Theory of open systems
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.
Year of publication: |
1976
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Authors: | Lugiato, L.A. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 82.1976, 1, p. 1-22
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Publisher: |
Elsevier |
Saved in:
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