A fluctuation theorem for Floquet quantum master equations

Fei Liu

doi:10.1088/1572-9494/ab95fc

A fluctuation theorem for Floquet quantum master equations

Fei Liu^*

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Review article › peer-review

Abstract

We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti-Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.

Original language	English
Article number	095601
Journal	Communications in Theoretical Physics
Volume	72
Issue number	9
DOIs	https://doi.org/10.1088/1572-9494/ab95fc
State	Published - 1 Sep 2020

Keywords

Floquet quantum master equations
Gallavotti-Cohen fluctuation theorem
large deviation principle
positive and negative heat currents

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10.1088/1572-9494/ab95fc

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title = "A fluctuation theorem for Floquet quantum master equations",

abstract = "We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti-Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.",

keywords = "Floquet quantum master equations, Gallavotti-Cohen fluctuation theorem, large deviation principle, positive and negative heat currents",

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N2 - We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti-Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.

AB - We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti-Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.

KW - Floquet quantum master equations

KW - Gallavotti-Cohen fluctuation theorem

KW - large deviation principle

KW - positive and negative heat currents

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DO - 10.1088/1572-9494/ab95fc

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VL - 72

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

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ER -

A fluctuation theorem for Floquet quantum master equations

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Keywords

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