Hawking radiation on a falling lattice

Abstract

Scalar field theory on a lattice falling freely into a 1+1 dimensional black hole is studied using both WKB and numerical approaches. The outgoing modes are shown to arise from incoming modes by a process analogous to a Bloch oscillation, with an admixture of negative frequency modes corresponding to the Hawking radiation. Numerical calculations show that the Hawking effect is reproduced to within 0.5% on a lattice whose proper spacing where the wavepacket turns around at the horizon is $\sim 0.08$ in units where the surface gravity is 1.

11 pages, 7 figures, RevTex; paragraph added to introduction discussing insensitivity to choice of lattice point worldlines, version appearing in PRD

References in corpus (2)

• Generalization of the model of Hawking radiation with modified high frequency dispersion relation
• Black hole radiation with high frequency dispersion

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