Contribution of the basis-dependent adiabatic geometric phase to noncyclic evolution

TL;DR

This paper discusses how the basis-dependent adiabatic geometric phase can be accurately calculated during noncyclic evolution in quantum systems with time-dependent Hamiltonians.

Contribution

It demonstrates the correct calculation method of the basis-dependent adiabatic geometric phase for noncyclic paths in adiabatic quantum evolution.

Findings

Geometric phase can be computed accurately in any instantaneous basis.

The method applies to Hamiltonians varying with time due to classical fields.

Provides a consistent framework for noncyclic adiabatic phases.

Abstract

The geometric phase acquired by the vector states under an adiabatic evolution along a noncyclic path can be calculated correctly in any instantaneous basis of a Hamiltonian that varies in time due to a time-dependent classical field.