An analogue of Hawking radiation in the quantum Hall effect

TL;DR

This paper constructs a model in quantum Hall systems that mimics Hawking radiation, showing that an event horizon emits particles with a thermal spectrum and entangled partners, resembling black hole radiation.

Contribution

It introduces a novel analogue model for Hawking radiation using quantum Hall edge states, linking condensed matter physics with gravitational phenomena.

Findings

Edge modes in quantum Hall effect can simulate event horizons.

Horizon emits particles with a thermal spectrum.

Particles are entangled with partners across the horizon.

Abstract

We use the identification of the edge mode of the filling fraction $\nu=1$ quantum Hall phase with a 1+1 dimensional chiral Dirac fermion to construct an analogue model for a chiral fermion in a space-time geometry possessing an event horizon. By solving the model in the lowest Landau level, we show that the event horizon emits particles and holes with a thermal spectrum. Each emitted quasiparticle is correlated with an opposite-energy partner on the other side of the event horizon. Once we trace out these "unobservable" partners, we are left with a thermal density matrix.