Periodic thermodynamics of open quantum systems

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Periodic thermodynamics of open quantum systems. / Brandner, Kay; Seifert, Udo.

In: Physical Review E, Vol. 93, No. 6, 062134, 22.06.2016, p. 1-20.

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Brandner, Kay ; Seifert, Udo. / Periodic thermodynamics of open quantum systems. In: Physical Review E. 2016 ; Vol. 93, No. 6. pp. 1-20.

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@article{7be4b585439a483e9554e31bf2ef00e3,
title = "Periodic thermodynamics of open quantum systems",
abstract = "The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and the second law are formulated consistently. In the linear response regime, entropy production becomes a quadratic form in the affinities. Specializing to Lindblad dynamics, we identify the corresponding kinetic coefficients in terms of correlation functions of the unperturbed dynamics. Reciprocity relations follow from symmetries with respect to time reversal. The kinetic coefficients can be split into a classical and a quantum contribution subject to an additional constraint, which follows from a natural detailed balance condition. This constraint implies universal bounds on efficiency and power of quantum heat engines. In particular, we show that Carnot efficiency cannot be reached whenever quantum coherence effects are present, i.e., when the Hamiltonian used for work extraction does not commute with the bare system Hamiltonian. For illustration, we specialize our universal results to a driven two-level system in contact with a heat bath of sinusoidally modulated temperature.",
author = "Kay Brandner and Udo Seifert",
year = "2016",
month = "6",
day = "22",
doi = "10.1103/PhysRevE.93.062134",
language = "English",
volume = "93",
pages = "1--20",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",

}

RIS - Download

TY - JOUR

T1 - Periodic thermodynamics of open quantum systems

AU - Brandner, Kay

AU - Seifert, Udo

PY - 2016/6/22

Y1 - 2016/6/22

N2 - The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and the second law are formulated consistently. In the linear response regime, entropy production becomes a quadratic form in the affinities. Specializing to Lindblad dynamics, we identify the corresponding kinetic coefficients in terms of correlation functions of the unperturbed dynamics. Reciprocity relations follow from symmetries with respect to time reversal. The kinetic coefficients can be split into a classical and a quantum contribution subject to an additional constraint, which follows from a natural detailed balance condition. This constraint implies universal bounds on efficiency and power of quantum heat engines. In particular, we show that Carnot efficiency cannot be reached whenever quantum coherence effects are present, i.e., when the Hamiltonian used for work extraction does not commute with the bare system Hamiltonian. For illustration, we specialize our universal results to a driven two-level system in contact with a heat bath of sinusoidally modulated temperature.

AB - The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and the second law are formulated consistently. In the linear response regime, entropy production becomes a quadratic form in the affinities. Specializing to Lindblad dynamics, we identify the corresponding kinetic coefficients in terms of correlation functions of the unperturbed dynamics. Reciprocity relations follow from symmetries with respect to time reversal. The kinetic coefficients can be split into a classical and a quantum contribution subject to an additional constraint, which follows from a natural detailed balance condition. This constraint implies universal bounds on efficiency and power of quantum heat engines. In particular, we show that Carnot efficiency cannot be reached whenever quantum coherence effects are present, i.e., when the Hamiltonian used for work extraction does not commute with the bare system Hamiltonian. For illustration, we specialize our universal results to a driven two-level system in contact with a heat bath of sinusoidally modulated temperature.

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U2 - 10.1103/PhysRevE.93.062134

DO - 10.1103/PhysRevE.93.062134

M3 - Article

VL - 93

SP - 1

EP - 20

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

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ER -

ID: 6458571