# Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena

## TL;DR

This paper explores how quantum Hall systems can serve as analog models for black hole phenomena, revealing deep connections through a simple quantum mechanical model and proposing experimental setups to observe black hole-like quasinormal modes.

## Contribution

It establishes a novel analogy between quantum Hall physics and black hole phenomena using the inverted harmonic oscillator model and suggests experimental methods to detect black hole-like signatures.

## Key findings

- Quantum Hall systems can mimic black hole quasinormal modes.
- The inverted harmonic oscillator captures key spacetime symmetries.
- Proposed quantum Hall experiments to observe black hole analogs.

## Abstract

In this work, we propose the quantum Hall system as a platform for exploring black hole phenomena. By exhibiting deep rooted commonalities between lowest Landau level and spacetime symmetries, we show that features of both quantum Hall and gravitational systems can be elegantly captured by a simple quantum mechanical model, the inverted harmonic oscillator. Through this correspondence, we argue that radiation phenomena in gravitational situations, such as presented by W. G. Unruh and S. Hawking, bears a parallel with saddle-potential scattering of quantum Hall quasiparticles. We also find that scattering by the quantum Hall saddle potential can mimic the signature quasinormal modes in black holes, such as theoretically demonstrated through Gaussian scattering off a Schwarzschild black hole by C. V. Vishveshwara. We propose a realistic quantum Hall point contact setup for probing these temporally decaying modes in quasiparticle tunneling, offering a new mesoscopic parallel for black hole ringdown.