Taming a Maxwell's demon for experimental stochastic resetting

Fuente: arXiv
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Auteurs principaux: Goerlich, Rémi, Li, Minghao, Pires, Luís Barbosa, Hervieux, Paul-Antoine, Manfredi, Giovanni, Genet, Cyriaque
Format: Preprint
Publié: 2023
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author Goerlich, Rémi
Li, Minghao
Pires, Luís Barbosa
Hervieux, Paul-Antoine
Manfredi, Giovanni
Genet, Cyriaque
author_facet Goerlich, Rémi
Li, Minghao
Pires, Luís Barbosa
Hervieux, Paul-Antoine
Manfredi, Giovanni
Genet, Cyriaque
contents A diffusive process that is reset to its origin at random times, so-called stochastic resetting (SR), is an ubiquitous expedient in many natural systems . Yet, beyond its ability to improve the efficiency of target searching, SR is a true non-equilibrium thermodynamic process that brings forward new and challenging questions . Here, we show how the recent developments of experimental information thermodynamics renew the way to address SR and can lead, beyond a new understanding, to better control on the non-equilibrium nature of SR. This thermodynamically controlled SR is experimentally implemented within a time-dependent optical trapping potential. We show in particular that SR converts heat into work from a single bath continuously and without feedback. This implements a Maxwell's demon that constantly erases information. In our experiments, the erasure takes the form of a protocol that allows to evaluate the true energetic cost of SR. We show that using an appropriate measure of the available information, this cost can be reduced to a reversible minimum while being bounded by the Landauer limit. We finally reveal that the individual trajectories generated by the demon all break ergodicity and thus demonstrate the non-ergodic nature of the demon's modus operandi. Our results offer new approaches to processes, such as SR, where the informational framework provides key experimental tools for their non-equilibrium thermodynamic control.
format Preprint
id arxiv_https___arxiv_org_abs_2306_09503
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Taming a Maxwell's demon for experimental stochastic resetting
Goerlich, Rémi
Li, Minghao
Pires, Luís Barbosa
Hervieux, Paul-Antoine
Manfredi, Giovanni
Genet, Cyriaque
Statistical Mechanics
A diffusive process that is reset to its origin at random times, so-called stochastic resetting (SR), is an ubiquitous expedient in many natural systems . Yet, beyond its ability to improve the efficiency of target searching, SR is a true non-equilibrium thermodynamic process that brings forward new and challenging questions . Here, we show how the recent developments of experimental information thermodynamics renew the way to address SR and can lead, beyond a new understanding, to better control on the non-equilibrium nature of SR. This thermodynamically controlled SR is experimentally implemented within a time-dependent optical trapping potential. We show in particular that SR converts heat into work from a single bath continuously and without feedback. This implements a Maxwell's demon that constantly erases information. In our experiments, the erasure takes the form of a protocol that allows to evaluate the true energetic cost of SR. We show that using an appropriate measure of the available information, this cost can be reduced to a reversible minimum while being bounded by the Landauer limit. We finally reveal that the individual trajectories generated by the demon all break ergodicity and thus demonstrate the non-ergodic nature of the demon's modus operandi. Our results offer new approaches to processes, such as SR, where the informational framework provides key experimental tools for their non-equilibrium thermodynamic control.
title Taming a Maxwell's demon for experimental stochastic resetting
topic Statistical Mechanics
url https://arxiv.org/abs/2306.09503