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

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).

31 pages, 1 figure

References in corpus (2)

• Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics
• Spontaneous excitation of an atom in a Kerr spacetime

Cited by in corpus (6)

• Near horizon aspects (and beyond) of acceleration radiation of an atom falling into a large class of static spherically symmetric black hole geometries
• Nonthermal acceleration radiation of atoms near a black hole in presence of dark energy
• Spectral Properties of the Symmetry Generators of Conformal Quantum Mechanics: A Path-Integral Approach
• Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole
• Virtual transitions in an atom-mirror system in the presence of two scalar photons
• Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation