# Entropy production of a small quantum system under strong coupling with an environment: A computational experiment

## TL;DR

This paper uses a computational simulation of a spin-boson model to investigate entropy production in strongly coupled quantum systems, revealing deviations from classical thermodynamics and proposing corrections for consistency.

## Contribution

It introduces a computational experiment that tests theoretical dissipation expressions in strongly coupled quantum systems, highlighting the need for entropy corrections.

## Key findings

- Measured dissipation deviates from the second law under strong coupling.
- Adding an entropy correction aligns results with thermodynamic principles.
- Simulation supports potential of mean force theory for entropy correction.

## Abstract

Many theoretical expressions of dissipation along non-equilibrium processes have been proposed. However, they have not been fully verified by experiments. Especially for systems strongly interacting with environments the connection between theoretical quantities and standard thermodynamic observables are not clear. We have developed a computer simulation based on a spin-boson model, which is in principle exact and suitable for testing the proposed theories. We have noted that the dissipation obtained by measuring conventional thermodynamic quantities deviates from the second law of thermodynamics presumably due to the strong coupling. We show that additive correction to entropy makes it more consistent with the second law. This observation appears to be consistent with the theory based on the potential of mean force.