Non-adiabatic geometric phases and dephasing in an open quantum system

TL;DR

This paper investigates how dissipative environments affect non-adiabatic geometric phases and dephasing in open quantum systems, providing corrections relevant for recent experimental conditions.

Contribution

It introduces the first analysis of dissipative effects on non-adiabatic geometric phases, including non-adiabatic corrections for open quantum systems.

Findings

Dissipative environments modify geometric phases and dephasing.

Non-adiabatic corrections are significant in experimental regimes.

Weak and slow noise influence phase and coherence differently.

Abstract

We analyze the influence of a dissipative environment on geometric phases in a quantum system subject to non-adiabatic evolution. We find dissipative contributions to the acquired phase and modification of dephasing, considering the cases of weak short-correlated noise as well as of slow quasi-stationary noise. Motivated by recent experiments, we find the leading non-adiabatic corrections to the results, known for the adiabatic limit.