摘要
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 <SUP>−κt</SUP> 的起始的 ρ
<SUB>0</SUB> 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 <SUP>2</SUP>η/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.
基金
supported by President Foundation of Chinese Academy of Sciences and National Natural Science Foundation of China under Grant Nos. 10775097 and 10874174
关键词
热纠缠态
量子统计
主方程
量子光学
表征
求解
阻尼因子
衰变常数
master equation, fictitious mode, thermo-entangled state representation, damping oscillator and laser, phase sensitive and phase diffusion processes