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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Quantum theory of open systems based on stochastic differential equations of generalized langevin (non-Wiener) type
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Quantum theory of open systems based on stochastic differential equations of generalized langevin (non-Wiener) type

机译：基于广义兰格文（非维纳）型随机微分方程的开放系统量子理论

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It is shown that the effective Hamiltonian representation, as it is formulated in author's papers, serves as a basis for distinguishing, in a broadband environment of an open quantum system, independent noise sources that determine, in terms of the stationary quantum Wiener and Poisson processes in the Markov approximation, the effective Hamiltonian and the equation for the evolution operator of the open system and its environment. General stochastic differential equations of generalized Langevin (non-Wiener) type for the evolution operator and the kinetic equation for the density matrix of an open system are obtained, which allow one to analyze the dynamics of a wide class of localized open systems in the Markov approximation. The main distinctive features of the dynamics of open quantum systems described in this way are the stabilization of excited states with respect to collective processes and an additional frequency shift of the spectrum of the open system. As an illustration of the general approach developed, the photon dynamics in a singlemode cavity without losses on the mirrors is considered, which contains identical intracavity atoms coupled to the external vacuum electromagnetic field. For some atomic densities, the photons of the cavity mode are "locked" inside the cavity, thus exhibiting a new phenomenon of radiation trapping and non-Wiener dynamics.
机译：结果表明，作者论文中提出的有效哈密顿表示，可以作为在开放量子系统的宽带环境中区分独立噪声源的基础，这些独立噪声源根据稳态量子维纳和泊松过程来确定在马尔可夫近似中，有效的哈密顿量和开放系统及其环境的演化算子方程。获得了演化算子的​​广义Langevin（非Wiener）型广义随机微分方程和一个开放系统的密度矩阵的动力学方程，这使人们能够分析马尔可夫中一类广泛的局部开放系统的动力学。近似。以这种方式描述的开放量子系统动力学的主要显着特征是，相对于集体过程而言，激发态的稳定性以及开放系统频谱的额外频移。作为开发的一般方法的说明，考虑了单模腔中的光子动力学，而在反射镜上没有损耗，该光子动力学包含耦合到外部真空电磁场的相同腔内原子。对于某些原子密度，腔模式的光子被“锁定”在腔内部，从而表现出一种新的辐射捕获和非维纳动力学现象。

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