Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic equations of motion, introduces time into the description of the...

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Autores: Guéry-Odelin, David, Jarzynski, Christopher, Plata, Carlos A, Prados Montaño, Antonio, Trizac, Emmanuel
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180550
Acceso en línea:https://hdl.handle.net/11441/180550
https://doi.org/10.1088/1361-6633/acacad
Access Level:acceso abierto
Palabra clave:stochastic thermodynamics
control__
shortcut to adiabaticity
Fokker–Planck equation
accelerated thermalization
out of equilibrium statistical physics
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spelling Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamicsGuéry-Odelin, DavidJarzynski, ChristopherPlata, Carlos APrados Montaño, AntonioTrizac, Emmanuelstochastic thermodynamicscontrol__shortcut to adiabaticityFokker–Planck equationaccelerated thermalizationout of equilibrium statistical physicsStochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic equations of motion, introduces time into the description of thermodynamic processes—which opens the way to fine control them. As a result, the field of finite-time thermodynamics of mesoscopic systems has blossomed. In this article, after introducing a few concepts of control for isolated mechanical systems evolving according to deterministic equations of motion, we review the different strategies that have been developed to realize finite-time state-to-state transformations in both over and underdamped regimes, by the proper design of time-dependent control parameters/driving. The systems under study are stochastic, epitomized by a Brownian object immersed in a fluid; they are thus strongly coupled to their environment playing the role of a reservoir. Interestingly, a few of those methods (inverse engineering, counterdiabatic driving, fast-forward) are directly inspired by their counterpart in quantum control. The review also analyzes the control through reservoir engineering. Besides the reachability of a given target state from a known initial state, the question of the optimal path is discussed. Optimality is here defined with respect to a cost function, a subject intimately related to the field of information thermodynamics and the question of speed limit. Another natural extension discussed deals with the connection between arbitrary states or non-equilibrium steady states. This field of control in stochastic thermodynamics enjoys a wealth of applications, ranging from optimal mesoscopic heat engines to population control in biological systems.IOP PublishingFísica Atómica, Molecular y Nuclear2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/180550https://doi.org/10.1088/1361-6633/acacadreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésReports on Progress in Physics, 86 (3).https://iopscience.iop.org/article/10.1088/1361-6633/acacadinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1805502026-06-17T12:51:07Z
dc.title.none.fl_str_mv Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
title Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
spellingShingle Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
Guéry-Odelin, David
stochastic thermodynamics
control__
shortcut to adiabaticity
Fokker–Planck equation
accelerated thermalization
out of equilibrium statistical physics
title_short Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
title_full Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
title_fullStr Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
title_full_unstemmed Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
title_sort Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
dc.creator.none.fl_str_mv Guéry-Odelin, David
Jarzynski, Christopher
Plata, Carlos A
Prados Montaño, Antonio
Trizac, Emmanuel
author Guéry-Odelin, David
author_facet Guéry-Odelin, David
Jarzynski, Christopher
Plata, Carlos A
Prados Montaño, Antonio
Trizac, Emmanuel
author_role author
author2 Jarzynski, Christopher
Plata, Carlos A
Prados Montaño, Antonio
Trizac, Emmanuel
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Física Atómica, Molecular y Nuclear
dc.subject.none.fl_str_mv stochastic thermodynamics
control__
shortcut to adiabaticity
Fokker–Planck equation
accelerated thermalization
out of equilibrium statistical physics
topic stochastic thermodynamics
control__
shortcut to adiabaticity
Fokker–Planck equation
accelerated thermalization
out of equilibrium statistical physics
description Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic equations of motion, introduces time into the description of thermodynamic processes—which opens the way to fine control them. As a result, the field of finite-time thermodynamics of mesoscopic systems has blossomed. In this article, after introducing a few concepts of control for isolated mechanical systems evolving according to deterministic equations of motion, we review the different strategies that have been developed to realize finite-time state-to-state transformations in both over and underdamped regimes, by the proper design of time-dependent control parameters/driving. The systems under study are stochastic, epitomized by a Brownian object immersed in a fluid; they are thus strongly coupled to their environment playing the role of a reservoir. Interestingly, a few of those methods (inverse engineering, counterdiabatic driving, fast-forward) are directly inspired by their counterpart in quantum control. The review also analyzes the control through reservoir engineering. Besides the reachability of a given target state from a known initial state, the question of the optimal path is discussed. Optimality is here defined with respect to a cost function, a subject intimately related to the field of information thermodynamics and the question of speed limit. Another natural extension discussed deals with the connection between arbitrary states or non-equilibrium steady states. This field of control in stochastic thermodynamics enjoys a wealth of applications, ranging from optimal mesoscopic heat engines to population control in biological systems.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/180550
https://doi.org/10.1088/1361-6633/acacad
url https://hdl.handle.net/11441/180550
https://doi.org/10.1088/1361-6633/acacad
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reports on Progress in Physics, 86 (3).
https://iopscience.iop.org/article/10.1088/1361-6633/acacad
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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