New generalized bipartite coherent-entangled state representation and its application  

作　　者：YU WenJian YUAN HongChun WANG JiSuo 

机构地区：[1]Department of Physics, Liaocheng University, Liaocheng 252059, China [2]College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China [3]Oepartment of Physics, Qufu Normal University, Qufu 273165, China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2011年第12期2155-2159,共5页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.10574060 and 11174114);the Natural Science Foundation of Shandong Province, China (Grant No.ZR2010AQ027);the Research Foundation of Changzhou Institute of Technology (Grant No.YN1007);the Shandong Provincal Higher Educational Science and Technology Program, China (Grant Nos.J09LA07, J10LA15)

摘　　要：The new generalized coherent-entangled state representation |α, p μ,ν is successfully derived via constructing the integration of unity in normally ordered Gaussian operator forms and then decomposing it as projection operators. This is a convenient approach for obtaining new representations. We then prove that |α, p μ,ν has the completeness relation and only partly orthogonal, then discuss how to use a beamsplitter to produce such a state. As its potential application, formulas can be obtained by using the completeness of |α, p μ,ν , which is very important in mathematical physics, especially in quantum optics.The new generalized coherent-entangled state representation ｜α, p μ,ν is successfully derived via constructing the integration of unity in normally ordered Gaussian operator forms and then decomposing it as projection operators. This is a convenient approach for obtaining new representations. We then prove that ｜α, p μ,ν has the completeness relation and only partly orthogonal, then discuss how to use a beamsplitter to produce such a state. As its potential application, formulas can be obtained by using the completeness of ｜α, p μ,ν , which is very important in mathematical physics, especially in quantum optics.

关 键 词：bipartite coherent-entangled state representation Gaussian operator the IWOP technique normally ordered form 

分 类 号：O413.1[理学—理论物理] TN241[理学—物理]