Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation

TL;DR

This paper develops a thermodynamic framework for horizon brightened acceleration radiation (HBAR) caused by atomic clouds near black holes, showing it mimics black hole thermodynamics and revealing a conformal quantum mechanics origin of field entropy.

Contribution

It introduces a general quantum optics master equation approach to analyze HBAR thermodynamics, including rotating black holes, and uncovers a conformal quantum mechanics basis for field entropy.

Findings

HBAR exhibits thermal behavior at Hawking temperature

The HBAR area-entropy-flux relation resembles Bekenstein-Hawking entropy

A thermodynamic correspondence between HBAR and black holes is established

Abstract

The thermodynamics of ``horizon brightened acceleration radiation'' (HBAR), due to a random atomic cloud freely falling into a black hole in a Boulware-like vacuum, is shown to mimic the thermodynamics of the black hole itself. The thermodynamic framework is developed in its most general form via a quantum optics master equation, including rotating (Kerr) black holes and for any set of initial conditions of the atomic cloud. The HBAR field exhibits thermal behavior at the Hawking temperature and an area-entropy-flux relation that resembles the Bekenstein-Hawking entropy. In addition, this general approach reveals:(i) the existence of an HBAR-black-hole thermodynamic correspondence that explains the HBAR area-entropy-flux relation;(ii) the origin of the field entropy from the near-horizon behavior, via conformal quantum mechanics (CQM).