Relativistic entropy production for quantum field in cavity

TL;DR

This paper investigates the entropy production in a quantum field within a cavity undergoing acceleration, linking it to the second law of thermodynamics and information scrambling through the Bogoliubov transformation.

Contribution

It introduces a lower bound on entropy production for accelerated quantum fields, connecting thermodynamics, information theory, and quantum field transformations.

Findings

Derived a lower bound for entropy production in the system.

Linked entropy production to the thermodynamic cost of information change.

Provided an upper bound for quantum mutual information indicating information scrambling.

Abstract

A nonuniformly accelerated quantum field in a cavity undergoes the coordinate transformation of annihilation and creation operators, known as the Bogoliubov transformation. This study considers the entropy production of a quantum field in a cavity induced by the Bogoliubov transformation. By classifying the modes in the cavity into the system and environment, we obtain the lower bound of the entropy production, defined as the sum of the von Neumann entropy in the system and the heat dissipated to the environment. This lower bound represents the refined second law of thermodynamics for a quantum field in a cavity and can be interpreted as the Landauer principle, which yields the thermodynamic cost of changing information contained within the system. Moreover, it provides an upper bound for the quantum mutual information to quantify the extent of the information scrambling in the cavity due to acceleration.