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Kocharovsky VV, Kocharovsky VV, Shannon WD, Tarasov SV. Towards the Simplest Model of Quantum Supremacy: Atomic Boson Sampling in a Box Trap. ENTROPY (BASEL, SWITZERLAND) 2023; 25:1584. [PMID: 38136464 PMCID: PMC10743315 DOI: 10.3390/e25121584] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2023] [Accepted: 11/21/2023] [Indexed: 12/24/2023]
Abstract
We describe boson sampling of interacting atoms from the noncondensed fraction of Bose-Einstein-condensed (BEC) gas confined in a box trap as a new platform for studying computational ♯P-hardness and quantum supremacy of many-body systems. We calculate the characteristic function and statistics of atom numbers via the newly found Hafnian master theorem. Using Bloch-Messiah reduction, we find that interatomic interactions give rise to two equally important entities-eigen-squeeze modes and eigen-energy quasiparticles-whose interplay with sampling atom states determines the behavior of the BEC gas. We infer that two necessary ingredients of ♯P-hardness, squeezing and interference, are self-generated in the gas and, contrary to Gaussian boson sampling in linear interferometers, external sources of squeezed bosons are not required.
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Affiliation(s)
- Vitaly V. Kocharovsky
- Department of Physics and Astronomy, Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843, USA
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Tarasov S, Shannon W, Kocharovsky V, Kocharovsky V. Multi-Qubit Bose-Einstein Condensate Trap for Atomic Boson Sampling. ENTROPY (BASEL, SWITZERLAND) 2022; 24:1771. [PMID: 36554176 PMCID: PMC9777779 DOI: 10.3390/e24121771] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/29/2022] [Revised: 11/27/2022] [Accepted: 11/29/2022] [Indexed: 06/17/2023]
Abstract
We propose a multi-qubit Bose-Einstein-condensate (BEC) trap as a platform for studies of quantum statistical phenomena in many-body interacting systems. In particular, it could facilitate testing atomic boson sampling of the excited-state occupations and its quantum advantage over classical computing in a full, controllable and clear way. Contrary to a linear interferometer enabling Gaussian boson sampling of non-interacting non-equilibrium photons, the BEC trap platform pertains to an interacting equilibrium many-body system of atoms. We discuss a basic model and the main features of such a multi-qubit BEC trap.
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Affiliation(s)
- Sergey Tarasov
- Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, Russia
| | - William Shannon
- Department of Physics and Astronomy and Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843-4242, USA
| | - Vladimir Kocharovsky
- Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod 603950, Russia
| | - Vitaly Kocharovsky
- Department of Physics and Astronomy and Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843-4242, USA
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Lu XJ, Ruschhaupt A, Martínez-Garaot S, Muga JG. Noise Sensitivities for an Atom Shuttled by a Moving Optical Lattice via Shortcuts to Adiabaticity. ENTROPY 2020; 22:e22030262. [PMID: 33286036 PMCID: PMC7516713 DOI: 10.3390/e22030262] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/10/2020] [Revised: 02/21/2020] [Accepted: 02/21/2020] [Indexed: 11/30/2022]
Abstract
We find the noise sensitivities (i.e., the quadratic terms of the energy with respect to the perturbation of the noise) of a particle shuttled by an optical lattice that moves according to a shortcut-to-adiabaticity transport protocol. Noises affecting different optical lattice parameters, trap depth, position, and lattice periodicity, are considered. We find generic expressions of the sensitivities for arbitrary noise spectra but focus on the white-noise limit as a basic reference, and on Ornstein–Uhlenbeck noise to account for the effect of non-zero correlation times.
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Affiliation(s)
- Xiao-Jing Lu
- School of Electric and Mechatronics Engineering, Xuchang University, Xuchang 461000, China;
| | | | - Sofía Martínez-Garaot
- Departamento de Química Física, UPV/EHU, Apdo 644, 48080 Bilbao, Spain;
- Correspondence:
| | - Juan Gonzalo Muga
- Departamento de Química Física, UPV/EHU, Apdo 644, 48080 Bilbao, Spain;
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Thompson JD, Tiecke TG, de Leon NP, Feist J, Akimov AV, Gullans M, Zibrov AS, Vuletić V, Lukin MD. Coupling a Single Trapped Atom to a Nanoscale Optical Cavity. Science 2013; 340:1202-5. [DOI: 10.1126/science.1237125] [Citation(s) in RCA: 344] [Impact Index Per Article: 31.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Hybrid quantum devices, in which dissimilar quantum systems are combined in order to attain qualities not available with either system alone, may enable far-reaching control in quantum measurement, sensing, and information processing. A paradigmatic example is trapped ultracold atoms, which offer excellent quantum coherent properties, coupled to nanoscale solid-state systems, which allow for strong interactions. We demonstrate a deterministic interface between a single trapped rubidium atom and a nanoscale photonic crystal cavity. Precise control over the atom's position allows us to probe the cavity near-field with a resolution below the diffraction limit and to observe large atom-photon coupling. This approach may enable the realization of integrated, strongly coupled quantum nano-optical circuits.
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Affiliation(s)
- J. D. Thompson
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
| | - T. G. Tiecke
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
- Department of Physics, Massachusetts Institute of Technology (MIT)–Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, MA 02139, USA
| | - N. P. de Leon
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
- Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138, USA
| | - J. Feist
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
- Institute for Theoretical Atomic Molecular and Optical Physics (ITAMP), Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, USA
| | - A. V. Akimov
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
- Russian Quantum Center, Skolkovo, Moscow Region 143025, Russia
| | - M. Gullans
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
| | - A. S. Zibrov
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
| | - V. Vuletić
- Department of Physics, Massachusetts Institute of Technology (MIT)–Harvard Center for Ultracold Atoms, and Research Laboratory of Electronics, MIT, Cambridge, MA 02139, USA
| | - M. D. Lukin
- Department of Physics, Harvard University, Cambridge, MA 02138, USA
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Zuo Z, Fukusen M, Tamaki Y, Watanabe T, Nakagawa Y, Nakagawa K. Single atom Rydberg excitation in a small dipole trap. OPTICS EXPRESS 2009; 17:22898-22905. [PMID: 20052216 DOI: 10.1364/oe.17.022898] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
We have realized a single atom trap using a magneto-optical trap (MOT) with a high magnetic field gradient and a small optical dipole trap. Using this trap, we demonstrate the excitation to a highly excited Rydberg state (n=43) with a single Rubidium atom.
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Affiliation(s)
- Zhanchun Zuo
- Institute for Laser Science, University of Electro-Communications, 1-5-1 Chofugaoka, Chofu 182-8585, Japan.
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Karski M, Förster L, Choi JM, Alt W, Widera A, Meschede D. Nearest-neighbor detection of atoms in a 1D optical lattice by fluorescence imaging. PHYSICAL REVIEW LETTERS 2009; 102:053001. [PMID: 19257509 DOI: 10.1103/physrevlett.102.053001] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2008] [Indexed: 05/27/2023]
Abstract
We overcome the diffraction limit in fluorescence imaging of neutral atoms in a sparsely filled one-dimensional optical lattice. At a periodicity of 433 nm, we reliably infer the separation of two atoms down to nearest neighbors. We observe light induced losses of atoms occupying the same lattice site, while for atoms in adjacent lattice sites, no losses due to light induced interactions occur. Our method points towards characterization of correlated quantum states in optical lattice systems with filling factors of up to one atom per lattice site.
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Affiliation(s)
- M Karski
- Institut für Angewandte Physik der Universität Bonn, Wegelerstrasse 8, 53115 Bonn, Germany.
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Toschek PE. Chapter 2 A Single Quantum System: Evolution, Prediction, Observation. ADVANCES IN QUANTUM CHEMISTRY 2008. [DOI: 10.1016/s0065-3276(07)53002-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Miroshnychenko Y, Alt W, Dotsenko I, Förster L, Khudaverdyan M, Meschede D, Reick S, Rauschenbeutel A. Inserting two atoms into a single optical micropotential. PHYSICAL REVIEW LETTERS 2006; 97:243003. [PMID: 17280277 DOI: 10.1103/physrevlett.97.243003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2006] [Indexed: 05/13/2023]
Abstract
We recently demonstrated that strings of trapped atoms inside a standing wave optical dipole trap can be rearranged using optical tweezers [Y. Miroshnychenko, Nature 442, 151 (2006)]. This technique allows us to actively set the interatomic separations on the scale of the individual trapping potential wells. Here, we use such a distance-control operation to insert two atoms into the same potential well. The detected success rate of this manipulation is 16(-3)(+4)%, in agreement with the predictions of a theoretical model based on our experimental parameters.
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Affiliation(s)
- Y Miroshnychenko
- Institut für Angewandte Physik, Universität Bonn, Wegelerstrasse 8, D-53115 Bonn, Germany
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Miroshnychenko Y, Alt W, Dotsenko I, Förster L, Khudaverdyan M, Meschede D, Schrader D, Rauschenbeutel A. Quantum engineering: an atom-sorting machine. Nature 2006; 442:151. [PMID: 16838011 DOI: 10.1038/442151a] [Citation(s) in RCA: 97] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2006] [Accepted: 05/11/2006] [Indexed: 11/08/2022]
Abstract
Laser cooling and trapping techniques allow us to control and manipulate neutral atoms. Here we rearrange, with submicrometre precision, the positions and ordering of laser-trapped atoms within strings by manipulating individual atoms with optical tweezers. Strings of equidistant atoms created in this way could serve as a scalable memory for quantum information.
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