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

Abstract

We study the role of driving in a two-level system evolving under the presence of a structured environment in different regimes. We find that adding a periodic modulation to the two-level system can greatly enhance the survival of the geometric phase for many time periods in an intermediate coupling to the environment. In this regime, where there are some non-Markovian features characterizing the dynamics, we note that adding driving to the system leads to a suppression of non-Markovianity altogether, allowing for a smooth dynamical evolution and an enhancement of the robustness condition of the geometric phase. As the model studied herein is the one used to model experimental situations such as hybrid quantum classical systems feasible with current technologies, this knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.