Photon number cumulant expansion and generating function for photon added-and subtracted-two-mode squeezed states  

作　　者：卢道明 范洪义 

机构地区：[1]College of Mechanic and Electronic Engineering,Wuyishan University [2]Department of Material Science and Engineering,University of Science and Technology of China

出　　处：《Chinese Physics B》2014年第2期70-73,共4页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Fujian Province,China (Grant No.2011J01018);the National Natural Science Foundation of China (Grant No.11175113)

摘　　要：For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.

关 键 词：Jacobi polynomial photon number cumulant expansion photon subtracted- and photon added- two-mode squeezed states 

分 类 号：O431.2[机械工程—光学工程]