Superradiance of anyons
Vishnulal Cheriyodathillathu, Saurya Das, Soumen Basak
TL;DR
This work investigates whether anyons in $(2+1)$-D can undergo superradiant amplification when interacting with rotating BTZ black holes. By first reviewing neutral-scalar superradiance in BTZ and then extending the framework to anyonic fields via a Chern-Simons–modified Abelian-Higgs model, it shows that the superradiance threshold remains identical to the neutral-scalar case, characterized by a negative horizon flux when $\mathcal{F}_E \propto \mathcal{R}(\omega)[\mathcal{R}(\omega) - m\Omega_H] + \mathcal{I}(\omega)^2 < 0$. The analysis is extended to acoustic black-hole analogues (draining bathtub flows), where the same condition translates to a measurable superresonance: $0<\omega<(m+aq)\Omega_H$. These results suggest feasible experimental tests that could illuminate anyon physics and the quantum behavior of fields near horizons. Overall, the paper links fractional statistics in $(2+1)$-D to horizon-energy extraction phenomena and proposes concrete pathways for observation in analogue gravity setups.
Abstract
In this paper, we investigate superradiance of anyons from a (2+1)-dimensional Bañados, Teitelboim and Zanelli (BTZ) black hole. Our analysis demonstrates that the superradiance condition for anyons mirrors that of a neutral scalar field within a BTZ black hole. Furthermore, we explore the feasibility of observing this phenomenon in analogue black holes and formulate the corresponding superradiance condition for acoustic black holes.