Universal relaxation speedup in open quantum systems through transient conditional and unconditional resetting

TL;DR

This paper demonstrates that transient stochastic resetting can universally accelerate relaxation in open quantum systems, including many-body cases with phase transitions, without requiring detailed initial state control.

Contribution

It introduces a universal resetting protocol that speeds up relaxation in open quantum systems using only macroscopic target state properties.

Findings

Significant exponential acceleration in reaching stationary states.

Universal applicability across few-body and many-body quantum systems.

Speedup similar to the Mpemba effect in classical systems.

Abstract

Speeding up the relaxation dynamics of many-body quantum systems is important in a variety of contexts, including quantum computation and state preparation. We demonstrate that such acceleration can be universally achieved via transient stochastic resetting. This means that during an initial time interval of finite duration, the dynamics is interrupted by resets that take the system to a designated state at randomly selected times. We illustrate this idea for few-body open systems and also for a challenging many-body case, where a first-order phase transition leads to a divergence of relaxation time. In all scenarios, a significant and sometimes even exponential acceleration in reaching the stationary state is observed, similar to the so-called Mpemba effect. The universal nature of this speedup lies in the fact that the design of the resetting protocol only requires knowledge of a few macroscopic properties of the target state, such as the order parameter of the phase transition, while it does not necessitate any fine-tuned manipulation of the initial state.