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

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

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 …