Perturbative photon production in a dispersive medium

Abstract

We investigate photon pair-creation in a dispersive dielectric medium induced by the presence of a spacetime varying dielectric constant. Our aim is to examine the possibility to observe new phenomena of pair creation induced by travelling dielectric perturbations e.g. created by laser pulses by means of the Kerr effect. In this perspective, we adopt a semi-phenomenological version of the Hopfield model in which a space-time dependent dielectric susceptibility appears. We focus our attention on perturbation theory, and provide general formulas for the photon production induced by a local but arbitrarily spacetime dependent refractive index perturbation. As an example, we further explore the case of an uniformly travelling perturbation, and provide examples of purely time-dependent perturbations.

9 pages and one figure

References in corpus (3)

• Dielectric black holes induced by a refractive index perturbation and the Hawking effect
• Quantum vacuum emission in a nonlinear optical medium illuminated by a strong laser pulse
• Emission of correlated photon pairs from superluminal perturbations in dispersive media

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• Exact quantisation of the relativistic Hopfield model
• Path integral quantization of the relativistic Hopfield model
• Studies on particle creation during the universe expansion with a laser system