Non-Markovian Effects on the Geometric Phase

TL;DR

This paper investigates how non-Markovian environments influence the geometric phase of a two-level atom, using three different theoretical methods to analyze the effects and their dependence on dissipation rates.

Contribution

It introduces a comparative analysis of three non-Markovian models to study their impact on geometric phases in quantum systems.

Findings

Non-Markovian effects significantly alter the geometric phase at high dissipation rates.

Different non-Markovian models show varying degrees of influence on the geometric phase.

Large dissipation enhances the non-Markovian impact on the geometric phase.

Abstract

The geometric phases of a two-level atom interacting with non-Markovian environments are calculated and the non-Markovian effects on the geometric phases are discussed in this paper. Three kinds of methods that describe the non-Markovian process, projection superoperator technique, memory kernel master equation and post-Markovian master equation, are used in the discussions. The results show that when the dissipation rate is large, the non-Markovian effects change the geometric phase more strikingly than the small one.