Exchange fluctuation theorem for heat transport between multi-terminal harmonic systems

TL;DR

This paper derives analytical expressions for heat transfer statistics in multi-terminal harmonic systems, demonstrating fluctuation theorems and the influence of coupling strength within a quantum framework.

Contribution

It introduces a quantum approach to full counting statistics in multi-terminal harmonic systems and analyzes the impact of coupling strength on exchange fluctuation theorems.

Findings

Analytical formulas for cumulant generating functions of heat transfer.

Validation of transient and steady-state fluctuation theorems.

Coupling strength significantly affects the exchange fluctuation theorem.

Abstract

We study full counting statistics for transferred heat and entropy production between multi-terminal systems in absence of a finite junction. The systems are modelled as collections of coupled harmonic oscillators which are kept at different equilibrium temperatures and are connected via arbitrary time dependent couplings. Following consistent quantum framework and two-time measurement concept we obtain analytical expressions for the generalized cumulant generating function. We discuss transient and steady-state fluctuation theorems for the transferred quantities. We also address the effect of coupling strength on the exchange fluctuation theorem.