Theory of open systems

L.A. Lugiato

Physica A: Statistical Mechanics and its Applications, 1976, vol. 82, issue 1, 1-22

Abstract: The method given in part I of the present paper is applied to the single-mode laser model. The treatment is based on two coupled equations for the Glauber distribution function of the field and for another distribution, which is linked in a simple way to the atomic inversion. It is shown that such equations are the operator analogue, in the Schrödinger picture, of the semi-classical equations of the laser. The analysis leads to a quantum-mechanical formula for the atomic inversion, which describes the effect of fluctuations. A closed equation is deduced for the field distribution function. In the markoff approximation such an equation reduces to the Fokker-Planck equation recently deduced by Mandel, which generalizes the Risken equation to the case of high-intensity lasers. The present method completely avoids the resummation of infinite terms of the kernel of the generalized master equation, performed by Mandel.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:82:y:1976:i:1:p:1-22

DOI: 10.1016/0378-4371(76)90089-3

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