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Lowinski J, Heller L, Hoffet F, Padrón-Brito A, Theophilo K, de Riedmatten H. Strongly Nonlinear Interaction between Nonclassical Light and a Blockaded Rydberg Atomic Ensemble. PHYSICAL REVIEW LETTERS 2024; 132:053001. [PMID: 38364169 DOI: 10.1103/physrevlett.132.053001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/06/2023] [Accepted: 01/08/2024] [Indexed: 02/18/2024]
Abstract
We investigate the interaction between nonclassical light with a tunable multiphoton component and a highly nonlinear medium based on cold Rydberg atoms. The nonclassical field emitted by a DLCZ quantum memory is stored using Rydberg electromagnetically induced transparency, experiencing strong nonlinear response due to the dipole blockade. We show that the storage efficiency in the Rydberg ensemble decreases as a function of the multiphoton strength of the input field, as a result of the nonlinearity. We also show that the autocorrelation function g^{(2)}(0) of the retrieved field after storage in the Rydberg state is considerably reduced, leading to the first demonstration of single photon filtering with nonclassical input light. Finally, we develop a simple simulation that allows us to model the effect of our medium on the input state. This work is a step towards matter-mediated photon-photon interactions with nonclassical light.
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Affiliation(s)
- Jan Lowinski
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Spain
| | - Lukas Heller
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Spain
| | - Félix Hoffet
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Spain
| | | | - Klara Theophilo
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Spain
| | - Hugues de Riedmatten
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Spain
- ICREA-Institució Catalana de Recerca i Estudis Avançats, 08015 Barcelona, Spain
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2
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Fan J, Zhang H, Jiao Y, Li C, Bai J, Wu J, Zhao J, Jia S. Manipulation of single stored-photon with microwave field based on Rydberg polariton. OPTICS EXPRESS 2023; 31:20641-20650. [PMID: 37381183 DOI: 10.1364/oe.487471] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/13/2023] [Accepted: 05/25/2023] [Indexed: 06/30/2023]
Abstract
We demonstrate a coherent microwave manipulation of a single optical photon based on a single Rydberg excitation in an atomic ensemble. Due to the strong nonlinearities in a Rydberg blockade region, a single photon can be stored in the formation of Rydberg polariton using electromagnetically induced transparency (EIT). The manipulation of the stored single photon is performed by applying a microwave field that resonantly couples the nS1/2 and nP3/2, while the coherent readout is performed by mapping the excitation into a single photon. We achieve a single photon source with g(2)(0) = 0.29 ± 0.08 at 80S1/2 without applying microwave fields. By implementing the microwave field during the storage time and retrieval process, we show the Rabi oscillation and modulation of stored photons that can be controlled to retrieve early or late. Rapid modulation frequencies up to 50 MHz can be obtained. Our experimental observations can be well explained via numerical simulations based on an improved superatom model accounting for the dipole-dipole interactions in a Rydberg EIT medium. Our work provides a way to manipulate the stored photons by employing the microwave field, which is significant for developing quantum technologies.
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3
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Khazali M. All-optical quantum information processing via a single-step Rydberg blockade gate. OPTICS EXPRESS 2023; 31:13970-13980. [PMID: 37157271 DOI: 10.1364/oe.481256] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/10/2023]
Abstract
One of the critical elements in the realization of the quantum internet are deterministic two-photon gates. This CZ photonic gate also completes a set of universal gates for all-optical quantum information processing. This article discusses an approach to realize a high fidelity CZ photonic gate by storing both control and target photons within an atomic ensemble using non-Rydberg electromagnetically induced transparency (EIT) followed by a fast, single-step Rydberg excitation with global lasers. The proposed scheme operates by relative intensity modulation of two lasers used in Rydberg excitation. Circumventing the conventional π-gap-π schemes, the proposed operation features continuous laser protection of the Rydberg atoms from the environment noise. The complete spatial overlap of stored photons inside the blockade radius optimizes the optical depth and simplifies the experiment. The coherent operation here is performed in the region that was dissipative in the previous Rydberg EIT schemes. Encountering the main imperfection sources, i.e., the spontaneous emission of the Rydberg and intermediate levels, population rotation errors, Doppler broadening of the transition lines, storage/retrieval efficiency, and atomic thermal motion induced decoherence, this article concludes that with realistic experimental parameters 99.7% fidelity is achievable.
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4
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Dynamical Collective Excitations and Entanglement of Two Strongly Correlated Rydberg Superatoms. PHOTONICS 2022. [DOI: 10.3390/photonics9040242] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
Based on the dipole blockade effect and with the aid of the superatom (SA) model, we propose a scheme to investigate the correlated evolution of two Rydberg sub-superatoms (SSAs), formed by two spatially separated atomic Rydberg sub-ensembles but in the same blockade region. Starting from the pure separable states, we investigate the in-phase or anti-phase correlated dynamics and explore how two Rydberg SSAs entangle with each other mediated by a single Rydberg excitation. Starting from the entangled states, we discuss the robustness of the system against decoherence induced by the dephasing rate. Our results show that both the correlated evolution of two Rydberg SSAs and their collective-state entanglement are usually sensitive to the number of each Rydberg SSA. This allows us to coherently manipulate the Rydberg ensemble over long distances from the single-quantum level to the mesoscopic level by changing the number of atoms. Furthermore, the method for dividing an SA into two SSAs and obtaining their spin operators without any approximation can be readily generalized to the case of many SSAs. It may have potential promising applications in quantum information processing and provide an attractive platform to study the quantum-classical correspondence, many-body physics and so on.
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5
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Spong NLR, Jiao Y, Hughes ODW, Weatherill KJ, Lesanovsky I, Adams CS. Collectively Encoded Rydberg Qubit. PHYSICAL REVIEW LETTERS 2021; 127:063604. [PMID: 34420315 DOI: 10.1103/physrevlett.127.063604] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/24/2020] [Accepted: 06/28/2021] [Indexed: 06/13/2023]
Abstract
We demonstrate a collectively encoded qubit based on a single Rydberg excitation stored in an ensemble of N entangled atoms. Qubit rotations are performed by applying microwave fields that drive excitations between Rydberg states. Coherent readout is performed by mapping the excitation into a single photon. Ramsey interferometry is used to probe the coherence of the qubit, as well as to test the robustness to external perturbations. We show that qubit coherence is preserved even as we lose atoms from the polariton mode, preserving Ramsey fringe visibility. We show that dephasing due to electric field noise scales as the fourth power of field amplitude. These results show that robust quantum information processing can be achieved via collective encoding using Rydberg polaritons, and hence this system could provide an attractive alternative coding strategy for quantum computation and networking.
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Affiliation(s)
- Nicholas L R Spong
- Department of Physics, Joint Quantum Centre Durham-Newcastle, Rochester Building, Durham, England DH1 3LE, United Kingdom
| | - Yuechun Jiao
- Department of Physics, Joint Quantum Centre Durham-Newcastle, Rochester Building, Durham, England DH1 3LE, United Kingdom
- State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China
| | - Oliver D W Hughes
- Department of Physics, Joint Quantum Centre Durham-Newcastle, Rochester Building, Durham, England DH1 3LE, United Kingdom
| | - Kevin J Weatherill
- Department of Physics, Joint Quantum Centre Durham-Newcastle, Rochester Building, Durham, England DH1 3LE, United Kingdom
| | - Igor Lesanovsky
- Institut für Theoretische Physik, Auf der Morgenstelle 14, 72076 Tübingen, Germany
- School of Physics and Astronomy and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, The University of Nottingham, Nottingham, England NG7 2RD, United Kingdom
| | - Charles S Adams
- Department of Physics, Joint Quantum Centre Durham-Newcastle, Rochester Building, Durham, England DH1 3LE, United Kingdom
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6
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Zhou YL. Light propagation in a three-dimensional Rydberg gas with a nonlocal optical response. OPTICS EXPRESS 2021; 29:15300-15308. [PMID: 33985232 DOI: 10.1364/oe.425208] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2021] [Accepted: 04/26/2021] [Indexed: 06/12/2023]
Abstract
We theoretically investigate the linear susceptibility and propagation of light in a three-dimensional (3-D) Rydberg gas under conditions of electromagnetically induced transparency. Rydberg atoms with two relevant S states are coupled via exchange interactions. When the gas is initially prepared in an entangled spin-wave state, this coupling induces a strong, nonlocal susceptibility whereby the photon field at one point of the medium acts as a source at a distant position. The nonlocal propagation occurs not only in the propagation direction but also in the paraxial direction. We discuss the absorption features and numerically simulate the 3-D propagation of probe laser light. Combined with the long-range exchange interaction, we show that the 3-D Rydberg gas is an ideal medium for studying nonlocal wave phenomena, in which the strength, range, and sign of the nonlocal interaction kernel can be widely tuned.
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7
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Bai Z, Adams CS, Huang G, Li W. Self-Induced Transparency in Warm and Strongly Interacting Rydberg Gases. PHYSICAL REVIEW LETTERS 2020; 125:263605. [PMID: 33449776 DOI: 10.1103/physrevlett.125.263605] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2020] [Accepted: 12/01/2020] [Indexed: 06/12/2023]
Abstract
We study dispersive optical nonlinearities of short pulses propagating in high number density, warm atomic vapors where the laser resonantly excites atoms to Rydberg P states via a single-photon transition. Three different regimes of the light-atom interaction, dominated by either Doppler broadening, Rydberg atom interactions, or decay due to thermal collisions between ground state and Rydberg atoms, are found. We show that using fast Rabi flopping and strong Rydberg atom interactions, both in the order of gigahertz, can overcome the Doppler effect as well as collisional decay, leading to a sizable dispersive optical nonlinearity on nanosecond timescales. In this regime, self-induced transparency (SIT) emerges when areas of the nanosecond pulse are determined primarily by the Rydberg atom interaction, rather than the area theorem of interaction-free SIT. We identify, both numerically and analytically, the condition to realize Rydberg SIT. Our study contributes to efforts in achieving quantum information processing using glass cell technologies.
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Affiliation(s)
- Zhengyang Bai
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
- School of Physics and Astronomy, and Centre for the Mathematics and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham, Nottingham, NG7 2RD, United Kingdom
| | - Charles S Adams
- Joint Quantum Centre (JQC) DurhamNewcastle, Department of Physics, Durham University, South Road, Durham, DH1 3LE, United Kingdom
| | - Guoxiang Huang
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Weibin Li
- School of Physics and Astronomy, and Centre for the Mathematics and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham, Nottingham, NG7 2RD, United Kingdom
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8
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Yin HD, Li XX, Wang GC, Shao XQ. One-step implementation of Toffoli gate for neutral atoms based on unconventional Rydberg pumping. OPTICS EXPRESS 2020; 28:35576-35587. [PMID: 33379670 DOI: 10.1364/oe.410158] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2020] [Accepted: 10/29/2020] [Indexed: 06/12/2023]
Abstract
Compared with the idea of universal quantum computation, a direct synthesis of a multiqubit logic gate can greatly improve the efficiency of quantum information processing tasks. Here we propose an efficient scheme to implement a three-qubit controlled-not (Toffoli) gate of neutral atoms based on unconventional Rydberg pumping. By adjusting the strengths of Rabi frequencies of driving fields, the Toffoli gate can be achieved within one step, which is also insensitive to the fluctuation of the Rydberg-Rydberg interaction. Considering different atom alignments, we can obtain a high-fidelity Toffoli gate at the same operation time ∼7 μs. In addition, our scheme can be further extended to the four-qubit case without altering the operating time.
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9
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Jiao Y, Spong NLR, Hughes ODW, So C, Ilieva T, Weatherill KJ, Adams CS. Single-photon stored-light Ramsey interferometry using Rydberg polaritons. OPTICS LETTERS 2020; 45:5888-5891. [PMID: 33057311 DOI: 10.1364/ol.405143] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2020] [Accepted: 09/18/2020] [Indexed: 06/11/2023]
Abstract
We demonstrate a single-photon stored-light interferometer, where a photon is stored in a laser-cooled atomic ensemble in the form of a Rydberg polariton with a spatial extent of 10×1×1µm3. The photon is subject to a Ramsey sequence, i.e., "split" into a superposition of two paths. After a delay of up to 450 ns, the two paths are recombined to give an output dependent on their relative phase. The superposition time of 450 ns is equivalent to a free-space propagation distance of 135 m. We show that the interferometer fringes are sensitive to external fields and suggest that stored-light interferometry could be useful for localized sensing applications.
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10
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Yan D, Wang B, Bai Z, Li W. Electromagnetically induced transparency of interacting Rydberg atoms with two-body dephasing. OPTICS EXPRESS 2020; 28:9677-9689. [PMID: 32225570 DOI: 10.1364/oe.389247] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2020] [Accepted: 03/12/2020] [Indexed: 06/10/2023]
Abstract
We study electromagnetically induced transparency in a three-level ladder type configuration in ultracold atomic gases, where the upper level is an electronically highly excited Rydberg state. An effective distance dependent two-body dephasing can be induced in a regime where dipole-dipoles interaction couple nearly degenerate Rydberg pair states. We show that strong two-body dephasing can enhance the excitation blockade of neighboring Rydberg atoms. Due to the dissipative blockade, transmission of the probe light is reduced drastically by the two-body dephasing in the transparent window. The reduction of transmission is accompanied by a strong photon-photon anti-bunching. Around the Autler-Townes doublets, the photon bunching is amplified by the two-body dephasing, while transmission is largely unaffected. Besides relevant to the ongoing Rydberg atom studies, our study moreover provides a setting to explore and understand two-body dephasing dynamics in many-body systems.
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11
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Khazali M, Murray CR, Pohl T. Polariton Exchange Interactions in Multichannel Optical Networks. PHYSICAL REVIEW LETTERS 2019; 123:113605. [PMID: 31573258 DOI: 10.1103/physrevlett.123.113605] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/04/2019] [Indexed: 06/10/2023]
Abstract
We examine the dynamics of Rydberg polaritons with dipolar interactions that propagate in multiple spatial modes. The dipolar excitation exchange between different Rydberg states mediates an effective exchange between polaritons that enables photons to hop across different spatial channels. Remarkably, the efficiency of this photon exchange process can increase with the channel distance and becomes optimal at a finite rail separation. Based on this mechanism, we design a simple photonic network that realizes a two photon quantum gate with a robust π phase, protected by the symmetries of the underlying photon interaction and the geometry of the network. These capabilities expand the scope of Rydberg electromagnetically induced transparency towards multidimensional geometries for nonlinear optical networks and explorations of photonic many-body physics.
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Affiliation(s)
| | - Callum R Murray
- Department of Physics and Astronomy, Aarhus University, Aarhus 8000, Denmark
| | - Thomas Pohl
- Department of Physics and Astronomy, Aarhus University, Aarhus 8000, Denmark
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12
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Haenel R, Grant E. Coupled rate-equation hydrodynamic simulation of a Rydberg gas Gaussian ellipsoid: Classical avalanche and evolution to molecular plasma. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.06.014] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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13
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Lahad O, Firstenberg O. Induced Cavities for Photonic Quantum Gates. PHYSICAL REVIEW LETTERS 2017; 119:113601. [PMID: 28949230 DOI: 10.1103/physrevlett.119.113601] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/22/2017] [Indexed: 06/07/2023]
Abstract
Effective cavities can be optically induced in atomic media and employed to strengthen optical nonlinearities. Here we study the integration of induced cavities with a photonic quantum gate based on Rydberg blockade. Accounting for loss in the atomic medium, we calculate the corresponding finesse and gate infidelity. Our analysis shows that the conventional limits imposed by the blockade optical depth are mitigated by the induced cavity in long media, thus establishing the total optical depth of the medium as a complementary resource.
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Affiliation(s)
- Ohr Lahad
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
| | - Ofer Firstenberg
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
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14
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Epple G, Joly NY, Euser TG, St J Russell P, Löw R. Effect of stray fields on Rydberg states in hollow-core PCF probed by higher-order modes. OPTICS LETTERS 2017; 42:3271-3274. [PMID: 28957081 DOI: 10.1364/ol.42.003271] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/20/2017] [Accepted: 07/20/2017] [Indexed: 06/07/2023]
Abstract
The spectroscopy of atomic gases confined in hollow-core photonic crystal fiber (HC-PCF) provides optimal atom-light coupling beyond the diffraction limit, which is desirable for various applications such as sensing, referencing, and nonlinear optics. Recently, coherent spectroscopy was carried out on highly excited Rydberg states at room temperature in a gas-filled HC-PCF. The large polarizability of the Rydberg states made it possible to detect weak electric fields inside the fiber. In this Letter, we show that by combining highly excited Rydberg states with higher-order optical modes, we can gain insight into the distribution and underlying effects of these electric fields. Comparisons between experimental findings and simulations indicate that the fields are caused by the dipole moments of atoms adsorbed on the hollow-core wall. Knowing the origin of the electric fields is an important step towards suppressing them in future HC-PCF experiments. Furthermore, a better understanding of the influence of adatoms will be advantageous for optimizing electric-field-sensitive experiments carried out in the vicinity of nearby surfaces.
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15
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Zeuthen E, Gullans MJ, Maghrebi MF, Gorshkov AV. Correlated Photon Dynamics in Dissipative Rydberg Media. PHYSICAL REVIEW LETTERS 2017; 119:043602. [PMID: 29341760 PMCID: PMC6475453 DOI: 10.1103/physrevlett.119.043602] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2016] [Indexed: 06/07/2023]
Abstract
Rydberg blockade physics in optically dense atomic media under the conditions of electromagnetically induced transparency (EIT) leads to strong dissipative interactions between single photons. We introduce a new approach to analyzing this challenging many-body problem in the limit of a large optical depth per blockade radius. In our approach, we separate the single-polariton EIT physics from Rydberg-Rydberg interactions in a serialized manner while using a hard-sphere model for the latter, thus capturing the dualistic particle-wave nature of light as it manifests itself in dissipative Rydberg-EIT media. Using this approach, we analyze the saturation behavior of the transmission through one-dimensional Rydberg-EIT media in the regime of nonperturbative dissipative interactions relevant to current experiments. Our model is able to capture the many-body dynamics of bright, coherent pulses through these strongly interacting media. We compare our model with available experimental data in this regime and find good agreement. We also analyze a scheme for generating regular trains of single photons from continuous-wave input and derive its scaling behavior in the presence of imperfect single-photon EIT.
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Affiliation(s)
- Emil Zeuthen
- Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark
- Institute for Theoretical Physics and Institute for Gravitational Physics, Albert Einstein Institute, Leibniz Universität Hannover, Callinstraβe 38, 30167 Hannover, Germany
| | - Michael J. Gullans
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park, Maryland 20742, USA
| | - Mohammad F. Maghrebi
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park, Maryland 20742, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Alexey V. Gorshkov
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, National Institute of Standards and Technology and University of Maryland, College Park, Maryland 20742, USA
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16
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Signoles A, Dietsche EK, Facon A, Grosso D, Haroche S, Raimond JM, Brune M, Gleyzes S. Coherent Transfer between Low-Angular-Momentum and Circular Rydberg States. PHYSICAL REVIEW LETTERS 2017; 118:253603. [PMID: 28696734 DOI: 10.1103/physrevlett.118.253603] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2017] [Indexed: 06/07/2023]
Abstract
We realize a coherent transfer between a laser-accessible low-angular-momentum Rydberg state and the circular Rydberg level with maximal angular momentum. It is induced by a radio frequency field with a high-purity σ^{+} polarization resonant on Stark transitions inside the hydrogenic Rydberg manifold. We observe over a few microseconds more than 20 coherent Rabi oscillations between the initial Rydberg state and the circular level. We characterize these many-Rydberg-level oscillations and find them in perfect agreement with a simple model. This coherent transfer opens the way to hybrid quantum gates bridging the gap between optical communication and quantum information manipulations with microwave cavity and circuit quantum electrodynamics.
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Affiliation(s)
- A Signoles
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - E K Dietsche
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - A Facon
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - D Grosso
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - S Haroche
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - J M Raimond
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - M Brune
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
| | - S Gleyzes
- Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL Research University, UPMC-Sorbonne Universités, 11, place Marcelin Berthelot, 75231 Paris Cedex 05, France
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17
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Kumar S, Fan H, Kübler H, Jahangiri AJ, Shaffer JP. Rydberg-atom based radio-frequency electrometry using frequency modulation spectroscopy in room temperature vapor cells. OPTICS EXPRESS 2017; 25:8625-8637. [PMID: 28437940 DOI: 10.1364/oe.25.008625] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Rydberg atom-based electrometry enables traceable electric field measurements with high sensitivity over a large frequency range, from gigahertz to terahertz. Such measurements are particularly useful for the calibration of radio frequency and terahertz devices, as well as other applications like near field imaging of electric fields. We utilize frequency modulated spectroscopy with active control of residual amplitude modulation to improve the signal to noise ratio of the optical readout of Rydberg atom-based radio frequency electrometry. Matched filtering of the signal is also implemented. Although we have reached similarly, high sensitivity with other read-out methods, frequency modulated spectroscopy is advantageous because it is well-suited for building a compact, portable sensor. In the current experiment, ∼3 µV cm-1 Hz-1/2 sensitivity is achieved and is found to be photon shot noise limited.
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18
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Distante E, Farrera P, Padrón-Brito A, Paredes-Barato D, Heinze G, de Riedmatten H. Storing single photons emitted by a quantum memory on a highly excited Rydberg state. Nat Commun 2017; 8:14072. [PMID: 28102203 PMCID: PMC5253638 DOI: 10.1038/ncomms14072] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2016] [Accepted: 11/18/2016] [Indexed: 11/15/2022] Open
Abstract
Strong interaction between two single photons is a long standing and important goal in quantum photonics. This would enable a new regime of nonlinear optics and unlock several applications in quantum information science, including photonic quantum gates and deterministic Bell-state measurements. In the context of quantum networks, it would be important to achieve interactions between single photons from independent photon pairs storable in quantum memories. So far, most experiments showing nonlinearities at the single-photon level have used weak classical input light. Here we demonstrate the storage and retrieval of a paired single photon emitted by an ensemble quantum memory in a strongly nonlinear medium based on highly excited Rydberg atoms. We show that nonclassical correlations between the two photons persist after retrieval from the Rydberg ensemble. Our result is an important step towards deterministic photon-photon interactions, and may enable deterministic Bell-state measurements with multimode quantum memories.
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Affiliation(s)
- Emanuele Distante
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, 08860 Barcelona, Spain
| | - Pau Farrera
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, 08860 Barcelona, Spain
| | - Auxiliadora Padrón-Brito
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, 08860 Barcelona, Spain
| | - David Paredes-Barato
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, 08860 Barcelona, Spain
| | - Georg Heinze
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, 08860 Barcelona, Spain
| | - Hugues de Riedmatten
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, 08860 Barcelona, Spain
- ICREA-Institució Catalana de Recerca i Estudis Avançats, 08015 Barcelona, Spain
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Heshami K, England DG, Humphreys PC, Bustard PJ, Acosta VM, Nunn J, Sussman BJ. Quantum memories: emerging applications and recent advances. JOURNAL OF MODERN OPTICS 2016; 63:2005-2028. [PMID: 27695198 PMCID: PMC5020357 DOI: 10.1080/09500340.2016.1148212] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/06/2015] [Accepted: 12/27/2015] [Indexed: 05/20/2023]
Abstract
Quantum light-matter interfaces are at the heart of photonic quantum technologies. Quantum memories for photons, where non-classical states of photons are mapped onto stationary matter states and preserved for subsequent retrieval, are technical realizations enabled by exquisite control over interactions between light and matter. The ability of quantum memories to synchronize probabilistic events makes them a key component in quantum repeaters and quantum computation based on linear optics. This critical feature has motivated many groups to dedicate theoretical and experimental research to develop quantum memory devices. In recent years, exciting new applications, and more advanced developments of quantum memories, have proliferated. In this review, we outline some of the emerging applications of quantum memories in optical signal processing, quantum computation and non-linear optics. We review recent experimental and theoretical developments, and their impacts on more advanced photonic quantum technologies based on quantum memories.
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Affiliation(s)
| | | | | | | | - Victor M. Acosta
- Department of Physics and Astronomy, University of New Mexico, Center for High Technology Materials, Albuquerque, NM, USA
| | - Joshua Nunn
- Clarendon Laboratory, University of Oxford, Oxford, UK
| | - Benjamin J. Sussman
- National Research Council of Canada, Ottawa, Canada
- Department of Physics, University of Ottawa, Ottawa, Canada
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20
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Distante E, Padrón-Brito A, Cristiani M, Paredes-Barato D, de Riedmatten H. Storage Enhanced Nonlinearities in a Cold Atomic Rydberg Ensemble. PHYSICAL REVIEW LETTERS 2016; 117:113001. [PMID: 27661683 DOI: 10.1103/physrevlett.117.113001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/19/2016] [Indexed: 06/06/2023]
Abstract
The combination of electromagnetically induced transparency with the nonlinear interaction between Rydberg atoms provides an effective interaction between photons. In this Letter, we investigate the storage of optical pulses as collective Rydberg atomic excitations in a cold atomic ensemble. By measuring the dynamics of the stored Rydberg polaritons, we experimentally demonstrate that storing a probe pulse as Rydberg polaritons strongly enhances the Rydberg mediated interaction compared to the slow propagation case. We show that the process is characterized by two time scales. At short storage times, we observe a strong enhancement of the interaction due to the reduction of the Rydberg polariton group velocity down to 0. For longer storage times, we observe a further, weaker enhancement dominated by Rydberg induced dephasing of the multiparticle components of the state. In this regime, we observe a nonlinear dependence of the Rydberg polariton coherence time with the input photon number. Our results have direct consequences in Rydberg quantum optics and may enable the test of new theories of strongly interacting Rydberg systems.
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Affiliation(s)
- E Distante
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
| | - A Padrón-Brito
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
| | - M Cristiani
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
| | - D Paredes-Barato
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
| | - H de Riedmatten
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
- ICREA-Institució Catalana de Recerca i Estudis Avançats, 08015 Barcelona, Spain
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21
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Tiarks D, Schmidt S, Rempe G, Dürr S. Optical π phase shift created with a single-photon pulse. SCIENCE ADVANCES 2016; 2:e1600036. [PMID: 27386511 PMCID: PMC4928902 DOI: 10.1126/sciadv.1600036] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2016] [Accepted: 03/30/2016] [Indexed: 05/15/2023]
Abstract
A deterministic photon-photon quantum logic gate is a long-standing goal. Building such a gate becomes possible if a light pulse containing only one photon imprints a phase shift of π onto another light field. We experimentally demonstrate the generation of such a π phase shift with a single-photon pulse. A first light pulse containing less than one photon on average is stored in an atomic gas. Rydberg blockade combined with electromagnetically induced transparency creates a phase shift for a second light pulse, which propagates through the medium. We measure the π phase shift of the second pulse when we postselect the data upon the detection of a retrieved photon from the first pulse. This demonstrates a crucial step toward a photon-photon gate and offers a variety of applications in the field of quantum information processing.
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22
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Bettles RJ, Gardiner SA, Adams CS. Enhanced Optical Cross Section via Collective Coupling of Atomic Dipoles in a 2D Array. PHYSICAL REVIEW LETTERS 2016; 116:103602. [PMID: 27015480 DOI: 10.1103/physrevlett.116.103602] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/27/2015] [Indexed: 06/05/2023]
Abstract
Enhancing the optical cross section is an enticing goal in light-matter interactions, due to its fundamental role in quantum and nonlinear optics. Here, we show how dipolar interactions can suppress off-axis scattering in a two-dimensional atomic array, leading to a subradiant collective mode where the optical cross section is enhanced by almost an order of magnitude. As a consequence, it is possible to attain an optical depth which implies high-fidelity extinction, from a monolayer. Using realistic experimental parameters, we also model how lattice vacancies and the atomic trapping depth affect the transmission, concluding that such high extinction should be possible, using current experimental techniques.
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Affiliation(s)
- Robert J Bettles
- Department of Physics, Joint Quantum Center (JQC) Durham-Newcastle, Durham University, South Road, Durham DH1 3LE, United Kingdom
| | - Simon A Gardiner
- Department of Physics, Joint Quantum Center (JQC) Durham-Newcastle, Durham University, South Road, Durham DH1 3LE, United Kingdom
| | - Charles S Adams
- Department of Physics, Joint Quantum Center (JQC) Durham-Newcastle, Durham University, South Road, Durham DH1 3LE, United Kingdom
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23
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Maghrebi MF, Gullans MJ, Bienias P, Choi S, Martin I, Firstenberg O, Lukin MD, Büchler HP, Gorshkov AV. Coulomb Bound States of Strongly Interacting Photons. PHYSICAL REVIEW LETTERS 2015; 115:123601. [PMID: 26430994 DOI: 10.1103/physrevlett.115.123601] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/14/2015] [Indexed: 06/05/2023]
Abstract
We show that two photons coupled to Rydberg states via electromagnetically induced transparency can interact via an effective Coulomb potential. This interaction gives rise to a continuum of two-body bound states. Within the continuum, metastable bound states are distinguished in analogy with quasibound states tunneling through a potential barrier. We find multiple branches of metastable bound states whose energy spectrum is governed by the Coulomb potential, thus obtaining a photonic analogue of the hydrogen atom. Under certain conditions, the wave function resembles that of a diatomic molecule in which the two polaritons are separated by a finite "bond length." These states propagate with a negative group velocity in the medium, allowing for a simple preparation and detection scheme, before they slowly decay to pairs of bound Rydberg atoms.
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Affiliation(s)
- M F Maghrebi
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA
| | - M J Gullans
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA
| | - P Bienias
- Institute for Theoretical Physics III, University of Stuttgart, 70550 Stuttgart, Germany
| | - S Choi
- Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
| | - I Martin
- Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - O Firstenberg
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
| | - M D Lukin
- Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
| | - H P Büchler
- Institute for Theoretical Physics III, University of Stuttgart, 70550 Stuttgart, Germany
| | - A V Gorshkov
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA
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Ebert M, Kwon M, Walker TG, Saffman M. Coherence and Rydberg Blockade of Atomic Ensemble Qubits. PHYSICAL REVIEW LETTERS 2015; 115:093601. [PMID: 26371650 DOI: 10.1103/physrevlett.115.093601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/16/2015] [Indexed: 06/05/2023]
Abstract
We demonstrate |W⟩ state encoding of multiatom ensemble qubits. Using optically trapped Rb atoms, the T_{2} coherence time is 2.6(3) ms for N[over ¯]=7.6 atoms and scales approximately inversely with the number of atoms. Strong Rydberg blockade between two ensemble qubits is demonstrated with a fidelity of 0.89(1), and with a fidelity of ∼1.0 when postselected on a control ensemble excitation. These results are a significant step towards deterministic entanglement of atomic ensembles.
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Affiliation(s)
- M Ebert
- Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706, USA
| | - M Kwon
- Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706, USA
| | - T G Walker
- Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706, USA
| | - M Saffman
- Department of Physics, University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706, USA
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Moore KR, Anderson SE, Raithel G. Forbidden atomic transitions driven by an intensity-modulated laser trap. Nat Commun 2015; 6:6090. [PMID: 25600089 DOI: 10.1038/ncomms7090] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/14/2014] [Accepted: 12/11/2014] [Indexed: 11/09/2022] Open
Abstract
Spectroscopy is an essential tool in understanding and manipulating quantum systems, such as atoms and molecules. The model describing spectroscopy includes the multipole-field interaction, which leads to established spectroscopic selection rules, and an interaction that is quadratic in the field, which is not often employed. However, spectroscopy using the quadratic (ponderomotive) interaction promises two significant advantages over spectroscopy using the multipole-field interaction: flexible transition rules and vastly improved spatial addressability of the quantum system. Here we demonstrate ponderomotive spectroscopy by using optical-lattice-trapped Rydberg atoms, pulsating the lattice light and driving a microwave atomic transition that would otherwise be forbidden by established spectroscopic selection rules. This ability to measure frequencies of previously inaccessible transitions makes possible improved determinations of atomic characteristics and constants underlying physics. The spatial resolution of ponderomotive spectroscopy is orders of magnitude better than the transition frequency would suggest, promising single-site addressability in dense particle arrays for quantum computing applications.
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Affiliation(s)
- Kaitlin R Moore
- Department of Physics and Program in Applied Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Sarah E Anderson
- Department of Physics and Program in Applied Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Georg Raithel
- Department of Physics and Program in Applied Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
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