Spontaneous parametric down conversion with a depleted pump as an analogue for black hole evaporation/particle production

TL;DR

This paper models black hole evaporation as an analogue to spontaneous parametric down conversion with a depleted pump, providing analytical insights into information flow and entanglement during black hole radiation.

Contribution

It offers an analytical formulation connecting black hole evaporation to quantum optics phenomena, specifically spontaneous parametric down conversion with pump depletion.

Findings

Derived Page Information curves for black hole radiation.

Established a close analogy between black hole evaporation and parametric down conversion.

Provided analytical tools for studying information dynamics in black hole evaporation.

Abstract

We present an analytical formulation of the recent one-shot decoupling model of Br\`adler and Adami [arXiv:1505.0284] and compute the resulting "Page Information" curves, for the reduced density matrices for the evaporating black hole internal degrees of freedom, and emitted Hawking radiation pairs entangled across the horizon. We argue that black hole evaporation/particle production has a very close analogy to the laboratory process of spontaneous parametric down conversion, when the pump is allowed to deplete.