Open AccessTransform relations between squeezed coherent state representation and quantum phase space distribution functions
Author(s) -
Xiaoyan Liang,
YuChong Tai,
Cheng Jian-Min,
Zhai Long-Hua,
Ye-Jun Xu
Publication year - 2015
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.64.024207
Subject(s) - coherent states , squeezed coherent state , wigner distribution function , representation (politics) , operator (biology) , quantum mechanics , physics , phase space , quantum optics , state (computer science) , function (biology) , quantum state , field (mathematics) , statistical physics , quantum , mathematics , pure mathematics , algorithm , biochemistry , chemistry , repressor , evolutionary biology , politics , biology , political science , transcription factor , law , gene
A new operator representation, called squeezed coherent state representation, is introduced since Husimi operator has the form of squeezed coherent state. We fisrt introduce its specific integral expression. When κ = 1, this representation is reduced to the usual P function. As an example, we calculate the squeezed coherent state representation for thermal field to illustrate a difference between P function and the squeezed coherent state representation. Especially, in order to better apply this representation to quantum optics, we reveal the integral transformations between the squeezed coherent state representation, respectively, and the following three functions: Wigner function, Q function, and Husimi function.