Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model

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http://hdl.handle.net/10138/319671

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Aurell , E , Donvil , B & Mallick , K 2020 , ' Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model ' , Physical Review E , vol. 101 , no. 5 , 052116 . https://doi.org/10.1103/PhysRevE.101.052116

Title: Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model
Author: Aurell, Erik; Donvil, Brecht; Mallick, Kirone
Contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2020-05-15
Language: eng
Number of pages: 15
Belongs to series: Physical Review E
ISSN: 2470-0045
URI: http://hdl.handle.net/10138/319671
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 right and left baths is derived by evaluating the corresponding Feynman-Vernon path integral by performing the noninteracting blip approximation (NIBA). We recover the known expression, obtained by using the polaron transform. This generating function satisfies the Gallavotti-Cohen fluctuation theorem, both before and after performing the NIBA. We also verify that the heat conductance 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.
Subject: DISSIPATIVE DYNAMICS
COUNTING STATISTICS
2-LEVEL SYSTEM
RECIPROCITY
111 Mathematics
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