受振幅阻尼和热噪声共同影响的克尔介质主方程的解析解  

Analytical Solution of Master Equation of the Kerr Medium Affected by Simultaneous Amplitude Damping and Thermal Noise

作　　者：孟祥国[1] 刘钧毅 MENG Xiang-guo;LIU Jun-yi(Shandong Provincial Key Laboratory of Optical Communication Science and Technology,School of Physical Science and Information Engineering,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学山东省光通信科学与技术重点实验室、物理科学与信息工程学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2020年第6期55-59,共5页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(11347026);山东省自然科学基金项目(ZR2016AM03,ZR2017MA011)资助。

摘　　要：根据连续变量热场纠缠态表象导出的量子系统(实模)和环境(虚模)间的算符对应关系,解析求解了受振幅阻尼和热噪声同时影响的克尔介质量子主方程,并给出了其解析解的无限维广义克劳斯算符和表示.此外,还证明了广义克劳斯算符满足归一化条件.Using the continuous-variable thermal entangled state representations to derive the operator correspondence relations between the real mode of the system and the fictitious mode of the environment.Based on these relations,the quantum master equation describing the Kerr medium immersed in simultaneous amplitude damping and thermal noise is solved analytically,and the infinite-dimensional generalized Kraus operator-sum representation corresponding to the time-dependent density operator is presented.In addition,it is proved that the generalized Kraus operator satisfies the normalization condition and is a trace preserving operation.

关 键 词：热场纠缠态表象 噪声克尔介质 广义克劳斯算符 

分 类 号：O413.1[理学—理论物理]