Environmentally induced corrections to the geometric phase in a two-level system

TL;DR

This paper investigates how environmental interactions affect the geometric phase in two-level quantum systems, highlighting corrections and decoherence effects relevant for experimental measurements.

Contribution

It introduces a model showing measurable geometric phase modifications despite slow decoherence, advancing understanding of open quantum system dynamics.

Findings

Environmental interactions cause measurable corrections to the geometric phase.

Decoherence effects influence the geometric phase in open quantum systems.

A model with slow decoherence still allows for the observation of geometric phase modifications.

Abstract

We calculate the geometric phase for different open systems (spin-boson and spin-spin models). We study not only how they are corrected by the presence of the different type of environments but also discuss the appearence of decoherence effects. These should be taken into account when planning experimental setups to study the geometric phase in the nonunitary regime. We propose a model with slow decoherence rate in which the geometric phase is still modified and might be measured.