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Schach P, Friedrich A, Williams JR, Schleich WP, Giese E. Tunneling gravimetry. EPJ QUANTUM TECHNOLOGY 2022; 9:20. [PMID: 35939269 PMCID: PMC9345841 DOI: 10.1140/epjqt/s40507-022-00140-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 05/19/2022] [Accepted: 07/12/2022] [Indexed: 06/15/2023]
Abstract
We examine the prospects of utilizing matter-wave Fabry-Pérot interferometers for enhanced inertial sensing applications. Our study explores such tunneling-based sensors for the measurement of accelerations in two configurations: (a) a transmission setup, where the initial wave packet is transmitted through the cavity and (b) an out-tunneling scheme with intra-cavity generated initial states lacking a classical counterpart. We perform numerical simulations of the complete dynamics of the quantum wave packet, investigate the tunneling through a matter-wave cavity formed by realistic optical potentials and determine the impact of interactions between atoms. As a consequence we estimate the prospective sensitivities to inertial forces for both proposed configurations and show their feasibility for serving as inertial sensors.
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Affiliation(s)
- Patrik Schach
- Technische Universität Darmstadt, Fachbereich Physik, Institut für Angewandte Physik, Schlossgartenstr. 7, D-64289 Darmstadt, Germany
| | - Alexander Friedrich
- Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany
| | - Jason R. Williams
- Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109 USA
| | - Wolfgang P. Schleich
- Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany
- Hagler Institute for Advanced Study and Department of Physics and Astronomy, Institute for Quantum Science and Engineering (IQSE), Texas A&M University, College Station, TX 77843-4242 USA
| | - Enno Giese
- Technische Universität Darmstadt, Fachbereich Physik, Institut für Angewandte Physik, Schlossgartenstr. 7, D-64289 Darmstadt, Germany
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Manju P, Hardman KS, Wigley PB, Close JD, Robins NP, Szigeti SS. An atomic Fabry-Perot interferometer using a pulsed interacting Bose-Einstein condensate. Sci Rep 2020; 10:15052. [PMID: 32929106 PMCID: PMC7490404 DOI: 10.1038/s41598-020-71973-0] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2019] [Accepted: 08/24/2020] [Indexed: 11/09/2022] Open
Abstract
We numerically demonstrate atomic Fabry-Perot resonances for a pulsed interacting Bose-Einstein condensate (BEC) source transmitting through double Gaussian barriers. These resonances are observable for an experimentally-feasible parameter choice, which we determined using a previously-developed analytical model for a plane matter-wave incident on a double rectangular barrier system. Through numerical simulations using the non-polynomial Schödinger equation-an effective one-dimensional Gross-Pitaevskii equation-we investigate the effect of atom number, scattering length, and BEC momentum width on the resonant transmission peaks. For [Formula: see text]Rb atomic sources with the current experimentally-achievable momentum width of [Formula: see text] [[Formula: see text]], we show that reasonably high contrast Fabry-Perot resonant transmission peaks can be observed using (a) non-interacting BECs, (b) interacting BECs of [Formula: see text] atoms with s-wave scattering lengths [Formula: see text] ([Formula: see text] is the Bohr radius), and (c) interacting BECs of [Formula: see text] atoms with [Formula: see text]. Our theoretical investigation impacts any future experimental realization of an atomic Fabry-Perot interferometer with an ultracold atomic source.
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Affiliation(s)
- P Manju
- Atomlaser and Quantum Sensors Group, Department of Quantum Science, Research School of Physics, The Australian National University, Canberra, 2601, Australia
| | - K S Hardman
- Atomlaser and Quantum Sensors Group, Department of Quantum Science, Research School of Physics, The Australian National University, Canberra, 2601, Australia
| | - P B Wigley
- Atomlaser and Quantum Sensors Group, Department of Quantum Science, Research School of Physics, The Australian National University, Canberra, 2601, Australia
| | - J D Close
- Atomlaser and Quantum Sensors Group, Department of Quantum Science, Research School of Physics, The Australian National University, Canberra, 2601, Australia
| | - N P Robins
- Atomlaser and Quantum Sensors Group, Department of Quantum Science, Research School of Physics, The Australian National University, Canberra, 2601, Australia
| | - S S Szigeti
- Atomlaser and Quantum Sensors Group, Department of Quantum Science, Research School of Physics, The Australian National University, Canberra, 2601, Australia.
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Billy J, Josse V, Zuo Z, Guerin W, Aspect A, Bouyer P. Guided atom laser: a new tool for guided atom optics. ACTA ACUST UNITED AC 2008. [DOI: 10.1051/anphys:2008001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
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Lin YJ, Teper I, Chin C, Vuletić V. Impact of the Casimir-Polder potential and Johnson noise on Bose-Einstein condensate stability near surfaces. PHYSICAL REVIEW LETTERS 2004; 92:050404. [PMID: 14995290 DOI: 10.1103/physrevlett.92.050404] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2003] [Indexed: 05/24/2023]
Abstract
We investigate the stability of magnetically trapped atomic Bose-Einstein condensates and thermal clouds near the transition temperature at small distances 0.5 microm< or =d< or =10 microm from a microfabricated silicon chip. For a 2 microm thick copper film, the trap lifetime is limited by Johnson noise induced currents and falls below 1 s at a distance of 4 microm. A dielectric surface does not adversely affect the sample until the attractive Casimir-Polder potential significantly reduces the trap depth.
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Affiliation(s)
- Yu-ju Lin
- Department of Physics, Stanford University, Stanford, California 94305-4060, USA
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Carusotto I. Modulated optical lattice as an atomic fabry-perot interferometer. PHYSICAL REVIEW LETTERS 2000; 84:399-403. [PMID: 11015923 DOI: 10.1103/physrevlett.84.399] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/11/1999] [Indexed: 05/23/2023]
Abstract
We propose to engineer the atomic band structure in optical lattices in order to design a Fabry-Perot interferometer with large mode spacing and strong nonlinear coupling to be employed in atom optics. The use of an optical lattice allows for a significant reduction of the atomic effective mass, while the slow modulation of its parameters spatially confines the matter waves on a length scale of a few dozen optical wavelengths. As a consequence, the mode spacing in such a cavity would be as high as one-tenth of the recoil energy, allowing for a very efficient filter action, while the nonlinear coupling due to interatomic interactions could lead to bistability and limiting effects in the transmission of the atomic beam.
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Affiliation(s)
- I Carusotto
- Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy and INFM, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy and Laboratoire Kastler-Brossel, Ecole Normale Superieure, 24 rue Lhomond, 75231 Paris Cedex
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Guzmán AM, Moore M, Meystre P. Theory of a coherent atomic-beam generator. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:977-984. [PMID: 9912973 DOI: 10.1103/physreva.53.977] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dowling JP, Gea-Banacloche J. Schrödinger modal structure of cubical, pyramidal, and conical, evanescent light-wave gravitational atom traps. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:3997-4003. [PMID: 9912712 DOI: 10.1103/physreva.52.3997] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Liston GJ, Tan SM, Walls DF. Effect of spontaneous emission on the atomic modes in a stable gravitational cavity. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:3057-3073. [PMID: 9912592 DOI: 10.1103/physreva.52.3057] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Zhang W, Meystre P, Wright EM. Self-induced modulation and compression of an ultracold atomic cloud in a nonlinear atomic cavity. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:498-503. [PMID: 9912274 DOI: 10.1103/physreva.52.498] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Harris DJ, Savage CM. Atomic gravitational cavities from hollow optical fibers. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:3967-3971. [PMID: 9912069 DOI: 10.1103/physreva.51.3967] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Andrews M, Savage CM. Bound states of two-dimensional nonuniform waveguides. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:4535-4537. [PMID: 9911451 DOI: 10.1103/physreva.50.4535] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Zaugg T, Meystre P, Lenz G, Wilkens M. Theory of adiabatic cooling in cavities. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:3011-3021. [PMID: 9910584 DOI: 10.1103/physreva.49.3011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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