Thermodynamic bounds on coherent transport in periodically driven conductors

Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate thermoelectrical biases and low driving frequencies. For this li...

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Autores principales:	Elina Potanina, Christian Flindt, Michael Moskalets, Kay Brandner
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/fca806a3887045a2922ec11b44168c7c
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spelling	oai:doaj.org-article:fca806a3887045a2922ec11b44168c7c2021-12-02T14:36:53ZThermodynamic bounds on coherent transport in periodically driven conductors10.1103/PhysRevX.11.0210132160-3308https://doaj.org/article/fca806a3887045a2922ec11b44168c7c2021-04-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.021013http://doi.org/10.1103/PhysRevX.11.021013https://doaj.org/toc/2160-3308Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate thermoelectrical biases and low driving frequencies. For this linear response regime, we establish generalized Onsager-Casimir relations and an extended fluctuation-dissipation theorem. Furthermore, we derive a family of thermodynamic bounds proving that any local matter or heat current puts a nontrivial lower limit on the overall dissipation rate of a coherent transport process. These bounds do not depend on system-specific parameters, are robust against dephasing, and involve only experimentally accessible quantities. They thus provide powerful tools to optimize the performance of mesoscopic devices and for thermodynamic inference, as we demonstrate by working out three specific applications. We then show that physically transparent extensions of our bounds hold also for strong biases and high frequencies. These generalized bounds imply a thermodynamic uncertainty relation that fully accounts for quantum effects and periodic driving. Moreover, they lead to a universal and operationally accessible bound on entropy production that can be readily used for thermodynamic inference and device engineering far from equilibrium. Connecting a broad variety of topics that range from thermodynamic geometry over thermodynamic uncertainty relations to quantum engineering, our work provides a unifying thermodynamic theory of coherent transport that can be tested and utilized with current technologies.Elina PotaninaChristian FlindtMichael MoskaletsKay BrandnerAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 2, p 021013 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Elina Potanina Christian Flindt Michael Moskalets Kay Brandner Thermodynamic bounds on coherent transport in periodically driven conductors
description	Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate thermoelectrical biases and low driving frequencies. For this linear response regime, we establish generalized Onsager-Casimir relations and an extended fluctuation-dissipation theorem. Furthermore, we derive a family of thermodynamic bounds proving that any local matter or heat current puts a nontrivial lower limit on the overall dissipation rate of a coherent transport process. These bounds do not depend on system-specific parameters, are robust against dephasing, and involve only experimentally accessible quantities. They thus provide powerful tools to optimize the performance of mesoscopic devices and for thermodynamic inference, as we demonstrate by working out three specific applications. We then show that physically transparent extensions of our bounds hold also for strong biases and high frequencies. These generalized bounds imply a thermodynamic uncertainty relation that fully accounts for quantum effects and periodic driving. Moreover, they lead to a universal and operationally accessible bound on entropy production that can be readily used for thermodynamic inference and device engineering far from equilibrium. Connecting a broad variety of topics that range from thermodynamic geometry over thermodynamic uncertainty relations to quantum engineering, our work provides a unifying thermodynamic theory of coherent transport that can be tested and utilized with current technologies.
format	article
author	Elina Potanina Christian Flindt Michael Moskalets Kay Brandner
author_facet	Elina Potanina Christian Flindt Michael Moskalets Kay Brandner
author_sort	Elina Potanina
title	Thermodynamic bounds on coherent transport in periodically driven conductors
title_short	Thermodynamic bounds on coherent transport in periodically driven conductors
title_full	Thermodynamic bounds on coherent transport in periodically driven conductors
title_fullStr	Thermodynamic bounds on coherent transport in periodically driven conductors
title_full_unstemmed	Thermodynamic bounds on coherent transport in periodically driven conductors
title_sort	thermodynamic bounds on coherent transport in periodically driven conductors
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/fca806a3887045a2922ec11b44168c7c
work_keys_str_mv	AT elinapotanina thermodynamicboundsoncoherenttransportinperiodicallydrivenconductors AT christianflindt thermodynamicboundsoncoherenttransportinperiodicallydrivenconductors AT michaelmoskalets thermodynamicboundsoncoherenttransportinperiodicallydrivenconductors AT kaybrandner thermodynamicboundsoncoherenttransportinperiodicallydrivenconductors
_version_	1718391048783265792

Thermodynamic bounds on coherent transport in periodically driven conductors

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