Geometric quantum phase for displaced states for a particle with an induced electric dipole moment

TL;DR

This paper explores the geometric quantum phase of displaced states of a neutral particle with an induced electric dipole moment, revealing how Berry phases arise in such systems under electric and magnetic fields.

Contribution

It introduces a method to construct displaced states for a neutral particle with an induced electric dipole moment and calculates the associated Berry phase during adiabatic cyclic evolutions.

Findings

Displaced states can be formed in the presence of electric and magnetic fields.

The Berry phase for these states is derived through adiabatic cyclic processes.

The study extends understanding of geometric phases in neutral particles with induced dipoles.

Abstract

Basing on the analogue Landau levels for a neutral particle possessing an induced electric dipole moment, we show that displaced states can be built in the presence of electric and magnetic fields. Besides, the Berry phase associated with these displaced quantum states is obtained by performing an adiabatic cyclic evolution in series of paths in parameter space.