New Approach for Solving Master Equations in Quantum Optics and Quantum Statistics by Virtue of Thermo-Entangled State Representation

由介绍一个虚构模式是在评论下面的系统模式的一个对应物模式，我们介绍纠缠的州的表示 η| ，它能由于 η| 的漂亮性质作为州向量的进化方程在量统计安排密度操作符 ρ (t) 的主人方程。这样，许多掌握方程(分别地描述抑制振荡器，激光，阶段敏感，并且有不同起始的密度操作员的阶段散开过程) 能简明地被解决。特殊，为腐烂常数 κ 的一个抑制过程特征，我们发现在在 η 的时间 t 的 ρ (t) 的矩阵元素|表示与在腐烂的纠缠的州的 ηe −κt 的起始的 ρ 0 的成正比|表示，与抑制因素的 Gaussian 伴随。因此，我们关于消散的过程的性质有新卓见。我们也建立了密度操作员的所谓的纠缠 thermo 的州的表示， ρ =∫ ( 与所有以前的已知的代表不同的 d 2η/π)η|ρD(η), 。

By introducing a fictitious mode to be a counterpart mode of the system mode under review we introduce the entangled state representation （η｜, which can arrange master equations of density operators p（t） in quantum statistics as state-vector evolution equations due to the elegant properties of （η｜. In this way many master equations （respectively describing damping oscillator, laser, phase sensitive, and phase diffusion processes with different initial density operators） can be concisely solved. Specially, for a damping process characteristic of the decay constant k we find that the matrix element of p（t） at time t in 〈η｜ representation is proportional to that of the initial po in the decayed entangled state （ηe^-kt｜ representation, accompanying with a Gaussian damping factor. Thus we have a new insight about the nature of the dissipative process. We also set up the so-called thermo-entangled state representation of density operators, ρ = f（d^2η/π）（η｜ρ〉D（η）, which is different from all the previous known representations.