Principal bundle structure of quantum adiabatic dynamics with a Berry phase which does not commute with the dynamical phase - art. no. 072102

摘要

A geometric model is proposed to describe the Berry phase phenomenon when the geometric phase does not commute with the dynamical phase. The structure used is a principal composite bundle in which the adiabatic transport appears as a horizontal lift. The formulation is applied to a simple quantum dynamical system controlled by two lasers. (C) 2005 American Institute of Physics.