Generalized photon-added coherent state and its quantum statistical properties  

作　　者：袁洪春 徐学翔 范洪义 

机构地区：[1]Department of Physics, Shanghai Jiao Tong University [2]College of Physics and Communication Electronics, Jiangxi Normal University

出　　处：《Chinese Physics B》2010年第10期296-304,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174)

摘　　要：In this paper, we propose a class of the generalized photon-added coherent states （GPACSs） obtained by repeatedly operating the combination of Bosonie creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the explicit expressions of its statistical properties such as photocount distribution, Wigner function and tomogram and investigate their behaviour as the photon-added number varies graphically. It is found that GPACS is a kind of nonclassical state since Wigner function exhibits the negativity by increasing the photon-added number.In this paper, we propose a class of the generalized photon-added coherent states （GPACSs） obtained by repeatedly operating the combination of Bosonie creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the explicit expressions of its statistical properties such as photocount distribution, Wigner function and tomogram and investigate their behaviour as the photon-added number varies graphically. It is found that GPACS is a kind of nonclassical state since Wigner function exhibits the negativity by increasing the photon-added number.

关 键 词：generalized photon-added coherent state photocount distribution Wigner function TOMOGRAM 

分 类 号：O431.2[机械工程—光学工程]