Information Fluctuation Theorem for an Open Quantum Bipartite System

TL;DR

This paper derives a fluctuation theorem for open quantum bipartite systems that links entropy production to quantum correlations, providing new insights into non-equilibrium quantum thermodynamics.

Contribution

It introduces a fluctuation theorem explicitly incorporating quantum correlations during non-equilibrium dynamics of bipartite systems.

Findings

Derives a fluctuation theorem relating local entropy production to quantum correlation changes.

Establishes a thermodynamic inequality based on the fluctuation theorem.

Demonstrates the theorem's application with an isothermal process on Werner states.

Abstract

We study an arbitrary non-equilibrium dynamics of a quantum bipartite system coupled to a reservoir. For its characterization, we present a fluctuation theorem (FT) that explicitly addresses the quantum correlation of subsystems during the thermodynamic evolution. To our aim, we designate the local and the global states altogether in the time-forward and the time-reversed transition probabilities. In view of the two-point measurement scheme, only the global states are subject to measurements whereas the local states are used only as an augmented information on the composite system. We specifically derive a FT in such a form that relates the entropy production of local systems in the time-forward transition to the change of quantum correlation in the time-reversed transition. This also leads to a useful thermodynamic inequality and we illustrate its advantage by an example of an isothermal process on Werner states.