激光与光电子学进展, 2015, 52 (4): 042702, 网络出版: 2015-02-15
扩散过程中混沌场的演化
Time Evolution of Chaotic Field in Diffusion Process
量子光学 热纠缠态表象 扩散过程 混沌场 quantum optics thermo entangled state representation diffusion process chaotic field
摘要
利用热纠缠态表象求解密度矩阵主方程的方法和有序算符内的积分技术,对扩散过程的密度矩阵主方程进行了求解,给出了主方程密度算符无限和表示的解的形式,导出了扩散过程混沌场密度算符的演化规律,并研究了平均光子数和光子数涨落的演化。研究结果表明:随着扩散过程的进行,混沌场密度算符的形式不变,仍然保持混沌场的性质,但其平均光子数随着扩散过程的进行线性增加,光子数涨落随扩散时间以二次函数形式扩大。
Abstract
Master equations of density operators in the diffusion process can be concisely solved by the technique of integration within an ordered product of operators and virtue of thermo- entangled state representation. The evolution formula of the field density operator which is chaotic field initially is got. The results show that the chaotic field maintains its original properties, but its average number of photons increases linearly in the diffusion process. The photon number fluctuation increases in the form of a quadratic function with diffusion time.
卢道明. 扩散过程中混沌场的演化[J]. 激光与光电子学进展, 2015, 52(4): 042702. Lu Daoming. Time Evolution of Chaotic Field in Diffusion Process[J]. Laser & Optoelectronics Progress, 2015, 52(4): 042702.