Skip to Main content Skip to Navigation
Journal articles

Large Deviations and Fluctuation Theorem for the Quantum Heat Current in the Spin-Boson Model

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 non-interacting 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.
Complete list of metadatas

Cited literature [92 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-02923402
Contributor : Bruno Savelli <>
Submitted on : Thursday, August 27, 2020 - 9:47:59 AM
Last modification on : Saturday, October 10, 2020 - 3:07:38 AM

File

mall.pdf
Files produced by the author(s)

Identifiers

Citation

Erik Aurell, Brecht Donvil, Kirone Mallick. Large Deviations and Fluctuation Theorem for the Quantum Heat Current in the Spin-Boson Model. Physical Review E , American Physical Society (APS), 2020, 101 (5), pp.052116. ⟨10.1103/PhysRevE.101.052116⟩. ⟨cea-02923402⟩

Share

Metrics

Record views

54

Files downloads

74