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Unruh detectors and quantum chaos in JT gravity
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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.
Forward citations
Cited by 2 Pith papers
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Falling through the horizon of a quantum black hole
Gravitational dressing in JT gravity lets an infalling Unruh-DeWitt detector detect the horizon location and temperature locally, violating the equivalence principle without a firewall.
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Integrals of motion on extremals of the equation Euler-Lagrange
The paper claims that Wronskian determinants of closed first-order ODE systems serve as integrals of motion on Euler-Lagrange extremals, constructed via the Jacobi equation.
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