A Remark on the Strict Positivity of the Entropy Production

TL;DR

This paper provides an algebraic criterion to guarantee the strict positivity of entropy production in quantum systems interacting with thermal reservoirs at different temperatures.

Contribution

It introduces a new algebraic condition that ensures entropy production is strictly positive in quantum models with thermal reservoirs.

Findings

Established an algebraic criterion for positivity of entropy production

Applied the criterion to quantum models with thermal reservoirs

Ensured strict positivity under specified conditions

Abstract

We establish an algebraic criterion which ensures the strict positivity of the entropy production in quantum models consisting of a small system coupled to thermal reservoirs at different temperatures.