1
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Maji K, Sarkar J, Mandal S, H S, Hingankar M, Mukherjee A, Samal S, Bhattacharjee A, Patankar MP, Watanabe K, Taniguchi T, Deshmukh MM. Superconducting Cavity-Based Sensing of Band Gaps in 2D Materials. NANO LETTERS 2024; 24:4369-4375. [PMID: 38393831 DOI: 10.1021/acs.nanolett.3c04990] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/25/2024]
Abstract
The superconducting coplanar waveguide (SCPW) cavity plays an essential role in various areas like superconducting qubits, parametric amplifiers, radiation detectors, and studying magnon-photon and photon-phonon coupling. Despite its wide-ranging applications, the use of SCPW cavities to study various van der Waals 2D materials has been relatively unexplored. The resonant modes of the SCPW cavity exquisitely sense the dielectric environment. In this work, we measure the charge compressibility of bilayer graphene coupled to a half-wavelength SCPW cavity. Our approach provides a means to detect subtle changes in the capacitance of the bilayer graphene heterostructure, which depends on the compressibility of bilayer graphene, manifesting as shifts in the resonant frequency of the cavity. This method holds promise for exploring a wide class of van der Waals 2D materials, including transition metal dichalcogenides (TMDs) and their moiré, where DC transport measurement is challenging.
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Affiliation(s)
- Krishnendu Maji
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Joydip Sarkar
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Supriya Mandal
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Sriram H
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Mahesh Hingankar
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Ayshi Mukherjee
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Soumyajit Samal
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Anirban Bhattacharjee
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Meghan P Patankar
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
| | - Kenji Watanabe
- Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Mandar M Deshmukh
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
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2
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Ranjan V, Wen Y, Keyser AKV, Kubatkin SE, Danilov AV, Lindström T, Bertet P, de Graaf SE. Spin-Echo Silencing Using a Current-Biased Frequency-Tunable Resonator. PHYSICAL REVIEW LETTERS 2022; 129:180504. [PMID: 36374697 DOI: 10.1103/physrevlett.129.180504] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2022] [Revised: 08/22/2022] [Accepted: 10/06/2022] [Indexed: 06/16/2023]
Abstract
The ability to control microwave emission from a spin ensemble is a requirement of several quantum memory protocols. Here, we demonstrate such ability by using a resonator whose frequency can be rapidly tuned with a bias current. We store excitations in an ensemble of rare-earth ions and suppress on demand the echo emission ("echo silencing") by two methods: (1) detuning the resonator during the spin rephasing, and (2) subjecting spins to magnetic field gradients generated by the bias current itself. We also show that spin coherence is preserved during silencing.
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Affiliation(s)
- V Ranjan
- National Physical Laboratory, Teddington TW11 0LW, United Kingdom
| | - Y Wen
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - A K V Keyser
- National Physical Laboratory, Teddington TW11 0LW, United Kingdom
- Imperial College London, Exhibition Road, SW7 2AZ, United Kingdom
| | - S E Kubatkin
- Department of Microtechnology and Nanoscience MC2, Chalmers University of Technology, SE-41296 Goteborg, Sweden
| | - A V Danilov
- Department of Microtechnology and Nanoscience MC2, Chalmers University of Technology, SE-41296 Goteborg, Sweden
| | - T Lindström
- National Physical Laboratory, Teddington TW11 0LW, United Kingdom
| | - P Bertet
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - S E de Graaf
- National Physical Laboratory, Teddington TW11 0LW, United Kingdom
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3
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Le Dantec M, Rančić M, Lin S, Billaud E, Ranjan V, Flanigan D, Bertaina S, Chanelière T, Goldner P, Erb A, Liu RB, Estève D, Vion D, Flurin E, Bertet P. Twenty-three-millisecond electron spin coherence of erbium ions in a natural-abundance crystal. SCIENCE ADVANCES 2021; 7:eabj9786. [PMID: 34910504 PMCID: PMC8673753 DOI: 10.1126/sciadv.abj9786] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/14/2021] [Accepted: 10/26/2021] [Indexed: 06/14/2023]
Abstract
Erbium ions embedded in crystals have unique properties for quantum information processing, because of their optical transition at 1.5 μm and of the large magnetic moment of their effective spin-1/2 electronic ground state. Most applications of erbium require, however, long electron spin coherence times, and this has so far been missing. Here, by selecting a host matrix with a low nuclear-spin density (CaWO4) and by quenching the spectral diffusion due to residual paramagnetic impurities at millikelvin temperatures, we obtain a 23-ms coherence time on the Er3+ electron spin transition. This is the longest Hahn echo electron spin coherence time measured in a material with a natural abundance of nuclear spins and on a magnetically sensitive transition. Our results establish Er3+:CaWO4 as a potential platform for quantum networks.
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Affiliation(s)
- Marianne Le Dantec
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Miloš Rančić
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Sen Lin
- Department of Physics, Centre for Quantum Coherence, and The Hong Kong Institute of Quantum Information Science and Technology, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
| | - Eric Billaud
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Vishal Ranjan
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Daniel Flanigan
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Sylvain Bertaina
- CNRS, Aix-Marseille Université, IM2NP (UMR 7334), Institut Matériaux Microélectronique et Nanosciences de Provence, Marseille, France
| | - Thierry Chanelière
- Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, 38000 Grenoble, France
| | - Philippe Goldner
- Chimie ParisTech, PSL University, CNRS, Institut de Recherche de Chimie Paris, 75005 Paris, France
| | - Andreas Erb
- Walther Meissner Institut, Bayerische Akademie der Wissenschaften, Garching, Germany
| | - Ren Bao Liu
- Department of Physics, Centre for Quantum Coherence, and The Hong Kong Institute of Quantum Information Science and Technology, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
| | - Daniel Estève
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Denis Vion
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Emmanuel Flurin
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
| | - Patrice Bertet
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette cedex, France
- AIDAS, 91191 Gif-sur-Yvette cedex, France
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4
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Lenz S, König D, Hunger D, van Slageren J. Room-Temperature Quantum Memories Based on Molecular Electron Spin Ensembles. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2021; 33:e2101673. [PMID: 34106491 DOI: 10.1002/adma.202101673] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/01/2021] [Revised: 05/06/2021] [Indexed: 06/12/2023]
Abstract
Whilst quantum computing has recently taken great leaps ahead, the development of quantum memories has decidedly lagged behind. Quantum memories are essential devices in the quantum technology palette and are needed for intermediate storage of quantum bit states and as quantum repeaters in long-distance quantum communication. Current quantum memories operate at cryogenic, mostly sub-Kelvin temperatures and require extensive and costly peripheral hardware. It is demonstrated that ensembles of weakly coupled molecular spins show long coherence times and can be used to store microwave pulses of arbitrary phase. These studies exploit strong coupling of the spin ensemble to special 3D microwave resonators. Most importantly, these systems operate at room temperature.
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Affiliation(s)
- Samuel Lenz
- Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Pfaffenwaldring 55, D-70569, Stuttgart, Germany
| | - Dennis König
- Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Pfaffenwaldring 55, D-70569, Stuttgart, Germany
| | - David Hunger
- Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Pfaffenwaldring 55, D-70569, Stuttgart, Germany
| | - Joris van Slageren
- Institute of Physical Chemistry and Center for Integrated Quantum Science and Technology, University of Stuttgart, Pfaffenwaldring 55, D-70569, Stuttgart, Germany
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5
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Prisco NA, Pinon AC, Emsley L, Chmelka BF. Scaling analyses for hyperpolarization transfer across a spin-diffusion barrier and into bulk solid media. Phys Chem Chem Phys 2021; 23:1006-1020. [PMID: 33404028 DOI: 10.1039/d0cp03195j] [Citation(s) in RCA: 26] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Abstract
By analogy to heat and mass transfer film theory, a general approach is introduced for determining hyperpolarization transfer rates between dilute electron spins and a surrounding nuclear ensemble. These analyses provide new quantitative relationships for understanding, predicting, and optimizing the effectiveness of hyperpolarization protocols, such as Dynamic Nuclear Polarization (DNP) under magic-angle spinning conditions. An empirical DNP polarization-transfer coefficient is measured as a function of the bulk matrix 1H spin density and indicates the presence of two distinct kinetic regimes associated with different rate-limiting polarization transfer phenomena. Dimensional property relationships are derived and used to evaluate the competitive rates of spin polarization generation, propagation, and dissipation that govern hyperpolarization transfer between large coupled spin ensembles. The quantitative analyses agree closely with experimental measurements for the accumulation, propagation, and dissipation of hyperpolarization in solids and provide evidence for kinetically-limited transfer associated with a spin-diffusion barrier. The results and classical approach yield general design criteria for analyzing and optimizing polarization transfer processes involving complex interfaces and composite media for applications in materials science, physical chemistry and nuclear spintronics.
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Affiliation(s)
- Nathan A Prisco
- Department of Chemical Engineering, University of California Santa Barbara, USA.
| | - Arthur C Pinon
- Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
| | - Lyndon Emsley
- Institut des Sciences et Ingénierie Chimiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
| | - Bradley F Chmelka
- Department of Chemical Engineering, University of California Santa Barbara, USA.
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6
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Keyser AKV, Burnett JJ, Kubatkin SE, Danilov AV, Oxborrow M, de Graaf SE, Lindström T. Pulsed electron spin resonance of an organic microcrystal by dispersive readout. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2020; 321:106853. [PMID: 33128916 DOI: 10.1016/j.jmr.2020.106853] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/04/2020] [Revised: 10/14/2020] [Accepted: 10/15/2020] [Indexed: 06/11/2023]
Abstract
We establish a testbed system for the development of high-sensitivity Electron Spin Resonance (ESR) techniques for small samples at cryogenic temperatures. Our system consists of a NbN thin-film planar superconducting microresonator designed to have a concentrated mode volume to couple to a small amount of paramagnetic material, and to be resilient to magnetic fields of up to 400mT. At 65mK we measure high-cooperativity coupling (C≈19) to an organic radical microcrystal containing 1012 spins in a pico-litre volume. We detect the spin-lattice decoherence rate via the dispersive frequency shift of the resonator. Techniques such as these could be suitable for applications in quantum information as well as for pulsed ESR interrogation of very few spins to provide insights into the surface chemistry of, for example, the material defects in superconducting quantum processors.
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Affiliation(s)
- Ailsa K V Keyser
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, UK; Imperial College London, Exhibition Road, SW7 2AZ, UK.
| | | | - Sergey E Kubatkin
- Department of Microtechnology and Nanoscience, MC2, Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Andrey V Danilov
- Department of Microtechnology and Nanoscience, MC2, Chalmers University of Technology, SE-41296 Gothenburg, Sweden
| | - Mark Oxborrow
- Imperial College London, Exhibition Road, SW7 2AZ, UK
| | | | - Tobias Lindström
- National Physical Laboratory, Hampton Road, Teddington TW11 0LW, UK
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7
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Ranjan V, O'Sullivan J, Albertinale E, Albanese B, Chanelière T, Schenkel T, Vion D, Esteve D, Flurin E, Morton JJL, Bertet P. Multimode Storage of Quantum Microwave Fields in Electron Spins over 100 ms. PHYSICAL REVIEW LETTERS 2020; 125:210505. [PMID: 33274991 DOI: 10.1103/physrevlett.125.210505] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/24/2020] [Accepted: 10/19/2020] [Indexed: 06/12/2023]
Abstract
We report long coherence times (up to 300 ms) for near-surface bismuth donor electron spins in silicon coupled to a superconducting microresonator, biased at a clock transition. This enables us to demonstrate the partial absorption of a train of weak microwave fields in the spin ensemble, their storage for 100 ms, and their retrieval, using a Hahn-echo-like protocol. Phase coherence and quantum statistics are preserved in the storage.
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Affiliation(s)
- V Ranjan
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - J O'Sullivan
- London Centre for Nanotechnology, University College London, London WC1H 0AH, United Kingdom
| | - E Albertinale
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - B Albanese
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - T Chanelière
- Université Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, 38000 Grenoble, France
| | - T Schenkel
- Accelerator Technology and Applied Physics Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - D Vion
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - D Esteve
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - E Flurin
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
| | - J J L Morton
- London Centre for Nanotechnology, University College London, London WC1H 0AH, United Kingdom
| | - P Bertet
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette Cedex, France
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8
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Kroll JG, Uilhoorn W, van der Enden KL, de Jong D, Watanabe K, Taniguchi T, Goswami S, Cassidy MC, Kouwenhoven LP. Magnetic field compatible circuit quantum electrodynamics with graphene Josephson junctions. Nat Commun 2018; 9:4615. [PMID: 30397206 PMCID: PMC6218477 DOI: 10.1038/s41467-018-07124-x] [Citation(s) in RCA: 37] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2018] [Accepted: 10/18/2018] [Indexed: 11/08/2022] Open
Abstract
Circuit quantum electrodynamics has proven to be a powerful tool to probe mesoscopic effects in hybrid systems and is used in several quantum computing (QC) proposals that require a transmon qubit able to operate in strong magnetic fields. To address this we integrate monolayer graphene Josephson junctions into microwave frequency superconducting circuits to create graphene based transmons. Using dispersive microwave spectroscopy we resolve graphene's characteristic band dispersion and observe coherent electronic interference effects confirming the ballistic nature of our graphene Josephson junctions. We show that the monoatomic thickness of graphene renders the device insensitive to an applied magnetic field, allowing us to perform energy level spectroscopy of the circuit in a parallel magnetic field of 1 T, an order of magnitude higher than previous studies. These results establish graphene based superconducting circuits as a promising platform for QC and the study of mesoscopic quantum effects that appear in strong magnetic fields.
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Affiliation(s)
- J G Kroll
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands
| | - W Uilhoorn
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands
| | - K L van der Enden
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands
| | - D de Jong
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands
| | - K Watanabe
- Advanced Materials Laboratory, National Institute for Materials Science, 1-1 Namiki, Tsukuba, 305-0044, Japan
| | - T Taniguchi
- Advanced Materials Laboratory, National Institute for Materials Science, 1-1 Namiki, Tsukuba, 305-0044, Japan
| | - S Goswami
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands
| | - M C Cassidy
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands
| | - L P Kouwenhoven
- QuTech and Kavli Institute for Nanoscience, Delft University of Technology, 2600 GA, Delft, The Netherlands.
- Microsoft Station Q Delft, 2600 GA, Delft, The Netherlands.
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9
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Maleki Y, Zheltikov AM. Witnessing quantum entanglement in ensembles of nitrogen-vacancy centers coupled to a superconducting resonator. OPTICS EXPRESS 2018; 26:17849-17858. [PMID: 30114070 DOI: 10.1364/oe.26.017849] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/02/2018] [Accepted: 05/28/2018] [Indexed: 06/08/2023]
Abstract
A hybrid quantum device consisting of three ensembles of nitrogen-vacancy centers (NVEs) whose spins are collectively coupled to a superconducting coplanar waveguide resonator is shown to enable the generation of controllable tripartite macroscopic entangled states. The density matrix of such NVEs can be encoded to recast a three-qubit system state, which can be characterized in terms of the entanglement witnesses in relation to the Greenberger-Horne-Zeilinger (GHZ) states. We identify the parameter space within which the generated entangled states can have an arbitrarily large overlap with GHZ states, indicating an enhanced entanglement in the system.
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10
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Zhang FY, Yang CP. Tunable coupling of spin ensembles. OPTICS LETTERS 2018; 43:466-469. [PMID: 29400816 DOI: 10.1364/ol.43.000466] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/2017] [Accepted: 12/14/2017] [Indexed: 06/07/2023]
Abstract
Spin ensembles are promising candidates for quantum memory units because they have long coherence time. Controlling the coupling between spin ensembles is necessary and important in quantum information processing. In this Letter, we propose a method to realize tunable coupling between spin ensembles by a superconducting flux qubit acting as a coupler. The resulting coupling can be used to high-fidelity speed up the adiabatic transfer of quantum information.
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11
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Mergenthaler M, Liu J, Le Roy JJ, Ares N, Thompson AL, Bogani L, Luis F, Blundell SJ, Lancaster T, Ardavan A, Briggs GAD, Leek PJ, Laird EA. Strong Coupling of Microwave Photons to Antiferromagnetic Fluctuations in an Organic Magnet. PHYSICAL REVIEW LETTERS 2017; 119:147701. [PMID: 29053322 DOI: 10.1103/physrevlett.119.147701] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2017] [Indexed: 06/07/2023]
Abstract
Coupling between a crystal of di(phenyl)-(2,4,6-trinitrophenyl)iminoazanium radicals and a superconducting microwave resonator is investigated in a circuit quantum electrodynamics (circuit QED) architecture. The crystal exhibits paramagnetic behavior above 4 K, with antiferromagnetic correlations appearing below this temperature, and we demonstrate strong coupling at base temperature. The magnetic resonance acquires a field angle dependence as the crystal is cooled down, indicating anisotropy of the exchange interactions. These results show that multispin modes in organic crystals are suitable for circuit QED, offering a platform for their coherent manipulation. They also utilize the circuit QED architecture as a way to probe spin correlations at low temperature.
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Affiliation(s)
- Matthias Mergenthaler
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
- Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
| | - Junjie Liu
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
| | - Jennifer J Le Roy
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
| | - Natalia Ares
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
| | - Amber L Thompson
- Chemical Crystallography, Chemistry Research Laboratory, University of Oxford, Oxford OX1 3TA, United Kingdom
| | - Lapo Bogani
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
| | - Fernando Luis
- Instituto de Ciencia de Materiales de Aragón (CSIC-U. de Zaragoza), 50009 Zaragoza, Spain
| | - Stephen J Blundell
- Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
| | - Tom Lancaster
- Durham University, Centre for Materials Physics, Department of Physics, Durham DH1 3LE, United Kingdom
| | - Arzhang Ardavan
- Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
| | - G Andrew D Briggs
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
| | - Peter J Leek
- Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
| | - Edward A Laird
- Department of Materials, University of Oxford, Oxford OX1 3PH, United Kingdom
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12
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Matheoud AV, Gualco G, Jeong M, Zivkovic I, Brugger J, Rønnow HM, Anders J, Boero G. Single-chip electron spin resonance detectors operating at 50GHz, 92GHz, and 146GHz. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2017; 278:113-121. [PMID: 28388496 DOI: 10.1016/j.jmr.2017.03.013] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/27/2017] [Revised: 03/21/2017] [Accepted: 03/22/2017] [Indexed: 06/07/2023]
Abstract
We report on the design and characterization of single-chip electron spin resonance (ESR) detectors operating at 50GHz, 92GHz, and 146GHz. The core of the single-chip ESR detectors is an integrated LC-oscillator, formed by a single turn aluminum planar coil, a metal-oxide-metal capacitor, and two metal-oxide semiconductor field effect transistors used as negative resistance network. On the same chip, a second, nominally identical, LC-oscillator together with a mixer and an output buffer are also integrated. Thanks to the slightly asymmetric capacitance of the mixer inputs, a signal at a few hundreds of MHz is obtained at the output of the mixer. The mixer is used for frequency down-conversion, with the aim to obtain an output signal at a frequency easily manageable off-chip. The coil diameters are 120μm, 70μm, and 45μm for the U-band, W-band, and the D-band oscillators, respectively. The experimental frequency noises at 100kHz offset from the carrier are 90Hz/Hz1/2, 300Hz/Hz1/2, and 700Hz/Hz1/2 at 300K, respectively. The ESR spectra are obtained by measuring the frequency variations of the single-chip oscillators as a function of the applied magnetic field. The experimental spin sensitivities, as measured with a sample of α,γ-bisdiphenylene-β-phenylallyl (BDPA)/benzene complex, are 1×108spins/Hz1/2, 4×107spins/Hz1/2, 2×107spins/Hz1/2 at 300K, respectively. We also show the possibility to perform experiments up to 360GHz by means of the higher harmonics in the microwave field produced by the integrated single-chip LC-oscillators.
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Affiliation(s)
| | - Gabriele Gualco
- Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland
| | - Minki Jeong
- Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland
| | - Ivica Zivkovic
- Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland
| | - Jürgen Brugger
- Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland
| | - Henrik M Rønnow
- Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland
| | | | - Giovanni Boero
- Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne CH-1015, Switzerland.
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13
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Song WL, Yang WL, Yin ZQ, Chen CY, Feng M. Controllable quantum dynamics of inhomogeneous nitrogen-vacancy center ensembles coupled to superconducting resonators. Sci Rep 2016; 6:33271. [PMID: 27627994 PMCID: PMC5024108 DOI: 10.1038/srep33271] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2016] [Accepted: 08/22/2016] [Indexed: 11/09/2022] Open
Abstract
We explore controllable quantum dynamics of a hybrid system, which consists of an array of mutually coupled superconducting resonators (SRs) with each containing a nitrogen-vacancy center spin ensemble (NVE) in the presence of inhomogeneous broadening. We focus on a three-site model, which compared with the two-site case, shows more complicated and richer dynamical behavior, and displays a series of damped oscillations under various experimental situations, reflecting the intricate balance and competition between the NVE-SR collective coupling and the adjacent-site photon hopping. Particularly, we find that the inhomogeneous broadening of the spin ensemble can suppress the population transfer between the SR and the local NVE. In this context, although the inhomogeneous broadening of the spin ensemble diminishes entanglement among the NVEs, optimal entanglement, characterized by averaging the lower bound of concurrence, could be achieved through accurately adjusting the tunable parameters.
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Affiliation(s)
- Wan-Lu Song
- State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China.,University of the Chinese Academy of Sciences, Beijing 100049, China
| | - Wan-Li Yang
- State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
| | - Zhang-Qi Yin
- The Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084, P. R. China
| | - Chang-Yong Chen
- Department of Physics, Shaoguan University, Shaoguan, Guangdong 512005, China
| | - Mang Feng
- State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
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14
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Bienfait A, Pla JJ, Kubo Y, Stern M, Zhou X, Lo CC, Weis CD, Schenkel T, Thewalt MLW, Vion D, Esteve D, Julsgaard B, Mølmer K, Morton JJL, Bertet P. Reaching the quantum limit of sensitivity in electron spin resonance. NATURE NANOTECHNOLOGY 2016; 11:253-257. [PMID: 26657787 DOI: 10.1038/nnano.2015.282] [Citation(s) in RCA: 59] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2015] [Accepted: 10/29/2015] [Indexed: 06/05/2023]
Abstract
The detection and characterization of paramagnetic species by electron spin resonance (ESR) spectroscopy is widely used throughout chemistry, biology and materials science, from in vivo imaging to distance measurements in spin-labelled proteins. ESR relies on the inductive detection of microwave signals emitted by the spins into a coupled microwave resonator during their Larmor precession. However, such signals can be very small, prohibiting the application of ESR at the nanoscale (for example, at the single-cell level or on individual nanoparticles). Here, using a Josephson parametric microwave amplifier combined with high-quality-factor superconducting microresonators cooled at millikelvin temperatures, we improve the state-of-the-art sensitivity of inductive ESR detection by nearly four orders of magnitude. We demonstrate the detection of 1,700 bismuth donor spins in silicon within a single Hahn echo with unit signal-to-noise ratio, reduced to 150 spins by averaging a single Carr-Purcell-Meiboom-Gill sequence. This unprecedented sensitivity reaches the limit set by quantum fluctuations of the electromagnetic field instead of thermal or technical noise, which constitutes a novel regime for magnetic resonance. The detection volume of our resonator is ∼ 0.02 nl, and our approach can be readily scaled down further to improve sensitivity, providing a new versatile toolbox for ESR at the nanoscale.
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Affiliation(s)
- A Bienfait
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
| | - J J Pla
- London Centre for Nanotechnology, University College London, London WC1H 0AH, UK
| | - Y Kubo
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
| | - M Stern
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
- Quantum Nanoelectronics Laboratory, BINA, Bar Ilan University, Ramat Gan, Israel
| | - X Zhou
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
- ISEN Department, Institute of Electronics Microelectronics and Nanotechnology, CNRS UMR 8520, Avenue Poincaré, CS 60069, Villeneuve d'Ascq Cedex 59652, France
| | - C C Lo
- London Centre for Nanotechnology, University College London, London WC1H 0AH, UK
| | - C D Weis
- Accelerator Technology and Applied Physics Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - T Schenkel
- Accelerator Technology and Applied Physics Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - M L W Thewalt
- Department of Physics, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada
| | - D Vion
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
| | - D Esteve
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
| | - B Julsgaard
- Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, Aarhus C DK-8000, Denmark
| | - K Mølmer
- Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, Aarhus C DK-8000, Denmark
| | - J J L Morton
- London Centre for Nanotechnology, University College London, London WC1H 0AH, UK
| | - P Bertet
- Quantronics Group, SPEC, CEA, CNRS, Université Paris-Saclay, CEA Saclay, 91191 Gif-sur-Yvette, France
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15
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Entanglement dynamics of Nitrogen-vacancy centers spin ensembles coupled to a superconducting resonator. Sci Rep 2016; 6:21775. [PMID: 26902910 PMCID: PMC4763275 DOI: 10.1038/srep21775] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2015] [Accepted: 01/29/2016] [Indexed: 12/02/2022] Open
Abstract
Exploration of macroscopic quantum entanglement is of great interest in both fundamental science and practical application. We investigate a hybrid quantum system that consists of two nitrogen-vacancy centers ensembles (NVE) coupled to a superconducting coplanar waveguide resonator (CPWR). The collective magnetic coupling between the NVE and the CPWR is employed to generate macroscopic entanglement between the NVEs, where the CPWR acts as the quantum bus. We find that, this NVE-CPWR hybrid system behaves as a system of three coupled harmonic oscillators, and the excitation prepared initially in the CPWR can be distributed into these two NVEs. In the nondissipative case, the entanglement of NVEs oscillates periodically and the maximal entanglement always keeps unity if the CPWR is initially prepared in the odd coherent state. Considering the dissipative effect from the CPWR and NVEs, the amount of entanglement between these two NVEs strongly depends on the initial state of the CPWR, and the maximal entanglement can be tuned by adjusting the initial states of the total system. The experimental feasibility and challenge with currently available technology are discussed.
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16
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Zhang X, Zou CL, Zhu N, Marquardt F, Jiang L, Tang HX. Magnon dark modes and gradient memory. Nat Commun 2015; 6:8914. [PMID: 26568130 PMCID: PMC4660366 DOI: 10.1038/ncomms9914] [Citation(s) in RCA: 203] [Impact Index Per Article: 22.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2015] [Accepted: 10/15/2015] [Indexed: 12/02/2022] Open
Abstract
Extensive efforts have been expended in developing hybrid quantum systems to overcome the short coherence time of superconducting circuits by introducing the naturally long-lived spin degree of freedom. Among all the possible materials, single-crystal yttrium iron garnet has shown up recently as a promising candidate for hybrid systems, and various highly coherent interactions, including strong and even ultrastrong coupling, have been demonstrated. One distinct advantage in these systems is that spins form well-defined magnon modes, which allows flexible and precise tuning. Here we demonstrate that by dissipation engineering, a non-Markovian interaction dynamics between the magnon and the microwave cavity photon can be achieved. Such a process enables us to build a magnon gradient memory to store information in the magnon dark modes, which decouple from the microwave cavity and thus preserve a long lifetime. Our findings provide a promising approach for developing long-lifetime, multimode quantum memories. Yttrium iron garnet is a ferrimagnetic insulator which demonstrates robust photon-spin coupling in hybrid microwave cavity systems. Here, the authors demonstrate a magnon gradient memory based on the dark modes of a strongly-coupled system of multiple yttrium iron garnet spheres.
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Affiliation(s)
- Xufeng Zhang
- Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA
| | - Chang-Ling Zou
- Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA.,Department of Applied Physics, Yale University, New Haven, Connecticut 06511, USA.,Key Lab of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, China
| | - Na Zhu
- Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA
| | - Florian Marquardt
- Institute for Theoretical Physics II, University of Erlangen-Nuremberg, Staudtstrasse 7, 91058 Erlangen, Germany.,Max Planck Institute for the Science of Light, Günther-Scharowsky-Straße 1/Bau 24, 91058 Erlangen, Germany
| | - Liang Jiang
- Department of Applied Physics, Yale University, New Haven, Connecticut 06511, USA
| | - Hong X Tang
- Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA
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17
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de Lange G, van Heck B, Bruno A, van Woerkom DJ, Geresdi A, Plissard SR, Bakkers EPAM, Akhmerov AR, DiCarlo L. Realization of Microwave Quantum Circuits Using Hybrid Superconducting-Semiconducting Nanowire Josephson Elements. PHYSICAL REVIEW LETTERS 2015; 115:127002. [PMID: 26431010 DOI: 10.1103/physrevlett.115.127002] [Citation(s) in RCA: 53] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2015] [Indexed: 06/05/2023]
Abstract
We report the realization of quantum microwave circuits using hybrid superconductor-semiconductor Josephson elements comprised of InAs nanowires contacted by NbTiN. Capacitively shunted single elements behave as transmon circuits with electrically tunable transition frequencies. Two-element circuits also exhibit transmonlike behavior near zero applied flux but behave as flux qubits at half the flux quantum, where nonsinusoidal current-phase relations in the elements produce a double-well Josephson potential. These hybrid Josephson elements are promising for applications requiring microwave superconducting circuits operating in a magnetic field.
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Affiliation(s)
- G de Lange
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
| | - B van Heck
- Instituut-Lorentz, Leiden University, 2300 RA Leiden, The Netherlands
| | - A Bruno
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
| | - D J van Woerkom
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
| | - A Geresdi
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
| | - S R Plissard
- Department of Applied Physics, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands
| | - E P A M Bakkers
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
- Department of Applied Physics, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands
| | - A R Akhmerov
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
| | - L DiCarlo
- QuTech and Kavli Institute of Nanoscience, Delft University of Technology, 2600 GA Delft, The Netherlands
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18
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Abstract
An extensively pursued current direction of research in physics aims at the development of practical technologies that exploit the effects of quantum mechanics. As part of this ongoing effort, devices for quantum information processing, secure communication, and high-precision sensing are being implemented with diverse systems, ranging from photons, atoms, and spins to mesoscopic superconducting and nanomechanical structures. Their physical properties make some of these systems better suited than others for specific tasks; thus, photons are well suited for transmitting quantum information, weakly interacting spins can serve as long-lived quantum memories, and superconducting elements can rapidly process information encoded in their quantum states. A central goal of the envisaged quantum technologies is to develop devices that can simultaneously perform several of these tasks, namely, reliably store, process, and transmit quantum information. Hybrid quantum systems composed of different physical components with complementary functionalities may provide precisely such multitasking capabilities. This article reviews some of the driving theoretical ideas and first experimental realizations of hybrid quantum systems and the opportunities and challenges they present and offers a glance at the near- and long-term perspectives of this fascinating and rapidly expanding field.
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19
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Mowry A, Chen Y, Kubasek J, Friedman JR. Instrument for in-situ orientation of superconducting thin-film resonators used for electron-spin resonance experiments. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2015; 86:014702. [PMID: 25638103 DOI: 10.1063/1.4905176] [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
When used in electron-spin resonance measurements, superconducting thin-film resonators must be precisely oriented relative to the external magnetic field in order to prevent the trapping of magnetic flux and the associated degradation of resonator performance. We present a compact design solution for this problem that allows in-situ control of the orientation of the resonator at cryogenic temperatures. Tests of the apparatus show that when proper alignment is achieved, there is almost no hysteresis in the field dependence of the resonant frequency.
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Affiliation(s)
- Andrew Mowry
- Department of Physics and Astronomy, Amherst College, Amherst, Massachusetts 01002-5000, USA
| | - Yiming Chen
- Department of Physics and Astronomy, Amherst College, Amherst, Massachusetts 01002-5000, USA
| | - James Kubasek
- Department of Physics and Astronomy, Amherst College, Amherst, Massachusetts 01002-5000, USA
| | - Jonathan R Friedman
- Department of Physics and Astronomy, Amherst College, Amherst, Massachusetts 01002-5000, USA
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20
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Zhang X, Zou CL, Jiang L, Tang HX. Strongly coupled magnons and cavity microwave photons. PHYSICAL REVIEW LETTERS 2014; 113:156401. [PMID: 25375725 DOI: 10.1103/physrevlett.113.156401] [Citation(s) in RCA: 126] [Impact Index Per Article: 12.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/27/2014] [Indexed: 05/23/2023]
Abstract
We realize a cavity magnon-microwave photon system in which a magnetic dipole interaction mediates strong coupling between the collective motion of a large number of spins in a ferrimagnet and the microwave field in a three-dimensional cavity. By scaling down the cavity size and increasing the number of spins, an ultrastrong coupling regime is achieved with a cooperativity reaching 12,600. Interesting dynamic features including classical Rabi-like oscillation, magnetically induced transparency, and the Purcell effect are demonstrated in this highly versatile platform, highlighting its great potential for coherent information processing.
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Affiliation(s)
- Xufeng Zhang
- Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA
| | - Chang-Ling Zou
- Department of Applied Physics, Yale University, New Haven, Connecticut 06511, USA and Key Lab of Quantum Information, University of Science and Technology of China, Hefei 230026, Anhui, People's Republic of China
| | - Liang Jiang
- Department of Applied Physics, Yale University, New Haven, Connecticut 06511, USA
| | - Hong X Tang
- Department of Electrical Engineering, Yale University, New Haven, Connecticut 06511, USA
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21
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Gualco G, Anders J, Sienkiewicz A, Alberti S, Forró L, Boero G. Cryogenic single-chip electron spin resonance detector. JOURNAL OF MAGNETIC RESONANCE (SAN DIEGO, CALIF. : 1997) 2014; 247:96-103. [PMID: 25261743 DOI: 10.1016/j.jmr.2014.08.013] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/06/2014] [Revised: 08/12/2014] [Accepted: 08/25/2014] [Indexed: 06/03/2023]
Abstract
We report on the design and characterization of a single-chip electron spin resonance detector, operating at a frequency of about 20 GHz and in a temperature range extending at least from 300 K down to 4 K. The detector consists of an LC oscillator formed by a 200 μm diameter single turn aluminum planar coil, a metal-oxide-metal capacitor, and two metal-oxide-semiconductor field effect transistors used as negative resistance network. At 300 K, the oscillator has a frequency noise of 20 Hz/Hz(1/2) at 100 kHz offset from the 20 GHz carrier. At 4 K, the frequency noise is about 1 Hz/Hz(1/2) at 10 kHz offset. The spin sensitivity measured with a sample of DPPH is 10(8)spins/Hz(1/2) at 300 K and down to 10(6)spins/Hz(1/2) at 4 K.
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Affiliation(s)
- Gabriele Gualco
- Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Jens Anders
- Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Andrzej Sienkiewicz
- Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Stefano Alberti
- Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - László Forró
- Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Giovanni Boero
- Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
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22
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Tabuchi Y, Ishino S, Ishikawa T, Yamazaki R, Usami K, Nakamura Y. Hybridizing ferromagnetic magnons and microwave photons in the quantum limit. PHYSICAL REVIEW LETTERS 2014; 113:083603. [PMID: 25192098 DOI: 10.1103/physrevlett.113.083603] [Citation(s) in RCA: 114] [Impact Index Per Article: 11.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2014] [Indexed: 05/23/2023]
Abstract
We demonstrate large normal-mode splitting between a magnetostatic mode (the Kittel mode) in a ferromagnetic sphere of yttrium iron garnet and a microwave cavity mode. Strong coupling is achieved in the quantum regime where the average number of thermally or externally excited magnons and photons is less than one. We also confirm that the coupling strength is proportional to the square root of the number of spins. A nonmonotonic temperature dependence of the Kittel-mode linewidth is observed below 1 K and is attributed to the dissipation due to the coupling with a bath of two-level systems.
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Affiliation(s)
- Yutaka Tabuchi
- Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan
| | - Seiichiro Ishino
- Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan
| | - Toyofumi Ishikawa
- Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan
| | - Rekishu Yamazaki
- Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan
| | - Koji Usami
- Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan
| | - Yasunobu Nakamura
- Research Center for Advanced Science and Technology (RCAST), The University of Tokyo, Meguro-ku, Tokyo 153-8904, Japan and Center for Emergent Matter Science (CEMS), RIKEN, Wako, Saitama 351-0198, Japan
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23
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Zou LJ, Marcos D, Diehl S, Putz S, Schmiedmayer J, Majer J, Rabl P. Implementation of the Dicke lattice model in hybrid quantum system arrays. PHYSICAL REVIEW LETTERS 2014; 113:023603. [PMID: 25062180 DOI: 10.1103/physrevlett.113.023603] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2014] [Indexed: 06/03/2023]
Abstract
Generalized Dicke models can be implemented in hybrid quantum systems built from ensembles of nitrogen-vacancy (NV) centers in diamond coupled to superconducting microwave cavities. By engineering cavity assisted Raman transitions between two spin states of the NV defect, a fully tunable model for collective light-matter interactions in the ultrastrong coupling limit can be obtained. Our analysis of the resulting nonequilibrium phases for a single cavity and for coupled cavity arrays shows that different superradiant phase transitions can be observed using existing experimental technologies, even in the presence of large inhomogeneous broadening of the spin ensemble. The phase diagram of the Dicke lattice model displays distinct features induced by dissipation, which can serve as a genuine experimental signature for phase transitions in driven open quantum systems.
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Affiliation(s)
- L J Zou
- Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
| | - D Marcos
- Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria
| | - S Diehl
- Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria
| | - S Putz
- Vienna Center for Quantum Science and Technology, Atominstitut, Vienna University of Technology, Stadionallee 2, 1020 Vienna, Austria
| | - J Schmiedmayer
- Vienna Center for Quantum Science and Technology, Atominstitut, Vienna University of Technology, Stadionallee 2, 1020 Vienna, Austria
| | - J Majer
- Vienna Center for Quantum Science and Technology, Atominstitut, Vienna University of Technology, Stadionallee 2, 1020 Vienna, Austria
| | - P Rabl
- Vienna Center for Quantum Science and Technology, Atominstitut, Vienna University of Technology, Stadionallee 2, 1020 Vienna, Austria
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24
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Eddins AW, Beedle CC, Hendrickson DN, Friedman JR. Collective coupling of a macroscopic number of single-molecule magnets with a microwave cavity mode. PHYSICAL REVIEW LETTERS 2014; 112:120501. [PMID: 24724636 DOI: 10.1103/physrevlett.112.120501] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/22/2013] [Indexed: 06/03/2023]
Abstract
We report the observation of strong coupling of a macroscopic ensemble of ∼1016 Fe8 molecular nanomagnets to the resonant mode of a microwave cavity. We use millimeter-wave spectroscopy to measure the splitting of the system's resonant frequency induced by the coupling between the spins and the cavity mode. The magnitude of this splitting is found to scale with √N, where N is the number of collectively coupled spins. We control N by changing the system's temperature and, thereby, the populations of the relevant spin energy levels. Strong coupling is observed for two distinct transitions between spin energy states. Our results indicate that at low temperatures nearly all of the spins in the sample couple with the cavity's resonant mode even though there is substantial inhomogeneous broadening of the Fe8 spin resonances.
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Affiliation(s)
- A W Eddins
- Department of Physics, Amherst College, Amherst, Massachusetts 01002-5000, USA
| | - C C Beedle
- Department of Chemistry & Biochemistry, University of California at San Diego, La Jolla, California 92093, USA
| | - D N Hendrickson
- Department of Chemistry & Biochemistry, University of California at San Diego, La Jolla, California 92093, USA
| | - Jonathan R Friedman
- Department of Physics, Amherst College, Amherst, Massachusetts 01002-5000, USA
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25
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Hafner D, Dressel M, Scheffler M. Surface-resistance measurements using superconducting stripline resonators. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2014; 85:014702. [PMID: 24517793 DOI: 10.1063/1.4856475] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We present a method to measure the absolute surface resistance of conductive samples at a set of GHz frequencies with superconducting lead stripline resonators at temperatures 1-6 K. The stripline structure can easily be applied for bulk samples and allows direct calculation of the surface resistance without the requirement of additional calibration measurements or sample reference points. We further describe a correction method to reduce experimental background on high-Q resonance modes by exploiting TEM-properties of the external cabling. We then show applications of this method to the reference materials gold, tantalum, and tin, which include the anomalous skin effect and conventional superconductivity. Furthermore, we extract the complex optical conductivity for an all-lead stripline resonator to find a coherence peak and the superconducting gap of lead.
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Affiliation(s)
- Daniel Hafner
- 1. Physikalisches Institut, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - Martin Dressel
- 1. Physikalisches Institut, Universität Stuttgart, D-70550 Stuttgart, Germany
| | - Marc Scheffler
- 1. Physikalisches Institut, Universität Stuttgart, D-70550 Stuttgart, Germany
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26
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Julsgaard B, Grezes C, Bertet P, Mølmer K. Quantum memory for microwave photons in an inhomogeneously broadened spin ensemble. PHYSICAL REVIEW LETTERS 2013; 110:250503. [PMID: 23829721 DOI: 10.1103/physrevlett.110.250503] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2013] [Indexed: 06/02/2023]
Abstract
We propose a multimode quantum memory protocol able to store the quantum state of the field in a microwave resonator into an ensemble of electronic spins. The stored information is protected against inhomogeneous broadening of the spin ensemble by spin-echo techniques resulting in memory times orders of magnitude longer than previously achieved. By calculating the evolution of the first and second moments of the spin-cavity system variables for current experimental parameters, we show that a memory based on nitrogen vacancy center spins in diamond can store a qubit encoded on the |0> and |1> Fock states of the field with 80% fidelity and outperform classical memory strategies for storage times ≤69 μs.
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Affiliation(s)
- Brian Julsgaard
- Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, DK-8000 Aarhus C, Denmark.
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