Open AccessOne- and two-mode successively squeezed state and its statistical properties
Author(s) -
Hao Yuan,
Xue-Xiang Xu
Publication year - 2012
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.61.064205
Subject(s) - squeezed coherent state , mode (computer interface) , operator (biology) , physics , wigner distribution function , state (computer science) , product (mathematics) , transformation (genetics) , function (biology) , expression (computer science) , coherent states , quantum mechanics , quantum , mathematics , computer science , algorithm , biochemistry , chemistry , geometry , repressor , evolutionary biology , biology , transcription factor , gene , programming language , operating system
One- and two-mode successively squeezed state, obtained through re-squeezing two single mode squeezed states by the two-mode squeezing operator, is studied in terms of the technique of integration within an ordered product (IWOP) of operators. We first derive the normally ordered form of this one- and two-mode successively squeezing operator, and then investigate the quantum statistical properties of the corresponding squeezed state. Particularly, we use the Weyl ordering invariance under a similar transformation to derive the analytical expression of its Wigner function, which seems very easy and concise. Finally, the experimental generation of one- and two-mode successively squeezed state is also proposed simply.