Derivation of Hawking radiation in dispersive dielectric media

Abstract

Motivated by recent experimental efforts, we study a black hole analog induced by the propagation of a strong laser pulse in a nonlinear dielectric medium. Based on the Hopfield model (one pair of Sellmeier coefficients), we perform an analytic and fully relativistic microscopic derivation of the analog of Hawking radiation in this setup. The Hawking temperature is determined by the analog of the surface gravity (as expected), but we also find a frequency-dependent gray-body factor (i.e., a nonthermal spectrum at infinity) due to the breaking of conformal invariance in this setup.

16 pages REVTeX, 10 (sub)figures

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• Quantum radiation in dielectric media with dispersion and dissipation
• The Hopfield-Kerr model and analogue black hole radiation in dielectrics
• Analogue Hawking Effect: a master equation
• Ergoregion in Metamaterials Mimicking a Kerr Spacetime
• Event horizons are tunable factories of quantum entanglement
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• Condensed-matter analogs of the Sauter--Schwinger effect
• Quantization and soliton-like solutions for the $\Phi \Psi$-model in a optic fiber
• Hawking radiation of anyons