Analog Kerr Black hole and Penrose effect in a Bose-Einstein Condensate

TL;DR

This paper proposes creating an acoustic Kerr black hole in a polariton Bose-Einstein condensate, demonstrating an analog Penrose effect and confirming the potential of analog gravity experiments.

Contribution

It introduces a method to simulate Kerr black holes with quantized angular momentum in a BEC and demonstrates the analog Penrose effect using topological defects.

Findings

Kerr metric is realized in a polariton BEC

Analog Penrose effect observed with test particles

Trajectories match Kerr geodesics

Abstract

Analog physics allows simulating inaccessible objects, such as black holes, in the lab. We propose to implement an acoustic Kerr black hole with quantized angular momentum in a polariton Bose-Einstein condensate. We show that the metric of the condensate is equivalent to the Kerr's one, exhibiting a horizon and an ergosphere. Using topological defects as test particles, we demonstrate an analog Penrose effect, extracting the rotation energy of the black hole. The particle trajectories are well described by the time-like geodesics of the Kerr metric, confirming the potential of analog gravity.