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

Fuente: arXiv
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Autores principales: Solanki, Parvinder, Lesanovsky, Igor, Perfetto, Gabriele
Formato: Preprint
Publicado: 2025
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author Solanki, Parvinder
Lesanovsky, Igor
Perfetto, Gabriele
author_facet Solanki, Parvinder
Lesanovsky, Igor
Perfetto, Gabriele
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_10005
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal relaxation speedup in open quantum systems through transient conditional and unconditional resetting
Solanki, Parvinder
Lesanovsky, Igor
Perfetto, Gabriele
Statistical Mechanics
Quantum Physics
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.
title Universal relaxation speedup in open quantum systems through transient conditional and unconditional resetting
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2512.10005