arXiv:1512.02292 · Physics Letters B

The time-dependent Aharonov–Casher effect

Douglas Singleton, J. Ulbricht

Published Dec 11, 2015• 10 citations

Abstract

In this paper we give a covariant expression for Aharonov–Casher phase. This expression is a combination of the canonical electric field, Aharonov–Casher phase plus a magnetic field phase shift. We use this covariant expression for the Aharonov–Casher phase to investigate the case of a neutral particle with a non-zero magnetic moment moving in the time dependent electric and magnetic fields of a plane electromagnetic wave background. We focus on the case where the magnetic moment of the particle is oriented so that both the electric and magnetic fields lead to non-zero phases, and we look at the interplay between these electric and magnetic phases.

DOI: 10.1016/j.physletb.2015.12.002

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arXiv:1512.02292 · Physics Letters B

The time-dependent Aharonov–Casher effect

Douglas Singleton, J. Ulbricht

Published Dec 11, 2015• 10 citations

arXiv HTML PDF

Abstract

DOI: 10.1016/j.physletb.2015.12.002

Related papers

The Aharonov-Casher Phase: Considerations Regarding Force, Time-Dependence, and Berry Phase

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The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths.The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries in which an analytic expression for the phase can be obtained are examined, as well as the relation of the AC phase to the Berry phase. The AC phase is determined for an arbitrary homogeneous electric field; it is quadratic (linear) in the field strength for small (large) electric field strengths.

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arXiv:2411.04589Physical review. B./Physical review. BJun 17, 20255 citations

\oint A_\mu \mathrm{d}x ^\mu

) and the field (i.e.

\frac{1}{2}\int F_{\mu \nu } \mathrm{d}\sigma ^{\mu \nu }

) forms of the Aharonov–Bohm phase. We give conditions in terms of the parameters of the system (frequency of the electromagnetic wave, the size of the space–time loop, amplitude of the electromagnetic wave) under which the time-varying Aharonov–Bohm effect could be observed.