负P表示非经典光场的Wehrl熵和Shannon熵  

The Wehrl′s Entropy and Shannon′s Entropy for the Non-classical Optical Fields with Negative P Representation

作　　者：冷建材[1] 夏云杰[2] 马红[3] 

机构地区：[1]山东轻工业学院数理学院,山东济南250100 [2]曲阜师范大学物理工程学院,山东曲阜273165 [3]上海大学理学院,上海200444

出　　处：《量子光学学报》2007年第2期88-91,共4页Journal of Quantum Optics

摘　　要：研究了负P表示非经典光场的Wehrl熵和Shannon熵与场参数m和平均光子数n-的关系,结果显示,负P表示的非经典光场的Wehrl熵随着场参数m和平均光子数的增大而减小,当n-增大到一定程度时Wehrl熵趋向于一个不变的常数。用数值计算的方法研究了负P表示光场的Shannon熵与平均光子数n-的关系,结果表明,Shannon熵随着场参数m和平均光子数n-的增大而增大。同时发现,Wehrl熵随光场总噪声的增大而减小,Shannon熵随力学量起伏的减小而减小。The Wehrl＇s Entropy and Shannon＇s entropy for the non-classical optical fields with negative P representation are studied in this paper. The results show that the Wehrl＇s entropy of the states decreases along with the growth of the state parameter and the average photon numbers and tend to be constant. While the Shannon＇s entropy increases along with the increase of state parameter and the average photon numbers. It is also found that the Wehrl＇s entropy of the non-classical optical fields with negative P representation decreases while the total noise increases and the Shannon＇s entropy decreases along with the decrease of observable fluctuation.

关 键 词：负P表示 非经典光场 WEHRL熵 Shannon熵 

分 类 号：O431[机械工程—光学工程]