Laser模型理论的新结构
New Structures in the Theory of the Laser Model
摘要：
在最近的一篇文章中，Alli和Sewell用量子动力学半群的形式建立了Dicke-Hepp-Lieb激光模型的新版本，从而扩展了该模型的宏观图像。在这篇文章中，我们用相应的微观图像来补充这一图像，它带来了以下新结果。(a)模型的局部微观动力学由其组成部分的集体作用产生的经典宏观场引导;（b）在瞬态效应消失后，系统的全局状态在其组成原子之间没有关联;以及（c）在后一种情况下，系统在任何时间的状态$t$使其熵密度最大化，受宏观变量瞬时值的约束。
英文摘要：
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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