Probing Hawking Temperature Threshold via Quantum Depletion in Bose-Einstein Condensate

TL;DR

This paper explores how quantum depletion in a Bose-Einstein condensate with an analog black hole horizon correlates with Hawking temperature, revealing a threshold beyond which backreaction effects become significant.

Contribution

It demonstrates the relationship between quantum depletion and Hawking temperature in BECs and identifies a parameter regime where backreaction effects are observable.

Findings

Quantum depletion increases with Hawking temperature.

Presence of horizons enhances quantum depletion.

Backreaction effects emerge beyond a certain temperature threshold.

Abstract

We investigate the correlation between quantum depletion and Hawking temperature in a ringshaped Bose-Einstein condensate featuring an analog black hole-white hole horizon pair, using the Bogoliubov approach. The presence of horizons is found to enhance the quantum depletion compared to horizon-free configurations, indicating a correlation between depletion and horizon dynamics. Via tuning the Hawking temperature, we observe its effect on the depletion profile. Our results show that depletion increases with Hawking temperature, and beyond a certain threshold, backreaction effects emerge, challenging the validity of the Bogoliubov approximation. We identify a viable parameter regime where the system remains both theoretically controlled and experimentally accessible, offering insight into horizon-induced quantum fluctuations, with implications for future studies of backreaction.