Abstract

The application of “exact/complete” initial Hamiltonian of an open optical system and its surroundings and “approximate” effective Hamiltonian for the derivation of the kinetic equation of the open optical system is analyzed in the conditions of the Markovian approximation and the representation of the open system surroundings (thermostat) as a delta-correlated noise. It is shown that the characteristic time hierarchy of the open system naturally necessitates a transition from the aforementioned exact Hamiltonian to the approximate effective Hamiltonian for the subsequent use of the Markovian approximation and the model of delta-correlated surroundings of the open system in the local approach. The Schrödinger equation for the wavevector of the open system and its surroundings is a quantum stochastic differential equation, from which the kinetic equation describing both familiar and new results can be derived easily in the standard manner.

中文翻译：

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开放量子光学系统理论的“全局”和“局部”方法

摘要

在马尔可夫逼近的条件下，分析了开放光学系统及其周围环境的“精确/完全”初始哈密顿量及其周围环境和“近似”有效哈密顿量在导出开放光学系统动力学方程中的应用。开放系统环境（恒温器）为与增量相关的噪声。结果表明，开放系统的特征时间层次自然需要从上述精确的哈密顿量转换为近似有效哈密顿量，以便随后在本地方法中使用马尔可夫近似和开放系统的δ相关环境模型。 。开放系统及其周围环境的波矢的薛定er方程是量子随机微分方程，