- 98-23 F. Bagarello and G. L. Sewell
- New structures in the theory of the laser model: microscopic
dynamics and a non-equilibrium entropy principle
(58K, TeX)
Jan 19, 98
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Abstract. In a recent article, Alli and Sewell formulated a new version of the
Dicke-Hepp-Lieb laser model in terms of quantum dynamical semigroups,
and thereby extended the macroscopic picture of the model. In the
present article, we complement that picture with a corresponding
microscopic one, which carries the following new results. (a) The
local microscopic dynamics of the model is piloted by the classical,
macroscopic field, generated by the collective action of its components;
(b) the global state of the system carries no correlations between its
constituent atoms after transient effects have died out; and (c) in the
latter situation, the state of the system at any time $t$ maximises
its entropy density, subject to the constraints imposed by the
instantaneous values of its macroscopic variables.
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