Geometric phase accumulated in a driven quantum system coupled to an structured environment

TL;DR

This paper investigates how periodic driving influences the preservation of geometric phases in a two-level quantum system interacting with a structured environment, highlighting potential for improved quantum coherence.

Contribution

It demonstrates that periodic modulation can significantly enhance the survival of geometric phases, especially in Markovian regimes, with implications for quantum system design.

Findings

Periodic driving extends geometric phase coherence time.

Effect is prominent in Markovian environments.

Some preservation observed in non-Markovian regimes.

Abstract

We study the role of driving in a two-level system evolving under the presence of a structured environment. We find that adding a periodical modulation to the two-level system can greatly enhance the survival of the geometric phase for many time periods. We show that this effect is mainly important for a markovian regimen but can still be found when the environment exhibits non-markovian behavior as time revivals. This knowledge can aid the search for physical set-ups that best retain quantum properties under dissipative dynamics.