q-generalized Tsallis thermostatistics in Unruh effect for mixed fields

TL;DR

This paper explores how the Unruh effect for mixed quantum fields can be described using q-generalized Tsallis statistics, revealing a link between the entropic index and field mixing parameters, and highlighting nonextensive entropy features.

Contribution

It introduces a statistical framework based on Tsallis entropy to describe the Unruh effect for mixed fields, connecting the q-index to field mixing parameters and vacuum entanglement.

Findings

The distribution deviates from pure Planckian spectrum due to field mixing.

The effective description uses q-generalized statistics with q<1.

A relation between q and mixing parameters is established.

Abstract

It was shown that the particle distribution detected by a uniformly accelerated observer in the inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering the superposition of fields with different masses. Here we elaborate on the statistical origin of this phenomenon. In a suitable regime, we provide an effective description of the emergent distribution in terms of the nonextensive q-generalized statistics based on Tsallis entropy. This picture allows us to establish a nontrivial relation between the q-entropic index and the characteristic mixing parameters sin{\theta} and \Delta m. In particular, we infer that q < 1, indicating the superadditive feature of Tsallis entropy in this framework. We discuss our result in connection with the entangled condensate structure acquired by the quantum vacuum for mixed fields.