Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes

TL;DR

This paper investigates how external driving and dissipation affect the dynamics of open quantum systems, revealing non-Markovian effects and collective phenomena with implications for quantum control.

Contribution

It provides an exact non-Markovian master equation for driven linear systems and extends the analysis to quantum emitters, highlighting novel collective and non-Markovian effects.

Findings

Non-Markovian corrections significantly influence coherent driving.

Discovery of a collective cross-driving effect in quantum emitters.

Short-time non-Markovian effects persist beyond environmental correlation times.

Abstract

Understanding how external driving and dissipation jointly influence the dynamics of open quantum systems is essential for advancing the study of non-equilibrium quantum phenomena and developing quantum technologies. The present study addresses the issue by exploring the behavior of open systems in driven optical setups coupled to a bosonic field. Starting from an exact non-Markovian master equation for linear systems, we extend the analysis to an ensemble of quantum emitters and validate the proposed solution. The analytical results unveil a range of intriguing phenomena, including pronounced non-Markovian corrections to the coherent driving and a collective cross-driving effect. These effects are experimentally accessible in platforms such as cavity QED, photonic crystals, and state-dependent optical lattices. In the Markovian limit, comparison with exact solutions reveal short-time non-Markovian effects that endure well beyond the environmental correlation decay time, alongside memory effects triggered by short laser pulses. These findings offer valuable insights into the dynamics of driven open systems, laying the groundwork for precise quantum state control.