Inducing and optimizing Markovian Mpemba effect with stochastic reset

TL;DR

This paper demonstrates that stochastic reset driving can induce and optimize the Mpemba effect in Markovian systems, balancing faster cooling with minimal energy dissipation, and suggests experimental applications.

Contribution

It introduces a method to induce and optimize the Mpemba effect using stochastic resets, revealing a Pareto front between speed and energy efficiency.

Findings

Stochastic reset can induce the Mpemba effect in systems where it is absent.

An optimal reset protocol balances rapid cooling and minimal energy dissipation.

The results suggest feasible experimental implementations.

Abstract

A hot Markovian system can cool down faster than a colder one: this is known as the Mpemba effect. Here, we show that a non-equilibrium driving via stochastic reset can induce this phenomenon, when absent. Moreover, we derive an optimal driving protocol simultaneously optimizing the appearance time of the Mpemba effect, and the total energy dissipation into the environment, revealing the existence of a Pareto front. Building upon previous experimental results, our findings open up the avenue of possible experimental realizations of optimal cooling protocols in Markovian systems.