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Title: Geometric phase of an accelerated two-level atom in the presence of a perfectly reflecting plane boundary

Abstract

We study the geometric phase of a uniformly accelerated two-level atom coupled with vacuum fluctuations of electromagnetic fields in the presence of a perfectly reflecting plane. We find that the geometric phase difference between the accelerated and inertial atoms which can be observed by atom interferometry crucially depends on the polarizability of the atom and the distance to the boundary and it can be dramatically manipulated with anisotropically polarizable atoms. In particular, extremely close to the boundary, the phase difference can be increased by two times as compared to the case without any boundary. So, the detectability of the effects associated with acceleration using an atom interferometer can be significantly increased by the presence of a boundary using atoms with anisotropic polarizability.

Authors:
 [1];  [1];  [1];  [2]
  1. Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan 410081 (China)
  2. (China)
Publication Date:
OSTI Identifier:
22560340
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 371; Journal Issue: Complete; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; ANISOTROPY; ATOMS; COMPARATIVE EVALUATIONS; ELECTROMAGNETIC FIELDS; ENERGY LEVELS; FLUCTUATIONS; GEOMETRY; INTERFEROMETRY; POLARIZABILITY; QUANTUM SYSTEMS

Citation Formats

Zhai, Hua, Zhang, Jialin, E-mail: jialinzhang@hunnu.edu.cn, Yu, Hongwei, E-mail: hwyu@hunnu.edu.cn, and Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211. Geometric phase of an accelerated two-level atom in the presence of a perfectly reflecting plane boundary. United States: N. p., 2016. Web. doi:10.1016/J.AOP.2016.05.017.
Zhai, Hua, Zhang, Jialin, E-mail: jialinzhang@hunnu.edu.cn, Yu, Hongwei, E-mail: hwyu@hunnu.edu.cn, & Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211. Geometric phase of an accelerated two-level atom in the presence of a perfectly reflecting plane boundary. United States. doi:10.1016/J.AOP.2016.05.017.
Zhai, Hua, Zhang, Jialin, E-mail: jialinzhang@hunnu.edu.cn, Yu, Hongwei, E-mail: hwyu@hunnu.edu.cn, and Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211. Mon . "Geometric phase of an accelerated two-level atom in the presence of a perfectly reflecting plane boundary". United States. doi:10.1016/J.AOP.2016.05.017.
@article{osti_22560340,
title = {Geometric phase of an accelerated two-level atom in the presence of a perfectly reflecting plane boundary},
author = {Zhai, Hua and Zhang, Jialin, E-mail: jialinzhang@hunnu.edu.cn and Yu, Hongwei, E-mail: hwyu@hunnu.edu.cn and Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211},
abstractNote = {We study the geometric phase of a uniformly accelerated two-level atom coupled with vacuum fluctuations of electromagnetic fields in the presence of a perfectly reflecting plane. We find that the geometric phase difference between the accelerated and inertial atoms which can be observed by atom interferometry crucially depends on the polarizability of the atom and the distance to the boundary and it can be dramatically manipulated with anisotropically polarizable atoms. In particular, extremely close to the boundary, the phase difference can be increased by two times as compared to the case without any boundary. So, the detectability of the effects associated with acceleration using an atom interferometer can be significantly increased by the presence of a boundary using atoms with anisotropic polarizability.},
doi = {10.1016/J.AOP.2016.05.017},
journal = {Annals of Physics},
number = Complete,
volume = 371,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}
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  • The generic Berry phase scenario in which a two-level system is coupled to a second system whose dynamical coordinate is slowly varying is generalized to allow for stochastic evolution of the slow system. The stochastic behavior is produced by coupling the slow system to a heat reservoir, which is modeled by a bath of harmonic oscillators initially in equilibrium at temperature T, and whose spectral density has a bandwidth that is small compared to the energy-level spacing of the fast system. The well-known energy-level shifts produced by Berry{close_quote}s phase in the fast system, in conjunction with the stochastic motion ofmore » the slow system, leads to a broadening of the fast system energy levels. In the limit of strong damping and sufficiently low temperature, we determine the degree of level broadening analytically, and show that the slow system dynamics satisfies a Langevin equation in which Lorentz-like and electriclike forces appear as a consequence of geometrical effects. We also determine the average energy level shift produced in the fast system by this mechanism. {copyright} {ital 1998} {ital The American Physical Society}« less