Unruh detectors and quantum chaos in JT gravity

TL;DR

This paper shows that the spectral properties of Hawking-Unruh radiation in JT gravity reveal quantum chaos signatures, such as level repulsion, which can be experimentally probed with linear detectors in black hole models.

Contribution

The study provides explicit calculations linking Hawking radiation spectral features to quantum chaos in JT gravity, introducing a radar-based observable framework.

Findings

Level repulsion suppresses low-energy Hawking particles

Spectral properties indicate chaotic level statistics

Results are consistent with universal features of Hawking radiation

Abstract

We identify the spectral properties of Hawking-Unruh radiation in the eternal black hole at ultra low energies as a probe for the chaotic level statistics of quantum black holes. Level repulsion implies that there are barely Hawking particles with an energy smaller than the level separation. This effect is experimentally accessible by probing the Unruh heat bath with a linear detector. We provide evidence for this effect via explicit and exact calculations in JT gravity building on a radar definition of bulk observables in the model. Similar results are observed for the bath energy density. This universal feature of eternal Hawking radiation should resonate into the evaporating setup.