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Open Quantum Systems Decoherence

Large Deviations and Fluctuation Theorem for the Quantum Heat Current

arXiv
Authors: Erik Aurell, Brecht Donvil, Kirone Mallick

Year

2019

Paper ID

15097

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We study the heat current flowing between two baths consisting of harmonic oscillators interacting with a qubit through a spin-boson coupling. An explicit expression for the generating function of the total heat flowing between the hot and cold baths is derived by evaluating the corresponding Feynman-Vernon path integral under the non-interacting blip approximation (NIBA). This generating function satisfies the Gallavotti-Cohen fluctuation theorem, both before and after performing the NIBA. We also verify that the heat conductivity is proportional to the variance of the heat current, retrieving the well known fluctuation dissipation relation. Finally, we present numerical results for the heat current.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We study the heat current flowing between two baths consisting of harmonic oscillators interacting with a qubit through a spin-boson coupling.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.00427 [2] arXiv https://arxiv.org/abs/1911.00427 [3] Publisher https://arxiv.org/abs/1911.00427

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