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I will discuss 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.
I will present some numerical results and discuss possible extensions.
This is joint work with Brecht Donvil and Kirone Mallick, available as [arXiv:1911.00427].