Acoustic Analogues of Extremal Rotating Black Holes in Exciton-Polariton Condensates

Abstract: We theoretically investigate the acoustic analogues of high-angular-momentum rotating black holes in exciton-polariton condensates. Performing numerical simulations of a long-lived ring-shaped condensate configuration with an acoustic horizon and ergoregion for high angular momentum states, we observed a quasi-stable state near critical angular momentum where the acoustic black hole horizon disappears. Our findings offer an insight into the quantum nature of the instability of naked singularity.