Black-Hole evaporation and Quantum-depletion in Bose-Einstein condensates

TL;DR

This paper explores the analogy between black-hole Hawking radiation and quantum depletion in Bose-Einstein condensates, revealing similar Bogoliubov coefficient relations and connecting condensate states to black-hole horizons.

Contribution

It demonstrates the equivalence between the zero-temperature condensate regime and black-hole event horizons using Bogoliubov transformations.

Findings

Bogoliubov coefficients are similar in both black-hole and condensate cases

Zero temperature condensate corresponds to an event horizon

Establishes a formal analogy between black-hole physics and Bose-Einstein condensates

Abstract

We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We find that the relation between the Bogoliubov coefficients is similar in both cases (in the appropriate regimes). We then connect the condensate variables with those associated to the Black-Hole, demonstrating then that the zero temperature regime of the condensate is equivalent to the existence of an event horizon in gravity.