Abstract
Combined with the concept of induced gauge field, the Aharonov-Bohm effect of induced gauge field is analyzed. The relationship between gauge potential and Berry phase factor, gauge potential and Aharonov-Anandan phase factor in Suter experiment is given.
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References
Berry, M.V.: Quantal phase factors accompanying adiabatic changes. Proceedings of The Royal Society A 392, 45 (1984)
Aharonov, Y., Anandan, J.: Phase change during a cyclic quantum evolution. Phys. Rev. Lett. 58, 1593 (1987)
Wilczek, F., Zee, A.: Appearance of gauge structure in simple dynamical systems. Phys. Rev. Lett. 52, 2111 (1984)
Huang, F.J., Chen, Q.H., Liu, W.M.: Higgs Excitation in Cold Atoms with Spin-orbit Coupling, cond-mat. quant-gas, arXiv:1207.3707 (2012)
Liu, G., Zhu, S., Jiang, S., Sun, F., Liu, W.: Simulating and detecting the quantum spin Hall effect in the kagome optical lattice. Phys. Rev. A 82, 053605 (2010)
Kasem, A., Khalil, S.: Gauge-field-induced torsion and cosmic inflation. nternational Journal of Modern Physics A 36, 2150161 (2021)
Sun, C.P., Ge, M.L.: Generalized Born-Oppenheimer approximation and Aharonov-Bohm effect of induced gauge fields. Science in China (Series A) 5, 478 (1990)
Ding, S.W., Ye, Z.H.: Geometric phases of evolution of quantum systems. Prog. Phys. 1, 63 (1992)
Liu, Y. H., et al.: The Special Role of Electromagnetic Potential in the Aharonov-Bohm Effect, Selected Papers of the Fourth National Symposium on Electrodynamics, p 164. Higher Education Press, Beijing (1993)
Yu, Z.X., Liang, B.F.: The berry phase factor and its physical effects in the motion reference frame (2). Journal of Northeast Petroleum University 17, 132 (1993)
Sun, C.P., Zhang, L.Z.: Berry phase factors and their observable physical effects in motion reference frames. High Energy Physics and Nuclear Physics 14, 136 (1990)
Xu, J.B., Qian, T.Z., Gao, X.C.: Invariant theory and Aharonov-Anandan phase factors for general spin systems. Chin. Sci. Bull. 11, 821 (1991)
Sun, C.P., Ge, M.L.: Dynamic lie algebra structure and berry phase factor of quantum systems. Chin. Sci. Bull. 10, 750 (1990)
Ji, A.C., Liu, W.M., Song, J.L., Zhou, F.: Dynamical creation of fractionalized vortices and vortex lattices. Phys. Rev. Lett. 101, 010402 (2008)
Ji, A.C., Sun, Q., Xie, X.C., Liu, W.M.: Josephson effect for photons in two weakly linked microcavities. Phys. Rev. Lett. 102, 023602 (2009)
Qi, R., Yu, X.L., Li, Z.B., Liu, W.M.: Non-abelian josephson effect between Two F = 2 spinor bose-einstein condensates in double optical traps. Phys. Rev. Lett. 102, 185301 (2009)
Ji, A.C., Xie, X.C., Liu, W.M.: Quantum magnetic dynamics of polarized light in arrays of microcavities. Phys. Rev. Lett. 99, 183602 (2007)
Acknowledgments
This work was supported by The Open Foundation of State key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) (SKLNST-20**-2-0*). Thanks to the reviewers for their constructive comments and suggestions.
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Lv, XX., Yu, ZX. Aharonov-Bohm Effect of Induced Gauge Fields and Geometric Phase Factors in Suter Experiment. Int J Theor Phys 61, 128 (2022). https://doi.org/10.1007/s10773-022-05117-7
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DOI: https://doi.org/10.1007/s10773-022-05117-7