An exactly solvable model of calorimetric measurements

TL;DR

This paper presents an exactly solvable quantum model of a resonant level coupled to a Fermion reservoir, analyzing energy dynamics and distributions during transient interactions to aid calorimetric measurements.

Contribution

It introduces an exactly solvable model for quantum calorimetry, detailing energy evolution and distributions during transient coupling in various regimes.

Findings

Derived explicit time-dependent energy expressions.

Characterized energy distribution functions.

Analyzed coupling strength effects on energy dynamics.

Abstract

Calorimetric measurements are experimentally realizable methods to assess thermodynamics relations in quantum devices. With this motivation in mind, we consider a resonant level coupled to a Fermion reservoir. We consider a transient process, in which the interaction between the level and the reservoir is initially switched on and then switched off again. We find the time dependence of the energy of the reservoir, of the energy of the level and of the interaction energy between them at weak, intermediate, strong and ultra-strong coupling. We also determine the statistical distributions of these energies.