Black hole state evolution and Hawking radiation

TL;DR

This paper investigates how the evolution of a black hole's quantum state influences Hawking radiation, revealing that certain evolutions produce thermal radiation while others suppress it, depending on the nature of the unitary operator.

Contribution

It demonstrates that the thermodynamic properties of black holes depend on the specific unitary evolution operator governing their state, highlighting conditions that suppress Hawking radiation.

Findings

Random unitary evolution leads to thermal Hawking radiation.

Coherent state generator suppresses Hawking radiation.

Black hole thermodynamics depend on quantum state evolution.

Abstract

The effect of a black hole state evolution on the Hawking radiation is studied using the final state boundary condition. It is found that theormodynamic or statistical mechanical properties of a black hole depend strongly on the unitary evolution operator $S$ which determines the black hole state evolution. When the operator $S~$ is random unitary or psudeo random unitary, a black hole emits thermal radiation as predicted by Hawking three decades ago. On the other hand, it is found that the emission of Hawking radiation could be suppressed when the evolution of a black hole state is given by the generaor of the coherent state.