1
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Arunkumar N, Olsson KS, Oon JT, Hart CA, Bucher DB, Glenn DR, Lukin MD, Park H, Ham D, Walsworth RL. Quantum Logic Enhanced Sensing in Solid-State Spin Ensembles. PHYSICAL REVIEW LETTERS 2023; 131:100801. [PMID: 37739376 DOI: 10.1103/physrevlett.131.100801] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2022] [Revised: 05/11/2023] [Accepted: 05/15/2023] [Indexed: 09/24/2023]
Abstract
We demonstrate quantum logic enhanced sensitivity for a macroscopic ensemble of solid-state, hybrid two-qubit sensors. We achieve over a factor of 30 improvement in the single-shot signal-to-noise ratio, translating to an ac magnetic field sensitivity enhancement exceeding an order of magnitude for time-averaged measurements. Using the electronic spins of nitrogen vacancy (NV) centers in diamond as sensors, we leverage the on-site nitrogen nuclear spins of the NV centers as memory qubits, in combination with homogeneous and stable bias and control fields, ensuring that all of the ∼10^{9} two-qubit sensors are sufficiently identical to permit global control of the NV ensemble spin states. We find quantum logic sensitivity enhancement for multiple measurement protocols with varying optimal sensing intervals, including XY8 and DROID-60 dynamical decoupling, as well as correlation spectroscopy, using an applied ac magnetic field signal. The results are independent of the nature of the target signal and broadly applicable to measurements using NV centers and other solid-state spin ensembles. This work provides a benchmark for macroscopic ensembles of quantum sensors that employ quantum logic or quantum error correction algorithms for enhanced sensitivity.
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Affiliation(s)
- Nithya Arunkumar
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
- Quantum Technology Center, University of Maryland, College Park, Maryland 20742, USA
| | - Kevin S Olsson
- Quantum Technology Center, University of Maryland, College Park, Maryland 20742, USA
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
- Intelligence Community Postdoctoral Research Fellowship Program, University of Maryland, College Park, Maryland 20742, USA
| | - Jner Tzern Oon
- Quantum Technology Center, University of Maryland, College Park, Maryland 20742, USA
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Connor A Hart
- Quantum Technology Center, University of Maryland, College Park, Maryland 20742, USA
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
| | - Dominik B Bucher
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
- Department of Chemistry, Technical University of Munich, Lichtenbergstraße 4, 85748 Garching, Germany
| | - David R Glenn
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
| | - Mikhail D Lukin
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
| | - Hongkun Park
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
- Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA
| | - Donhee Ham
- John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
| | - Ronald L Walsworth
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
- Quantum Technology Center, University of Maryland, College Park, Maryland 20742, USA
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
- Department of Physics, University of Maryland, College Park, Maryland 20742, USA
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2
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Krutyanskiy V, Canteri M, Meraner M, Bate J, Krcmarsky V, Schupp J, Sangouard N, Lanyon BP. Telecom-Wavelength Quantum Repeater Node Based on a Trapped-Ion Processor. PHYSICAL REVIEW LETTERS 2023; 130:213601. [PMID: 37295084 DOI: 10.1103/physrevlett.130.213601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/19/2022] [Revised: 02/17/2023] [Accepted: 03/16/2023] [Indexed: 06/12/2023]
Abstract
A quantum repeater node is presented based on trapped ions that act as single-photon emitters, quantum memories, and an elementary quantum processor. The node's ability to establish entanglement across two 25-km-long optical fibers independently, then to swap that entanglement efficiently to extend it over both fibers, is demonstrated. The resultant entanglement is established between telecom-wavelength photons at either end of the 50 km channel. Finally, the system improvements to allow for repeater-node chains to establish stored entanglement over 800 km at hertz rates are calculated, revealing a near-term path to distributed networks of entangled sensors, atomic clocks, and quantum processors.
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Affiliation(s)
- V Krutyanskiy
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Technikerstrasse 21a, 6020 Innsbruck, Austria
| | - M Canteri
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Technikerstrasse 21a, 6020 Innsbruck, Austria
| | - M Meraner
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Technikerstrasse 21a, 6020 Innsbruck, Austria
| | - J Bate
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
| | - V Krcmarsky
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Technikerstrasse 21a, 6020 Innsbruck, Austria
| | - J Schupp
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Technikerstrasse 21a, 6020 Innsbruck, Austria
| | - N Sangouard
- Institut de Physique Théorique, Université Paris-Saclay, CEA, CNRS, 91191 Gif-sur-Yvette, France
| | - B P Lanyon
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Technikerstrasse 21a, 6020 Innsbruck, Austria
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3
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Zhiqiang Z, Arnold KJ, Kaewuam R, Barrett MD. 176Lu + clock comparison at the 10 -18 level via correlation spectroscopy. SCIENCE ADVANCES 2023; 9:eadg1971. [PMID: 37134164 PMCID: PMC10156108 DOI: 10.1126/sciadv.adg1971] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/05/2023]
Abstract
The extreme precision of optical atomic clocks has led to an anticipated redefinition of the second by the International System of Units. Furthermore, accuracies pushing the boundary of 1 part in 1018 and beyond will enable new applications, such as in geodesy and tests of fundamental physics. The 1S0 to 3D1 optical transition in 176Lu+ has exceptionally low sensitivity to external perturbations, making it suitable for practical clock implementations with inaccuracy at or below 10-18. Here, we perform high-accuracy comparisons between two 176Lu+ references using correlation spectroscopy. A comparison at different magnetic fields is used to obtain a quadratic Zeeman coefficient of -4.89264(88) Hz/mT for the reference frequency. With a subsequent comparison at low field, we demonstrate agreement at the low 10-18 level, statistically limited by the averaging time of 42 hours. The evaluated uncertainty in the frequency difference is 9 × 10-19 and the lowest reported in comparing independent optical references.
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Affiliation(s)
- Zhang Zhiqiang
- Centre for Quantum Technologies, 3 Science Drive 2, Singapore 117543, Singapore
| | - Kyle J Arnold
- Centre for Quantum Technologies, 3 Science Drive 2, Singapore 117543, Singapore
- Temasek Laboratories, National University of Singapore, 5A Engineering Drive 1, Singapore 117411, Singapore
| | - Rattakorn Kaewuam
- Centre for Quantum Technologies, 3 Science Drive 2, Singapore 117543, Singapore
- National Institute of Metrology, 3 4 Khlong Ha, Khlong Luang District, Pathum Thani 12120, Thailand
| | - Murray D Barrett
- Centre for Quantum Technologies, 3 Science Drive 2, Singapore 117543, Singapore
- Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117551, Singapore
- National Metrology Center, 8 Cleantech Loop, 01-20, Singapore 637145, Singapore
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4
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Kraus B, Dawel F, Hannig S, Kramer J, Nauk C, Schmidt PO. Phase-stabilized UV light at 267 nm through twofold second harmonic generation. OPTICS EXPRESS 2022; 30:44992-45007. [PMID: 36522911 DOI: 10.1364/oe.471450] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/29/2022] [Accepted: 10/19/2022] [Indexed: 06/17/2023]
Abstract
Providing phase stable laser light is important to extend the interrogation time of optical clocks towards many seconds and thus achieve small statistical uncertainties. We report a laser system providing more than 50 µW phase-stabilized UV light at 267.4 nm for an aluminium ion optical clock. The light is generated by frequency-quadrupling a fibre laser at 1069.6 nm in two cascaded non-linear crystals, both in single-pass configuration. In the first stage, a 10 mm long PPLN waveguide crystal converts 1 W fundamental light to more than 0.2 W at 534.8 nm. In the following 50 mm long DKDP crystal, more than 50 µW of light at 267.4 nm are generated. An upper limit for the passive short-term phase stability has been measured by a beat-node measurement with an existing phase-stabilized quadrupling system employing the same source laser. The resulting fractional frequency instability of less than 5×10-17 after 1 s supports lifetime-limited probing of the 27Al+ clock transition, given a sufficiently stable laser source. A further improved stability of the fourth harmonic light is expected through interferometric path length stabilisation of the pump light by back-reflecting it through the entire setup and correcting for frequency deviations. The in-loop error signal indicates an electronically limited instability of 1 × 10-18 at 1 s.
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5
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Cui K, Valencia J, Boyce KT, Clements ER, Leibrandt DR, Hume DB. Scalable Quantum Logic Spectroscopy. PHYSICAL REVIEW LETTERS 2022; 129:193603. [PMID: 36399738 DOI: 10.1103/physrevlett.129.193603] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/17/2022] [Revised: 07/24/2022] [Accepted: 09/30/2022] [Indexed: 06/16/2023]
Abstract
In quantum logic spectroscopy (QLS), one species of trapped ion is used as a sensor to detect the state of an otherwise inaccessible ion species. This extends precision measurements to a broader class of atomic and molecular systems for applications like atomic clocks and tests of fundamental physics. Here, we develop a new technique based on a Schrödinger cat interferometer to address the problem of scaling QLS to larger ion numbers. We demonstrate the basic features of this method using various combinations of ^{25}Mg^{+} logic ions and ^{27}Al^{+} spectroscopy ions. We observe higher detection efficiency by increasing the number of ^{25}Mg^{+} ions. Applied to multiple ^{27}Al^{+}, this method will improve the stability of high-accuracy optical clocks and could enable Heisenberg-limited QLS.
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Affiliation(s)
- Kaifeng Cui
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- HEP Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
- Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
| | - Jose Valencia
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Kevin T Boyce
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Ethan R Clements
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - David R Leibrandt
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - David B Hume
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
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6
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Shabaev VM, Glazov DA, Ryzhkov AM, Brandau C, Plunien G, Quint W, Volchkova AM, Zinenko DV. Ground-State g Factor of Highly Charged ^{229}Th Ions: An Access to the M1 Transition Probability between the Isomeric and Ground Nuclear States. PHYSICAL REVIEW LETTERS 2022; 128:043001. [PMID: 35148134 DOI: 10.1103/physrevlett.128.043001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/03/2021] [Accepted: 12/21/2021] [Indexed: 06/14/2023]
Abstract
A method is proposed to determine the M1 nuclear transition amplitude and hence the lifetime of the "nuclear clock transition" between the low-lying (∼8 eV) first isomeric state and the ground state of ^{229}Th from a measurement of the ground-state g factor of few-electron ^{229}Th ions. As a tool, the effect of nuclear hyperfine mixing in highly charged ^{229}Th ions such as ^{229}Th^{89+} or ^{229}Th^{87+} is used. The ground-state-only g-factor measurement would also provide first experimental evidence of nuclear hyperfine mixing in atomic ions. Combining the measurements for H-, Li-, and B-like ^{229}Th ions has a potential to improve the initial result for a single charge state and to determine the nuclear magnetic moment to a higher accuracy than that of the currently accepted value. The calculations include relativistic, interelectronic-interaction, QED, and nuclear effects.
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Affiliation(s)
- V M Shabaev
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - D A Glazov
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - A M Ryzhkov
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - C Brandau
- I. Physikalisches Institut, Justus-Liebig-Universität, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt, Germany
| | - G Plunien
- Institut für Theoretische Physik, TU Dresden, Mommsenstrasse 13, Dresden, D-01062, Germany
| | - W Quint
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt, Germany
| | - A M Volchkova
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
| | - D V Zinenko
- Department of Physics, St. Petersburg State University, Universitetskaya 7/9, 199034 St. Petersburg, Russia
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7
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Holliman CA, Fan M, Contractor A, Brewer SM, Jayich AM. Radium Ion Optical Clock. PHYSICAL REVIEW LETTERS 2022; 128:033202. [PMID: 35119894 DOI: 10.1103/physrevlett.128.033202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2021] [Accepted: 12/15/2021] [Indexed: 06/14/2023]
Abstract
We report the first operation of a Ra^{+} optical clock, a promising high-performance clock candidate. The clock uses a single trapped ^{226}Ra^{+} ion and operates on the 7s ^{2}S_{1/2}→6d ^{2}D_{5/2} electric quadrupole transition. By self-referencing three pairs of symmetric Zeeman transitions, we demonstrate a frequency instability of 1.1×10^{-13}/sqrt[τ], where τ is the averaging time in seconds. The total systematic uncertainty is evaluated to be Δν/ν=9×10^{-16}. Using the clock, we realize the first measurement of the ratio of the D_{5/2} state to the S_{1/2} state Landé g-factors: g_{D}/g_{S}=0.598 805 3(11). A Ra^{+} optical clock could improve limits on the time variation of the fine structure constant, α[over ˙]/α, in an optical frequency comparison. The ion also has several features that make it a suitable system for a transportable optical clock.
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Affiliation(s)
- C A Holliman
- Department of Physics, University of California, Santa Barbara, California 93106, USA
| | - M Fan
- Department of Physics, University of California, Santa Barbara, California 93106, USA
| | - A Contractor
- Department of Physics, University of California, Santa Barbara, California 93106, USA
| | - S M Brewer
- Department of Physics, Colorado State University, Fort Collins, Colorado 80523, USA
| | - A M Jayich
- Department of Physics, University of California, Santa Barbara, California 93106, USA
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8
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Lange R, Peshkov AA, Huntemann N, Tamm C, Surzhykov A, Peik E. Lifetime of the ^{2}F_{7/2} Level in Yb^{+} for Spontaneous Emission of Electric Octupole Radiation. PHYSICAL REVIEW LETTERS 2021; 127:213001. [PMID: 34860090 DOI: 10.1103/physrevlett.127.213001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/23/2021] [Revised: 09/27/2021] [Accepted: 10/15/2021] [Indexed: 06/13/2023]
Abstract
We report a measurement of the radiative lifetime of the ^{2}F_{7/2} level of ^{171}Yb^{+} that is coupled to the ^{2}S_{1/2} ground state via an electric octupole transition. The radiative lifetime is determined to be 4.98(25)×10^{7} s, corresponding to 1.58(8) yr. The result reduces the relative uncertainty in this exceptionally long excited state lifetime by 1 order of magnitude with respect to previous experimental estimates. Our method is based on the coherent excitation of the corresponding transition and avoids limitations through competing decay processes. The explicit dependence on the laser intensity is eliminated by simultaneously measuring the resonant Rabi frequency and the induced quadratic Stark shift. Combining the result with information on the dynamic differential polarizability permits a calculation of the transition matrix element to infer the radiative lifetime.
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Affiliation(s)
- R Lange
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - A A Peshkov
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
- Institut für Mathematische Physik, Technische Universität Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig, Germany
| | - N Huntemann
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - Chr Tamm
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - A Surzhykov
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
- Institut für Mathematische Physik, Technische Universität Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig, Germany
- Laboratory for Emerging Nanometrology, Langer Kamp 6a/b, 38106 Braunschweig, Germany
| | - E Peik
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
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9
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Beloy K. Prospects of a Pb^{2+} Ion Clock. PHYSICAL REVIEW LETTERS 2021; 127:013201. [PMID: 34270290 PMCID: PMC10202158 DOI: 10.1103/physrevlett.127.013201] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/22/2021] [Accepted: 05/17/2021] [Indexed: 05/24/2023]
Abstract
We propose a high-performance atomic clock based on the 1.81 PHz transition between the ground and first-excited state of doubly ionized lead. Utilizing an even isotope of lead, both clock states have I=J=F=0, where I, J, and F are the conventional quantum numbers specifying nuclear, electronic, and total angular momentum, respectively. The clock states are nondegenerate and completely immune to nonscalar perturbations, including first order Zeeman and electric quadrupole shifts. Additionally, the proposed clock is relatively insusceptible to other frequency shifts (blackbody radiation, second order Zeeman, Doppler), accommodates "magic" rf trapping, and is robust against decoherence mechanisms that can otherwise limit clock stability. By driving the transition as a two-photon E1+M1 process, the accompanying probe Stark shift is appreciable yet manageable for practical Rabi frequencies.
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10
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Clements ER, Kim ME, Cui K, Hankin AM, Brewer SM, Valencia J, Chen JS, Chou CW, Leibrandt DR, Hume DB. Lifetime-Limited Interrogation of Two Independent ^{27}Al^{+} Clocks Using Correlation Spectroscopy. PHYSICAL REVIEW LETTERS 2020; 125:243602. [PMID: 33412042 PMCID: PMC8646206 DOI: 10.1103/physrevlett.125.243602] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2020] [Revised: 10/13/2020] [Accepted: 10/30/2020] [Indexed: 05/21/2023]
Abstract
Laser decoherence limits the stability of optical clocks by broadening the observable resonance linewidths and adding noise during the dead time between clock probes. Correlation spectroscopy avoids these limitations by measuring correlated atomic transitions between two ensembles, which provides a frequency difference measurement independent of laser noise. Here, we apply this technique to perform stability measurements between two independent clocks based on the ^{1}S_{0}↔^{3}P_{0} transition in ^{27}Al^{+}. By stabilizing the dominant sources of differential phase noise between the two clocks, we observe coherence between them during synchronous Ramsey interrogations as long as 8 s at a frequency of 1.12×10^{15} Hz. The observed contrast in the correlation spectroscopy signal is consistent with the 20.6 s ^{3}P_{0} state lifetime and represents a measurement instability of (1.8±0.5)×10^{-16}/sqrt[τ/s] for averaging periods longer than the probe duration when dead time is negligible.
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Affiliation(s)
- Ethan R. Clements
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - May E. Kim
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - Kaifeng Cui
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- HEP Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - Aaron M. Hankin
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Samuel M. Brewer
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - Jose Valencia
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Jwo-Sy Chen
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Chin-Wen Chou
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - David R. Leibrandt
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - David B. Hume
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
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11
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Giménez-Santamarina S, Cardona-Serra S, Clemente-Juan JM, Gaita-Ariño A, Coronado E. Exploiting clock transitions for the chemical design of resilient molecular spin qubits. Chem Sci 2020; 11:10718-10728. [PMID: 34094324 PMCID: PMC8162297 DOI: 10.1039/d0sc01187h] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
Molecular spin qubits are chemical nanoobjects with promising applications that are so far hampered by the rapid loss of quantum information, a process known as decoherence. A strategy to improve this situation involves employing so-called Clock Transitions (CTs), which arise at anticrossings between spin energy levels. At CTs, the spin states are protected from magnetic noise and present an enhanced quantum coherence. Unfortunately, these optimal points are intrinsically hard to control since their transition energy cannot be tuned by an external magnetic field; moreover, their resilience towards geometric distortions has not yet been analyzed. Here we employ a python-based computational tool for the systematic theoretical analysis and chemical optimization of CTs. We compare three relevant case studies with increasingly complex ground states. First, we start with vanadium(iv)-based spin qubits, where the avoided crossings are controlled by hyperfine interaction and find that these S = 1/2 systems are very promising, in particular in the case of vanadyl complexes in an L-band pulsed EPR setup. Second, we proceed with a study of the effect of symmetry distortions in a holmium polyoxotungstate of formula [Ho(W5O18)2]9- where CTs had already been experimentally demonstrated. Here we determine the relative importance of the different structural distortions that causes the anticrossings. Third, we study the most complicated case, a polyoxopalladate cube [HoPd12(AsPh)8O32]5- which presents an unusually rich ground spin multiplet. This system allows us to find uniquely favorable CTs that could nevertheless be accessible with standard pulsed EPR equipment (X-band or Q-band) after a suitable chemical distortion to break the perfect cubic symmetry. Since anticrossings and CTs constitute a rich source of physical phenomena in very different kinds of quantum systems, the generalization of this study is expected to have impact not only in molecular spin science but also in other related fields such as molecular photophysics and photochemistry.
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Affiliation(s)
| | - Salvador Cardona-Serra
- ICMol, Universitat de València C/Catedrático José Beltrán no 2 46980 Paterna Valencia Spain
| | - Juan M Clemente-Juan
- ICMol, Universitat de València C/Catedrático José Beltrán no 2 46980 Paterna Valencia Spain
| | - Alejandro Gaita-Ariño
- ICMol, Universitat de València C/Catedrático José Beltrán no 2 46980 Paterna Valencia Spain
| | - Eugenio Coronado
- ICMol, Universitat de València C/Catedrático José Beltrán no 2 46980 Paterna Valencia Spain
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12
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Kienzler D, Wan Y, Erickson SD, Wu JJ, Wilson AC, Wineland DJ, Leibfried D. Quantum Logic Spectroscopy with Ions in Thermal Motion. PHYSICAL REVIEW. X 2020; 10:10.1103/PhysRevX.10.021012. [PMID: 34136310 PMCID: PMC8204399 DOI: 10.1103/physrevx.10.021012] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
A mixed-species geometric phase gate has been proposed for implementing quantum logic spectroscopy on trapped ions, which combines probe and information transfer from the spectroscopy to the logic ion in a single pulse. We experimentally realize this method, show how it can be applied as a technique for identifying transitions in currently intractable atoms or molecules, demonstrate its reduced temperature sensitivity, and observe quantum-enhanced frequency sensitivity when it is applied to multi-ion chains. Potential applications include improved readout of trapped-ion clocks and simplified error syndrome measurements for quantum error correction.
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Affiliation(s)
- D. Kienzler
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - Y. Wan
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - S. D. Erickson
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - J. J. Wu
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - A. C. Wilson
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
| | - D. J. Wineland
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
- Department of Physics, University of Oregon, Eugene, Oregon 97403, USA
| | - D. Leibfried
- National Institute of Standards and Technology, Time and Frequency Division 688, 325 Broadway, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80305, USA
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13
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Detection of the 5p - 4f orbital crossing and its optical clock transition in Pr 9. Nat Commun 2019; 10:5651. [PMID: 31827086 PMCID: PMC6906385 DOI: 10.1038/s41467-019-13406-9] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2019] [Accepted: 11/01/2019] [Indexed: 11/15/2022] Open
Abstract
Recent theoretical works have proposed atomic clocks based on narrow optical transitions in highly charged ions. The most interesting candidates for searches of physics beyond the Standard Model are those which occur at rare orbital crossings where the shell structure of the periodic table is reordered. There are only three such crossings expected to be accessible in highly charged ions, and hitherto none have been observed as both experiment and theory have proven difficult. In this work we observe an orbital crossing in a system chosen to be tractable from both sides: Pr\documentclass[12pt]{minimal}
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\begin{document}$${}^{9+}$$\end{document}9+. We present electron beam ion trap measurements of its spectra, including the inter-configuration lines that reveal the sought-after crossing. With state-of-the-art calculations we show that the proposed nHz-wide clock line has a very high sensitivity to variation of the fine-structure constant, \documentclass[12pt]{minimal}
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\begin{document}$$\alpha$$\end{document}α, and violation of local Lorentz invariance; and has extremely low sensitivity to external perturbations. Atomic clocks are based on the frequency of optical transitions and offer high precision. Here the authors demonstrate a configuration crossing in the highly charged ion praseodymium (Pr\documentclass[12pt]{minimal}
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\begin{document}$${}^{9+}$$\end{document}9+) and determine the frequency of a potential reference transition for a highly charged ion clock.
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Yuan WH, Liu HL, Wei WZ, Ma ZY, Hao P, Deng Z, Deng K, Zhang J, Lu ZH. A simple method for in situ measurement of vacuum window birefringence. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2019; 90:113001. [PMID: 31779433 DOI: 10.1063/1.5121568] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2019] [Accepted: 10/21/2019] [Indexed: 06/10/2023]
Abstract
We present a simple method to measure the degrees of circular polarization (DoCP) of laser light inside a vacuum chamber and the birefringence of a vacuum window by detecting the fluorescence emitted by Doppler cooled ions in an ion trap. Imperfect laser polarization will cause ions to be pumped to the dark state which will decrease the fluorescence rates of the ions. With a simulation based on the rate equations of the relevant energy levels of 25Mg+ ions, we find that the fluorescence rate is sensitive to the DoCP of the laser. Based on the simulation result, we present a new method to optimize the DoCP of the laser inside the vacuum chamber by adjusting fast axis azimuthal angles of a half-wave plate and a quarter-wave plate outside the vacuum chamber. The laser light is optimized to be circularly polarized with an uncertainty of the DoCP of 7.8 × 10-5. With the obtained polarization information on both sides of the vacuum window and treating the vacuum window as an unknown wave plate, the phase delay and the fast axis azimuthal angle of the vacuum window can be determined in the form of Mueller matrix. The phase delay is determined to be 197.60(39)°, and the fast axis azimuthal angle is determined to be 104.00(5)°.
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Affiliation(s)
- W H Yuan
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - H L Liu
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - W Z Wei
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - Z Y Ma
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - P Hao
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - Z Deng
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - K Deng
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - J Zhang
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
| | - Z H Lu
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, Hubei Key Laboratory of Gravitation and Quantum Physics, PGMF and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
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15
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Brewer SM, Chen JS, Hankin AM, Clements ER, Chou CW, Wineland DJ, Hume DB, Leibrandt DR. ^{27}Al^{+} Quantum-Logic Clock with a Systematic Uncertainty below 10^{-18}. PHYSICAL REVIEW LETTERS 2019; 123:033201. [PMID: 31386450 DOI: 10.1103/physrevlett.123.033201] [Citation(s) in RCA: 105] [Impact Index Per Article: 21.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/21/2019] [Revised: 05/17/2019] [Indexed: 06/10/2023]
Abstract
We describe an optical atomic clock based on quantum-logic spectroscopy of the ^{1}S_{0}↔^{3}P_{0} transition in ^{27}Al^{+} with a systematic uncertainty of 9.4×10^{-19} and a frequency stability of 1.2×10^{-15}/sqrt[τ]. A ^{25}Mg^{+} ion is simultaneously trapped with the ^{27}Al^{+} ion and used for sympathetic cooling and state readout. Improvements in a new trap have led to reduced secular motion heating, compared to previous ^{27}Al^{+} clocks, enabling clock operation with ion secular motion near the three-dimensional ground state. Operating the clock with a lower trap drive frequency has reduced excess micromotion compared to previous ^{27}Al^{+} clocks. Both of these improvements have led to a reduced time-dilation shift uncertainty. Other systematic uncertainties including those due to blackbody radiation and the second-order Zeeman effect have also been reduced.
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Affiliation(s)
- S M Brewer
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - J-S Chen
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - A M Hankin
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - E R Clements
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
| | - C W Chou
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - D J Wineland
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
- Department of Physics, University of Oregon, Eugene, Oregon 97403, USA
| | - D B Hume
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - D R Leibrandt
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
- Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
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16
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Ohmae N, Katori H. 626-nm single-frequency semiconductor laser system operated near room temperature for mW-level second-harmonic generation at 313 nm. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2019; 90:063201. [PMID: 31254994 DOI: 10.1063/1.5096368] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2019] [Accepted: 05/11/2019] [Indexed: 06/09/2023]
Abstract
We report a 626-nm, single-frequency generation based on laser diodes operated near room temperature and the second-harmonic generation with an output power of 2 mW at 313 nm. A fundamental single-frequency laser at 626 nm consists of an external-cavity diode laser and a tapered semiconductor amplifier with 200 mW output. Antireflection coating of the laser diode expands the wavelength tuning range and realizes single-frequency output at 626 nm at room temperature. 313 nm light is generated by cavity-enhanced frequency doubling with a β-BaB2O4 crystal. A 313 nm laser with mW-level output power is useful for various experiments using laser cooling of beryllium ions.
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Affiliation(s)
- N Ohmae
- Space-Time Engineering Research Team, RIKEN Center for Advanced Photonics, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - H Katori
- Space-Time Engineering Research Team, RIKEN Center for Advanced Photonics, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
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17
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Hannig S, Pelzer L, Scharnhorst N, Kramer J, Stepanova M, Xu ZT, Spethmann N, Leroux ID, Mehlstäubler TE, Schmidt PO. Towards a transportable aluminium ion quantum logic optical clock. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2019; 90:053204. [PMID: 31153262 DOI: 10.1063/1.5090583] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/29/2019] [Accepted: 05/07/2019] [Indexed: 06/09/2023]
Abstract
With the advent of optical clocks featuring fractional frequency uncertainties on the order of 10-17 and below, new applications such as chronometric leveling with few-centimeter height resolution emerge. We are developing a transportable optical clock based on a single trapped aluminum ion, which is interrogated via quantum logic spectroscopy. We employ singly charged calcium as the logic ion for sympathetic cooling, state preparation, and readout. Here, we present a simple and compact physics and laser package for manipulation of 40Ca+. Important features are a segmented multilayer trap with separate loading and probing zones, a compact titanium vacuum chamber, a near-diffraction-limited imaging system with high numerical aperture based on a single biaspheric lens, and an all-in-fiber 40Ca+ repump laser system. We present preliminary estimates of the trap-induced frequency shifts on 27Al+, derived from measurements with a single calcium ion. The micromotion-induced second-order Doppler shift for 27Al+ has been determined to be δνEMMν=-0.4-0.3 +0.4×10-18 and the black-body radiation shift is δνBBR/ν = (-4.0 ± 0.4) × 10-18. Moreover, heating rates of 30 (7) quanta per second at trap frequencies of ωrad,Ca+ ≈ 2π × 2.5 MHz (ωax,Ca+ ≈ 2π × 1.5 MHz) in radial (axial) direction have been measured, enabling interrogation times of a few hundreds of milliseconds.
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Affiliation(s)
- S Hannig
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - L Pelzer
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - N Scharnhorst
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - J Kramer
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - M Stepanova
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - Z T Xu
- MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, 430074 Wuhan, People's Republic of China
| | - N Spethmann
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - I D Leroux
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - T E Mehlstäubler
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - P O Schmidt
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
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18
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19
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Mehlstäubler TE, Grosche G, Lisdat C, Schmidt PO, Denker H. Atomic clocks for geodesy. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2018; 81:064401. [PMID: 29667603 DOI: 10.1088/1361-6633/aab409] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We review experimental progress on optical atomic clocks and frequency transfer, and consider the prospects of using these technologies for geodetic measurements. Today, optical atomic frequency standards have reached relative frequency inaccuracies below 10-17, opening new fields of fundamental and applied research. The dependence of atomic frequencies on the gravitational potential makes atomic clocks ideal candidates for the search for deviations in the predictions of Einstein's general relativity, tests of modern unifying theories and the development of new gravity field sensors. In this review, we introduce the concepts of optical atomic clocks and present the status of international clock development and comparison. Besides further improvement in stability and accuracy of today's best clocks, a large effort is put into increasing the reliability and technological readiness for applications outside of specialized laboratories with compact, portable devices. With relative frequency uncertainties of 10-18, comparisons of optical frequency standards are foreseen to contribute together with satellite and terrestrial data to the precise determination of fundamental height reference systems in geodesy with a resolution at the cm-level. The long-term stability of atomic standards will deliver excellent long-term height references for geodetic measurements and for the modelling and understanding of our Earth.
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Affiliation(s)
- Tanja E Mehlstäubler
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
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20
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Marciniak CD, Ball HB, Hung ATH, Biercuk MJ. Towards fully commercial, UV-compatible fiber patch cords. OPTICS EXPRESS 2017; 25:15643-15661. [PMID: 28789079 DOI: 10.1364/oe.25.015643] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/19/2017] [Accepted: 06/21/2017] [Indexed: 06/07/2023]
Abstract
We present and analyze two pathways to produce commercial optical-fiber patch cords with stable long-term transmission in the ultraviolet (UV) at powers up to ~ 200 mW, and typical bulk transmission between 66-75 %. Commercial fiber patch cords in the UV are of great interest across a wide variety of scientific applications ranging from biology to metrology, and the lack of availability has yet to be suitably addressed. We provide a guide to producing such solarization-resistant, hydrogen-passivated, polarization-maintaining, connectorized and jacketed optical fibers compatible with demanding scientific and industrial applications. Our presentation describes the fabrication and hydrogen loading procedure in detail and presents a high-pressure vessel design, calculations of required H2 loading times, and information on patch cord handling and the mitigation of bending sensitivities. Transmission at 313 nm is measured over many months for cumulative energy on the fiber output of > 10 kJ with no demonstrable degradation due to UV solarization, in contrast to standard uncured fibers. Polarization sensitivity and stability are characterized yielding polarization extinction ratios between 15 dB and 25 dB at 313 nm, where we find patch cords become linearly polarizing. We observe that particle deposition at the fiber facet induced by high-intensity UV exposure can (reversibly) deteriorate patch cord performance and describe a technique for nitrogen purging of fiber collimators which mitigates this phenomenon.
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21
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Carollo RA, Lane DA, Kleiner EK, Kyaw PA, Teng CC, Ou CY, Qiao S, Hanneke D. Third-harmonic-generation of a diode laser for quantum control of beryllium ions. OPTICS EXPRESS 2017; 25:7220-7229. [PMID: 28380847 DOI: 10.1364/oe.25.007220] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We generate coherent ultraviolet radiation at 313 nm as the third harmonic of an external-cavity diode laser. We use this radiation for laser cooling of trapped beryllium atomic ions and sympathetic cooling of co-trapped beryllium-hydride molecular ions. An LBO crystal in an enhancement cavity generates the second harmonic, and a BBO crystal in a doubly resonant enhancement cavity mixes this second harmonic with the fundamental to produce the third harmonic. Each enhancement cavity is preceded by a tapered amplifier to increase the fundamental light. The 36-mW output power of this all-semiconductor-gain system will enable quantum control of the beryllium ions' motion.
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22
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Schulte M, Lörch N, Leroux ID, Schmidt PO, Hammerer K. Quantum Algorithmic Readout in Multi-Ion Clocks. PHYSICAL REVIEW LETTERS 2016; 116:013002. [PMID: 26799016 DOI: 10.1103/physrevlett.116.013002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2015] [Indexed: 06/05/2023]
Abstract
Optical clocks based on ensembles of trapped ions promise record frequency accuracy with good short-term stability. Most suitable ion species lack closed transitions, so the clock signal must be read out indirectly by transferring the quantum state of the clock ions to cotrapped logic ions of a different species. Existing methods of quantum logic readout require a linear overhead in either time or the number of logic ions. Here we describe a quantum algorithmic readout whose overhead scales logarithmically with the number of clock ions in both of these respects. The scheme allows a quantum nondemolition readout of the number of excited clock ions using a single multispecies gate operation which can also be used in other areas of ion trap technology such as quantum information processing, quantum simulations, metrology, and precision spectroscopy.
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Affiliation(s)
- M Schulte
- Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), Leibniz University Hannover, Callinstrasse 38, 30167 Hannover, Germany
| | - N Lörch
- Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), Leibniz University Hannover, Callinstrasse 38, 30167 Hannover, Germany
- Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland
| | - I D Leroux
- QUEST Institut, Physikalisch-Technische Bundesanstalt, 38116 Braunschweig, Germany
| | - P O Schmidt
- QUEST Institut, Physikalisch-Technische Bundesanstalt, 38116 Braunschweig, Germany
- Institute for Quantum Optics, Leibniz University Hannover, Welfengarten 1, 30167 Hannover, Germany
| | - K Hammerer
- Institute for Theoretical Physics and Institute for Gravitational Physics (Albert-Einstein-Institute), Leibniz University Hannover, Callinstrasse 38, 30167 Hannover, Germany
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23
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Dai SB, Zong N, Yang F, Zhang SJ, Wang ZM, Zhang FF, Tu W, Shang LQ, Liu LJ, Wang XY, Zhang JY, Cui DF, Peng QJ, Li RK, Chen CT, Xu ZY. 167.75-nm vacuum-ultraviolet ps laser by eighth-harmonic generation of a 1342-nm Nd:YVO4 amplifier in KBBF. OPTICS LETTERS 2015; 40:3268-3271. [PMID: 26176446 DOI: 10.1364/ol.40.003268] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We demonstrate a ps 167.75-nm vacuum-ultraviolet (VUV) laser by cascaded second-harmonic generation (SHG). The VUV laser is produced by eighth-harmonic generation (EHG) of a mode-locked ps 1342-nm Nd:YVO4 amplifier through three stages cascaded SHG with two LiB3O5 crystals and one KBe2BO3F2 crystal, successively. The 167.75-nm laser provides up to 65-μW output power, and the corresponding photon flux and photon flux density are 5.5×10(13) s(-1) and 1.6×10(18) s(-1)·cm(-2), respectively.
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24
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Sysoev AA, Troyan VI, Borisyuk PV, Krasavin AV, Vasiliev OS, Palchikov VG, Avdeev IA, Chernyshev DM, Poteshin SS. Multisectional linear ion trap and novel loading method for optical spectroscopy of electron and nuclear transitions. EUROPEAN JOURNAL OF MASS SPECTROMETRY (CHICHESTER, ENGLAND) 2015; 21:1-12. [PMID: 25906029 DOI: 10.1255/ejms.1329] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
There is a growing need for the development of atomic and nuclear frequency standards because of the important contribution of methods for precision time and frequency measurements to the development of fundamental science, technology, and the economy. It is also conditioned by their potential use in optical clocks and quantum logic applications. It is especially important to develop a universal method that could allow one to use ions of most elements effectively (including ones that are not easily evaporated) proposed for the above-mentioned applications. A linear quadrupole ion trap for the optical spectroscopy of electron and nuclear transitions has been developed and evaluated experimentally. An ion source construction is based on an ultra-high vacuum evaporator in which a metal sample is subjected to an electron beam of energy up to 1 keV, resulting in the appearance of gaseous atoms and ions of various charge state. The linear ion trap consists of five successive quadrupole sections including an entrance quadrupole section, quadrupole mass filter, quadrupole ion guide, ion-trap section, and exit quadrupole section. The same radiofrequency but a different direct current voltage feeds the quadrupole sections. The instrument allows the mass and energy selected trapping of ions from ion beams of various intensities and their localization in the area of laser irradiation. The preliminary results presented show that the proposed instrument and methods allow one to produce effectively up to triply charged thorium ions as well as to trap ions for future spectroscopic study. The instrument is proposed for future use in optical clocks and quantum logic application development.
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Affiliation(s)
- Alexey A Sysoev
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation. Linantec Ltd, 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Victor I Troyan
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Peter V Borisyuk
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Andrey V Krasavin
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Oleg S Vasiliev
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Vitaly G Palchikov
- Institute of Metrology for Time and Space at National Research Institute for Physical-Technical and Radiotechnical Measurements, Mendeleevo, Moscow Region, 141579, Russian Federation.
| | - Ivan A Avdeev
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation. Linantec Ltd, 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Denis M Chernyshev
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation. Linantec Ltd, 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
| | - Sergey S Poteshin
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Kashirskoe shosse 31, Moscow, Russian Federation. Linantec Ltd, 115409, Kashirskoe shosse 31, Moscow, Russian Federation.
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25
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Borisyuk PV, Vasil’ev OS, Loginov VB, Lebedinskii YY, Troyan VI. The formation of submonolayer thorium coatings on a silicon oxide surface by electrochemical deposition. COLLOID JOURNAL 2014. [DOI: 10.1134/s1061933x14050032] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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26
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Puentes G, Waldherr G, Neumann P, Balasubramanian G, Wrachtrup J. Efficient route to high-bandwidth nanoscale magnetometry using single spins in diamond. Sci Rep 2014; 4:4677. [PMID: 24728454 PMCID: PMC3985080 DOI: 10.1038/srep04677] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2014] [Accepted: 03/28/2014] [Indexed: 11/18/2022] Open
Abstract
Nitrogen-vacancy (NV) center in diamond is a promising quantum metrology tool finding applications across disciplines. The spin sensor measures magnetic fields, electric fields and temperature with nano-scale precision and is fully operable under ambient conditions. Moreover, it achieves precision scaling inversely with total measurement time σB ∝ 1/T (Heisenberg scaling) rather than as the inverse of the square root of T, with the Shot-Noise limit. This scaling can be achieved by means of phase estimation algorithms (PEAs), in combination with single-shot read-out. Despite their accuracy, the range of applicability of PEAs is limited to sensing single frequencies with negligible temporal fluctuations. Nuclear Magnetic Resonance (NMR) signals from molecules often contain multifrequency components and sensing them using PEA is ruled out. Here we propose an alternative method for precision magnetometry in frequency multiplexed signals via compressive sensing (CS) techniques focusing on nanoscale NMR. We show that CS can provide for precision scaling approximately as σB ≈ 1/T, as well as for a 5-fold increase in sensitivity over dynamic-range gain, in addition to reducing the total number of resources required. We illustrate our method by taking model solid-state spectra of Glycine acquired under Magic Angle Spinning conditions.
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Affiliation(s)
- Graciana Puentes
- 1] 3rd Institute of Physics, Research Center Scope and MPI for Solid State Research, University of Stuttgart, 70569 Stuttgart, Germany [2] ICFO - The Institute of Photonic Sciences, Mediterranean Technology Park, Av. Carl Friedrich Gauss 3, 08860 Castelldefels, Barcelona, Spain
| | - Gerald Waldherr
- 3rd Institute of Physics, Research Center Scope and MPI for Solid State Research, University of Stuttgart, 70569 Stuttgart, Germany
| | - Philipp Neumann
- 3rd Institute of Physics, Research Center Scope and MPI for Solid State Research, University of Stuttgart, 70569 Stuttgart, Germany
| | - Gopalakrishnan Balasubramanian
- Max-Planck Institute for Biophysical Chemistry, Center for Nanoscale Microscopy and Molecular Physiology of the Brain (CNMPB), Goettingen 37077, Germany
| | - Jörg Wrachtrup
- 3rd Institute of Physics, Research Center Scope and MPI for Solid State Research, University of Stuttgart, 70569 Stuttgart, Germany
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27
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Ramm M, Pruttivarasin T, Kokish M, Talukdar I, Häffner H. Precision measurement method for branching fractions of excited P(1/2) states applied to 40Ca+. PHYSICAL REVIEW LETTERS 2013; 111:023004. [PMID: 23889393 DOI: 10.1103/physrevlett.111.023004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2013] [Indexed: 06/02/2023]
Abstract
We present a method for measuring branching fractions for the decay of J=1/2 atomic energy levels to lower-lying states based on time-resolved recording of the atom's fluorescence during a series of population transfers. We apply this method to measure the branching fractions for the decay of the 4²P(1/2) state of 40Ca+ to the 4²S(1/2) and 3²D(3/2) states to be 0.935 65(7) and 0.064 35(7), respectively. The measurement scheme requires that at least one of the lower-lying states be long lived. The method is insensitive to fluctuations in laser light intensity and magnetic field and is readily applicable to various atomic species due to its simplicity. Our result distinguishes well among existing state-of-the-art theoretical models of Ca+.
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Affiliation(s)
- Michael Ramm
- Department of Physics, University of California, Berkeley, California 94720, USA
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Derevianko A, Dzuba VA, Flambaum VV. Highly charged ions as a basis of optical atomic clockwork of exceptional accuracy. PHYSICAL REVIEW LETTERS 2012; 109:180801. [PMID: 23215265 DOI: 10.1103/physrevlett.109.180801] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2012] [Indexed: 06/01/2023]
Abstract
We propose a novel class of atomic clocks based on highly charged ions. We consider highly forbidden laser-accessible transitions within the 4f(12) ground-state configurations of highly charged ions. Our evaluation of systematic effects demonstrates that these transitions may be used for building exceptionally accurate atomic clocks which may compete in accuracy with recently proposed nuclear clocks.
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Affiliation(s)
- Andrei Derevianko
- Department of Physics, University of Nevada, Reno, Nevada 89557, USA
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29
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Hume DB, Chou CW, Leibrandt DR, Thorpe MJ, Wineland DJ, Rosenband T. Trapped-ion state detection through coherent motion. PHYSICAL REVIEW LETTERS 2011; 107:243902. [PMID: 22243001 DOI: 10.1103/physrevlett.107.243902] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2011] [Indexed: 05/31/2023]
Abstract
We demonstrate a general method for state detection of trapped ions that can be applied to a large class of atomic and molecular species. We couple a spectroscopy ion (27Al+) to a control ion (25Mg+) in the same trap and perform state detection through off-resonant laser excitation of the spectroscopy ion that induces coherent motion. The motional amplitude, dependent on the spectroscopy ion state, is measured either by time-resolved photon counting or by resolved sideband excitations on the control ion. The first method provides a simplified way to distinguish clock states in 27Al+, which avoids ground-state cooling and sideband transitions. The second method reduces spontaneous emission and optical pumping on the spectroscopy ion, which we demonstrate by nondestructively distinguishing Zeeman sublevels in the (1)S0 ground state of 27Al+.
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Affiliation(s)
- D B Hume
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA.
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30
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Gill P. When should we change the definition of the second? PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2011; 369:4109-4130. [PMID: 21930568 DOI: 10.1098/rsta.2011.0237] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The microwave caesium (Cs) atomic clock has formed an enduring basis for the second in the International System of Units (SI) over the last few decades. The advent of laser cooling has underpinned the development of cold Cs fountain clocks, which now achieve frequency uncertainties of approximately 5×10(-16). Since 2000, optical atomic clock research has quickened considerably, and now challenges Cs fountain clock performance. This has been suitably shown by recent results for the aluminium Al(+) quantum logic clock, where a fractional frequency inaccuracy below 10(-17) has been reported. A number of optical clock systems now achieve or exceed the performance of the Cs fountain primary standards used to realize the SI second, raising the issues of whether, how and when to redefine it. Optical clocks comprise frequency-stabilized lasers probing very weak absorptions either in a single cold ion confined in an electromagnetic trap or in an ensemble of cold atoms trapped within an optical lattice. In both cases, different species are under consideration as possible redefinition candidates. In this paper, I consider options for redefinition, contrast the performance of various trapped ion and optical lattice systems, and point to potential limiting environmental factors, such as magnetic, electric and light fields, collisions and gravity, together with the challenge of making remote comparisons of optical frequencies between standards laboratories worldwide.
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Affiliation(s)
- Patrick Gill
- National Physical Laboratory, Teddington, Middlesex, TW11 0LW, UK.
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32
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Ovsiannikov VD, Derevianko A, Gibble K. Rydberg spectroscopy in an optical lattice: blackbody thermometry for atomic clocks. PHYSICAL REVIEW LETTERS 2011; 107:093003. [PMID: 21929236 DOI: 10.1103/physrevlett.107.093003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/23/2011] [Indexed: 05/31/2023]
Abstract
We show that optical spectroscopy of Rydberg states can provide accurate in situ thermometry at room temperature. Transitions from a metastable state to Rydberg states with principal quantum numbers of 25-30 have 200 times larger fractional frequency sensitivities to blackbody radiation than the strontium clock transition. We demonstrate that magic-wavelength lattices exist for both strontium and ytterbium transitions between the metastable and Rydberg states. Frequency measurements of Rydberg transitions with 10(-16) accuracy provide 10 mK resolution and yield a blackbody uncertainty for the clock transition of 10(-18).
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Affiliation(s)
- Vitali D Ovsiannikov
- Physics Department, Voronezh State University, Universitetskaya pl. 1, 394006, Voronezh, Russia
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Westergaard PG, Lodewyck J, Lorini L, Lecallier A, Burt EA, Zawada M, Millo J, Lemonde P. Lattice-induced frequency shifts in Sr optical lattice clocks at the 10(-17) level. PHYSICAL REVIEW LETTERS 2011; 106:210801. [PMID: 21699284 DOI: 10.1103/physrevlett.106.210801] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2011] [Indexed: 05/31/2023]
Abstract
We present a comprehensive study of the frequency shifts associated with the lattice potential in a Sr lattice clock by comparing two such clocks with a frequency stability reaching 5×10(-17) after a 1 h integration time. We put the first experimental upper bound on the multipolar M1 and E2 interactions, significantly smaller than the recently predicted theoretical upper limit, and give a 30-fold improved upper limit on the effect of hyperpolarizability. Finally, we report on the first observation of the vector and tensor shifts in a Sr lattice clock. Combining these measurements, we show that all known lattice related perturbations will not affect the clock accuracy down to the 10(-17) level, even for lattices as deep as 150 recoil energies.
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Affiliation(s)
- P G Westergaard
- LNE-SYRTE, Observatoire de Paris, CNRS, UPMC, 61 avenue de l'Observatoire, 75014 Paris, France
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Chou CW, Hume DB, Thorpe MJ, Wineland DJ, Rosenband T. Quantum coherence between two atoms beyond Q=10(15). PHYSICAL REVIEW LETTERS 2011; 106:160801. [PMID: 21599347 DOI: 10.1103/physrevlett.106.160801] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/19/2011] [Indexed: 05/30/2023]
Abstract
We place two atoms in quantum superposition states and observe coherent phase evolution for 3.4×10(15) cycles. Correlation signals from the two atoms yield information about their relative phase even after the probe radiation has decohered. This technique allowed a frequency comparison of two (27)Al(+) ions with fractional uncertainty 3.7(-0.8)(+1.0)×10(-16)/√[τ/s]. Two measures of the Q factor are reported: The Q factor derived from quantum coherence is 3.4(-1.1)(+2.4)×10(16), and the spectroscopic Q factor for a Ramsey time of 3 s is 6.7×10(15). We demonstrate a method to detect the individual quantum states of two Al(+) ions in a Mg(+)-Al(+)-Al(+) linear ion chain without spatially resolving the ions.
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Affiliation(s)
- C W Chou
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA.
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Goldstein G, Cappellaro P, Maze JR, Hodges JS, Jiang L, Sørensen AS, Lukin MD. Environment-assisted precision measurement. PHYSICAL REVIEW LETTERS 2011; 106:140502. [PMID: 21561175 DOI: 10.1103/physrevlett.106.140502] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/10/2010] [Indexed: 05/30/2023]
Abstract
We describe a method to enhance the sensitivity of precision measurements that takes advantage of the environment of a quantum sensor to amplify the response of the sensor to weak external perturbations. An individual qubit is used to sense the dynamics of surrounding ancillary qubits, which are in turn affected by the external field to be measured. The resulting sensitivity enhancement is determined by the number of ancillas that are coupled strongly to the sensor qubit; it does not depend on the exact values of the coupling strengths and is resilient to many forms of decoherence. The method achieves nearly Heisenberg-limited precision measurement, using a novel class of entangled states. We discuss specific applications to improve clock sensitivity using trapped ions and magnetic sensing based on electronic spins in diamond.
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Affiliation(s)
- G Goldstein
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
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Rellergert WG, DeMille D, Greco RR, Hehlen MP, Torgerson JR, Hudson ER. Constraining the evolution of the fundamental constants with a solid-state optical frequency reference based on the 229Th nucleus. PHYSICAL REVIEW LETTERS 2010; 104:200802. [PMID: 20867019 DOI: 10.1103/physrevlett.104.200802] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2009] [Indexed: 05/29/2023]
Abstract
We describe a novel approach to directly measure the energy of the narrow, low-lying isomeric state in 229Th. Since nuclear transitions are far less sensitive to environmental conditions than atomic transitions, we argue that the 229Th optical nuclear transition may be driven inside a host crystal with a high transition Q. This technique might also allow for the construction of a solid-state optical frequency reference that surpasses the short-term stability of current optical clocks, as well as improved limits on the variability of fundamental constants. Based on analysis of the crystal lattice environment, we argue that a precision (short-term stability) of 3×10(-17)<Δf/f<1×10(-15) after 1 s of photon collection may be achieved with a systematic-limited accuracy (long-term stability) of Δf/f∼2×10(-16). Improvement by 10(2)-10(3) of the constraints on the variability of several important fundamental constants also appears possible.
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Affiliation(s)
- Wade G Rellergert
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
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Chou CW, Hume DB, Koelemeij JCJ, Wineland DJ, Rosenband T. Frequency comparison of two high-accuracy Al+ optical clocks. PHYSICAL REVIEW LETTERS 2010; 104:070802. [PMID: 20366869 DOI: 10.1103/physrevlett.104.070802] [Citation(s) in RCA: 57] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/23/2009] [Indexed: 05/29/2023]
Abstract
We have constructed an optical clock with a fractional frequency inaccuracy of 8.6x10{-18}, based on quantum logic spectroscopy of an Al+ ion. A simultaneously trapped Mg+ ion serves to sympathetically laser cool the Al+ ion and detect its quantum state. The frequency of the {1}S{0}<-->{3}P{0} clock transition is compared to that of a previously constructed Al+ optical clock with a statistical measurement uncertainty of 7.0x10{-18}. The two clocks exhibit a relative stability of 2.8x10{-15}tau{-1/2}, and a fractional frequency difference of -1.8x10{-17}, consistent with the accuracy limit of the older clock.
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Affiliation(s)
- C W Chou
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA.
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Chwalla M, Benhelm J, Kim K, Kirchmair G, Monz T, Riebe M, Schindler P, Villar AS, Hänsel W, Roos CF, Blatt R, Abgrall M, Santarelli G, Rovera GD, Laurent P. Absolute frequency measurement of the 40Ca+ 4s(2)S_(1/2)-3d(2)D_(5/2) clock transition. PHYSICAL REVIEW LETTERS 2009; 102:023002. [PMID: 19257267 DOI: 10.1103/physrevlett.102.023002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/06/2008] [Indexed: 05/27/2023]
Abstract
We report on the first absolute transition frequency measurement at the 10;{-15} level with a single, laser-cooled 40Ca+ ion in a linear Paul trap. For this measurement, a frequency comb is referenced to the transportable Cs atomic fountain clock of LNE-SYRTE and is used to measure the 40Ca+ 4s ;{2}S_{1/2}-3d ;{2}D_{5/2} electric-quadrupole transition frequency. After the correction of systematic shifts, the clock transition frequency nu_{Ca;{+}}=411 042 129 776 393.2(1.0) Hz is obtained, which corresponds to a fractional uncertainty within a factor of 3 of the Cs standard. In addition, we determine the Landé g factor of the 3d;{2}D_{5/2} level to be g_{5/2}=1.200 334 0(3).
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Affiliation(s)
- M Chwalla
- Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria
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39
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Rosenband T, Hume DB, Schmidt PO, Chou CW, Brusch A, Lorini L, Oskay WH, Drullinger RE, Fortier TM, Stalnaker JE, Diddams SA, Swann WC, Newbury NR, Itano WM, Wineland DJ, Bergquist JC. Frequency ratio of Al+ and Hg+ single-ion optical clocks; metrology at the 17th decimal place. Science 2008; 319:1808-12. [PMID: 18323415 DOI: 10.1126/science.1154622] [Citation(s) in RCA: 1070] [Impact Index Per Article: 66.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Time has always had a special status in physics because of its fundamental role in specifying the regularities of nature and because of the extraordinary precision with which it can be measured. This precision enables tests of fundamental physics and cosmology, as well as practical applications such as satellite navigation. Recently, a regime of operation for atomic clocks based on optical transitions has become possible, promising even higher performance. We report the frequency ratio of two optical atomic clocks with a fractional uncertainty of 5.2 x 10(-17). The ratio of aluminum and mercury single-ion optical clock frequencies nuAl+/nuHg+ is 1.052871833148990438(55), where the uncertainty comprises a statistical measurement uncertainty of 4.3 x 10(-17), and systematic uncertainties of 1.9 x 10(-17) and 2.3 x 10(-17) in the mercury and aluminum frequency standards, respectively. Repeated measurements during the past year yield a preliminary constraint on the temporal variation of the fine-structure constant alpha of alpha/alpha = (-1.6+/-2.3) x 10(-17)/year.
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Affiliation(s)
- T Rosenband
- National Institute of Standards and Technology, 325 Broadway, Boulder, CO 80305, USA.
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Hachisu H, Miyagishi K, Porsev SG, Derevianko A, Ovsiannikov VD, Pal'chikov VG, Takamoto M, Katori H. Trapping of neutral mercury atoms and prospects for optical lattice clocks. PHYSICAL REVIEW LETTERS 2008; 100:053001. [PMID: 18352368 DOI: 10.1103/physrevlett.100.053001] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/16/2007] [Revised: 11/28/2007] [Indexed: 05/26/2023]
Abstract
We report vapor-cell magneto-optical trapping of Hg isotopes on the (1)S(0)-(3)P(1) intercombination transition. Six abundant isotopes, including four bosons and two fermions, were trapped. Hg is the heaviest nonradioactive atom trapped so far, which enables sensitive atomic searches for "new physics" beyond the standard model. We propose an accurate optical lattice clock based on Hg and evaluate its systematic accuracy to be better than 10;{-18}. Highly accurate and stable Hg-based clocks will provide a new avenue for the research of optical lattice clocks and the time variation of the fine-structure constant.
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Affiliation(s)
- H Hachisu
- Department of Applied Physics, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan
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Hume DB, Rosenband T, Wineland DJ. High-fidelity adaptive qubit detection through repetitive quantum nondemolition measurements. PHYSICAL REVIEW LETTERS 2007; 99:120502. [PMID: 17930485 DOI: 10.1103/physrevlett.99.120502] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2007] [Indexed: 05/25/2023]
Abstract
Using two trapped ion species ((27)Al(+) and (9)Be(+)) as primary and ancillary quantum systems, we implement qubit measurements based on the repetitive transfer of information and quantum nondemolition detection. The repetition provides a natural mechanism for an adaptive measurement strategy, which leads to exponentially lower error rates compared to using a fixed number of detection cycles. For a single qubit we demonstrate 99.94% measurement fidelity. We also demonstrate a technique for adaptively measuring multiple qubit states using a single ancilla, and apply the technique to spectroscopy of an optical clock transition.
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Affiliation(s)
- D B Hume
- Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
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