Unruh detectors and quantum chaos in JT gravity

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.

Degenerate operators in JT and Liouville (super)gravity

“…these are degenerate bilocals for which the results in this work have to be applied. It would be interesting to understand how they alter the deep IR bulk physics of [32,74].…”

Supergroup Structure of Jackiw-Teitelboim Supergravity

“…The simplicity of the gravitational path integral in low dimensions, particularly in Jackiw-Teitelboim (JT) gravity [1][2][3][4][5][6], has yielded important insights such as the paradigm of ensemble duality for effective theories of gravity [7][8][9][10][11][12][13][14][15], an improved understanding of topological effects on boundary correlation functions [16][17][18][19], an explicit calculational scheme for local quantum gravitational observables [20][21][22], and concrete applications of new gravitational entropy formulas (reviewed in [23]). The tractability of lower-dimensional models of gravity stems from the fact that such theories are perturbatively equivalent to topological gauge theories.…”

Unruh-DeWitt detector in dimensionally-reduced static spherically symmetric spacetimes

“…Note that the derivative coupling variant is in a sense a "sleight of hand": a clever choice of coupling in the (1+1)-dimensional calculation captures some important features of (3+1)-dimensional physics (such as the Unruh and Hawking effects). Since there are no Einstein equations in (1+1)-dimensions, the two-dimensional UDW model and QFT in curved spacetimes do not generally have a semi-classical regime where matter can backreact to the metric (unless one considers a two-dimensional limit of general relativity [72,73] or some modified theory such as Jackiw-Teitelboim gravity [74]; see [75] for a recent UDW application in this context). Therefore, one advantage of using the (1+1)-dimensional derivative UDW model is that whether or not the source of the truncated metric comes is from some gravitational field equations in two dimensions is irrelevant.…”