Magnetic translation and Berry's phase factor through adiabatically rotating a magnetic field

Abstract

This Letter studies the infinitely degenerate quantum mechanical system of a charged particle moving in an adiabatically rotating magnetic field with a confining potential in the direction of the field. The path-dependent factor in the quantum evolution operator, which embodies the Berry phase phenomenon, is shown to be the product of a rotation operator and a path-ordered magnetic translation operator. Experimental verification of the result is proposed.