Counterdiabatic driving for periodically driven open quantum systems

TL;DR

This paper explores how counterdiabatic driving can control the dynamics of periodically-driven open quantum systems, focusing on the interplay between correlations and convergence to the Gibbs distribution.

Contribution

It introduces the role of adiabatic gauge potential in inducing correlations and analyzes how counterdiabatic terms affect system convergence and performance.

Findings

Counterdiabatic terms eliminate correlations but hinder convergence to Gibbs state.

Performance depends on the relation among three system scales.

Correlations are induced by the adiabatic gauge potential.

Abstract

We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is given by the Gibbs distribution. We find that the correlation between the population part and the coherence part of the density operator is induced by an adiabatic gauge potential. Although the introduction of the counterdiabatic term eliminates the correlation, additional correlations prevent a convergence to the Gibbs distribution. We study the performance of the control by the counterdiabatic term. The system has three different scales and the performance strongly depends on the relations among their magnitudes.