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Scalar Aharonov–Bohm Phase in Ramsey Atom Interferometry under Time-Varying Potential. ATOMS 2016. [DOI: 10.3390/atoms4030023] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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Schütz G, Rembold A, Pooch A, Prochel H, Stibor A. Effective beam separation schemes for the measurement of the electric Aharonov–Bohm effect in an ion interferometer. Ultramicroscopy 2015; 158:65-73. [DOI: 10.1016/j.ultramic.2015.06.016] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2015] [Revised: 06/22/2015] [Accepted: 06/28/2015] [Indexed: 10/23/2022]
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Dulat S, Ma K. Aharonov-Casher and scalar Aharonov-Bohm topological effects. PHYSICAL REVIEW LETTERS 2012; 108:070405. [PMID: 22401183 DOI: 10.1103/physrevlett.108.070405] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/14/2011] [Indexed: 05/31/2023]
Abstract
We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and scalar Aharonov-Bohm phases are clarified. We analyze the arguments of M. Peshkin and H. J. Lipkin [Phys. Rev. Lett. 74, 2847 (1995)] in detail and show that they are based on the wrong Hamiltonian which yields their conclusion incorrect.
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Affiliation(s)
- Sayipjamal Dulat
- School of Physics Science and Technology, Xinjiang University, Urumqi, People's Republic of China.
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HASSELBACH F, SCHÄFER A, WACHENDORFER H. Particle Spectroscopy by Application of Michelson's “Light-Wave Analysis” Technique to de Broglie Waves. Ann N Y Acad Sci 2006. [DOI: 10.1111/j.1749-6632.1995.tb38980.x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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NICKLAUS MARC, HASSELBACH FRANZ. Experiments on the Influence of Electro-Magnetic and Gravito-Inertial Potentials and Fields on the Quantum Mechanical Phase of Matter Waves. Ann N Y Acad Sci 2006. [DOI: 10.1111/j.1749-6632.1995.tb39037.x] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Anandan J. Classical and quantum interaction of the dipole. PHYSICAL REVIEW LETTERS 2000; 85:1354-1357. [PMID: 10970503 DOI: 10.1103/physrevlett.85.1354] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/05/1999] [Indexed: 05/23/2023]
Abstract
A unified and fully relativistic treatment of the interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is given. New forces on the particle due to the combined effect of electric and magnetic dipoles are obtained. Several new experiments are proposed, which include observation of topological phase shifts.
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Affiliation(s)
- J Anandan
- Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208, USA
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Aharonov Y, Reznik B. Complementarity between local and nonlocal topological effects. PHYSICAL REVIEW LETTERS 2000; 84:4790-4793. [PMID: 10990799 DOI: 10.1103/physrevlett.84.4790] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/09/1999] [Indexed: 05/23/2023]
Abstract
In certain topological effects the accumulation of a quantum phase shift is accompanied by a local observable effect. We show that such effects manifest a complementarity between nonlocal and local attributes of the topology, which is reminiscent but different from the usual wave-particle complementarity. This complementarity is not a consequence of noncommutativity, rather it is due to the noncanonical nature of the observables. We suggest that a local/nonlocal complementarity is a general feature of topological effects that are "dual" to the Aharonov-Bohm effect.
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Affiliation(s)
- Y Aharonov
- School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel and Department of Physics, University of South Carolina, Columbia, South Carolina 29208, USA
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Summhammer J, Hamacher KA, Kaiser H, Weinfurter H, Jacobson DL, Werner SA. Multiphoton exchange amplitudes observed by neutron interferometry. PHYSICAL REVIEW LETTERS 1995; 75:3206-3209. [PMID: 10059526 DOI: 10.1103/physrevlett.75.3206] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Oh S, Ryu CM. Persistent spin currents induced by the Aharonov-Casher effect in mesoscopic rings. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:13441-13448. [PMID: 9978148 DOI: 10.1103/physrevb.51.13441] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Peshkin M, Lipkin HJ. Topology, locality, and Aharonov-Bohm effect with neutrons. PHYSICAL REVIEW LETTERS 1995; 74:2847-2850. [PMID: 10058041 DOI: 10.1103/physrevlett.74.2847] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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PESHKIN MURRAY. On the Aharonov-Bohm Effect with Neutronsa. Ann N Y Acad Sci 1995. [DOI: 10.1111/j.1749-6632.1995.tb38976.x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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KLEIN AG. Experimental Tests of the Foundations of Quantum Mechanics Using Neutrons: The Scalar A-B Effecta. Ann N Y Acad Sci 1995. [DOI: 10.1111/j.1749-6632.1995.tb38972.x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Zawisky M, Rauch H, Hasegawa Y. Contrast enhancement by time selection in neutron interferometry. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:5000-5006. [PMID: 9911500 DOI: 10.1103/physreva.50.5000] [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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Casella RC. Roles of local classical acceleration and spatial separation in the neutral particle analogs of the Aharonov-Bohm phases. PHYSICAL REVIEW LETTERS 1994; 73:2941-2945. [PMID: 10057242 DOI: 10.1103/physrevlett.73.2941] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Semon MD, Taylor JR. Comment on "Asymmetry of the Aharonov-Bohm diffraction pattern and Ehrenfest's theorem". PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:1954-1958. [PMID: 9911099 DOI: 10.1103/physreva.50.1954] [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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Pfeifer P. Scalar Aharonov-Bohm experiment with unpolarized neutrons. PHYSICAL REVIEW LETTERS 1994; 72:305. [PMID: 10056111 DOI: 10.1103/physrevlett.72.305] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Klein AG. Klein replies. PHYSICAL REVIEW LETTERS 1994; 72:306. [PMID: 10056112 DOI: 10.1103/physrevlett.72.306] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Miniatura C, Gorceix O, Robert J, Feron S, Lorent V, Reinhardt J, Baudon J, Rubin K. Atomic Stern-Gerlach interferences with time-dependent magnetic fields. PHYSICAL REVIEW LETTERS 1994; 72:1-4. [PMID: 10055551 DOI: 10.1103/physrevlett.72.1] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Allman BE, Cimmino A, Klein AG, Opat GI, Kaiser H, Werner SA. Observation of the scalar Aharonov-Bohm effect by neutron interferometry. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:1799-1807. [PMID: 9909794 DOI: 10.1103/physreva.48.1799] [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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Badurek G, Weinfurter H, Gähler R, Kollmar A, Wehinger S, Zeilinger A. Nondispersive phase of the Aharonov-Bohm effect. PHYSICAL REVIEW LETTERS 1993; 71:307-311. [PMID: 10055238 DOI: 10.1103/physrevlett.71.307] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Pfeifer P. How fast can a quantum state change with time? PHYSICAL REVIEW LETTERS 1993; 70:3365-3368. [PMID: 10053850 DOI: 10.1103/physrevlett.70.3365] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Summhammer J. Coherent multiphoton exchange between a neutron and an oscillating magnetic field. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:556-565. [PMID: 9908949 DOI: 10.1103/physreva.47.556] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Peshkin M. Comment on "Scalar Aharonov-Bohm experiment with neutrons". PHYSICAL REVIEW LETTERS 1992; 69:2017. [PMID: 10046375 DOI: 10.1103/physrevlett.69.2017] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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