研究热相干态的Wigner函数  

Wigner Functions of Thermal Coherent State

作　　者：王帅[1] 

机构地区：[1]菏泽学院物理系,山东菏泽274015

出　　处：《光学学报》2009年第4期1101-1104,共4页Acta Optica Sinica

基　　金：菏泽学院自然科学基金(XY07WL01)资助项目

摘　　要：利用相干态表象下的Wigner算符和有序算符内的积分(IWOP)技术,首先得到了热相干态(量子纯态)的Wigner函数;同时借助相干态表象和算符的正规乘积形式给出了相应混合态的Wigner函数。结果表明。热相干态与相应混合态的Wigner函数是相一致的,支持了热场动力学(TFD)理论,且采用相干态表象下的Wigner算符、IWOP技术和算符的正规乘积形式来研究量子态的Wigner函数非常简捷方便。研究结果加深了人们对量子统计中相空间技术和热场动力学(TFD)理论的认识,且对于其它量子纯态与相应混合态相空间分布函数一致性的研究具有很好的理论指导意义。Using the Wigner operator in coherent state representation and the technique of integration within an ordered product of operators （IWOP）, the Wigner function of the thermal coherent state was obtained. By adopting the coherent state representation and normal product form of operators, the Wigner function of the corresponding mixed states was obtained too. It is found that the Wigner function of the thermal coherent state agrees with that of the corresponding mixed states, which support the thermofield dynamics laws. And it is convenient to study the Wigner functions of quantum states by the coherent state representation, IWOP technique and normal product form of operators. The results provide further new insights into the phase space technology of quantum statistics and thermo field dynamics, and have certain theoretical guidance meaning for studying other quantum phase-space distribution functions.

关 键 词：量子光学 相空间分布函数 热相干态 有序算符内的积分技术 

分 类 号：O413.2[理学—理论物理]