A scaling-limit approach to the theory of laser transition

Details A scaling-limit approach to the theory of laser transition A scaling-limit approach to the theory of laser transition

2012-03-11

arxiv.org/abs/1203.2324v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Intended as contribution to "Photonics Europe 2012" Brussels, Belgium

Scientific paper

The conditions for the appearance of a sharp laser transition are formulated in terms of a scaling limit, involving vanishing cavity loss and light-matter coupling, $\kappa \to 0$, $g \to 0$, such that $g^2/\kappa$ stays finite. It is shown analytically that in this asymptotic parameter domain, and for pump rates above the threshold value, the photon output becomes large in a sense that is specified, and the photon statistics becomes strictly Poissonian. Numerical examples for the case of a two-level and a three-level emitter are presented and discussed in relation to the analytic result.

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