Relativistic entropy production for a quantum field in a cavity

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.