The hierarchy of characteristic times naturally justifies the necessity of the transition from the initial “exact” Hamiltonian of an open quantum system and its environment to an approximate effective Hamiltonian for the further use of the Markov approximation and the model of the delta-correlated environment of the open system. The transition to the effective Hamiltonian within the algebraic perturbation theory makes it possible to take into account interference relaxation channels and specific interference of random processes that cannot be detected and are absent in the rotating wave approximation. It has been shown that specific interference in the case of an ensemble of identical quantum oscillators results in a non-Wiener dynamics of the ensemble.

中文翻译：

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开放光学量子系统的时间层次和有效哈密顿量在白噪声逼近中的作用

特征时间的层次自然地证明了从开放的量子系统的初始“精确”哈密顿量及其环境过渡到近似有效哈密顿量的必要性，以进一步使用马尔可夫近似和与δ相关的环境模型。开放系统。在代数摄动理论内向有效哈密顿量的转换使得可以考虑干扰松弛通道和旋转波逼近中无法检测到的随机过程的特定干扰。已经显示出，在相同量子振荡器的集合的情况下的特定干扰导致该集合的非维纳动力学。