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The trilinear Hamiltonian: a zero-dimensional model of Hawking radiation from a quantized source

2010/04/04 by P. D. Nation, Paul D Nation, M. P. Blencowe +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Electromagnetic spectrum #Hawking #Hawking radiation #Noncommutative and Quantum Gravity Theories #Parametric statistics #Quantum #Quantum Electrodynamics and Casimir Effect #Radiation #Sonic black hole #Spectrum (functional analysis) #cond-mat.other #gr-qc #quant-ph

paper · pdf · doi:10.1088/1367-2630/12/9/095013

published as New J. Phys. 12:095013,2010 · 18 pages, 6 figures, Submitted to New Journal of Physics focus issue: "Classical and Quantum Analogues for Gravitational Phenomena and Related Effects"

arxiv created 2010/04/04 · openalex publication_date 2010/09/30 · arxiv updated 2015/03/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate a quantum parametric amplifier with dynamical pump mode, viewed as a zero-dimensional model of Hawking radiation from an evaporating black hole. We derive the conditions under which the spectrum of particles generated from vacuum fluctuations deviates from the thermal spectrum predicted for the conventional parametric amplifier. We find that significant deviations arise when the pump mode (black hole) has emitted nearly half of its initial energy into the signal (Hawking radiation) and idler (in-falling particle) modes. As a model of black hole dynamics, this finding lends support to the view that late-time Hawking radiation contains information about the quantum state of the black hole and is entangled with the black hole's quantum gravitational degrees of freedom.

Citations