Open AccessHIGHER-ORDER SQUEEZING AND QUASIPROBABILITY DISTRIBUTION FUNCTIONS OF EVEN AND ODD COHERENT STATES
Author(s) -
Xia Yun-Jie,
LI HONG-ZHEN,
GuangCan Guo
Publication year - 1991
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.40.386
Subject(s) - wigner distribution function , coherent states , physics , order (exchange) , squeezed coherent state , gaussian , distribution (mathematics) , quantum mechanics , state (computer science) , mathematical physics , statistical physics , mathematics , mathematical analysis , quantum , finance , algorithm , economics
The higher-order squeezing and quasiprobability distribution function of even and odd coherent states are studied in this paper. The results show that the properties of higher-order squeezing of the two states exclude each other, and characteristic functions and Wigner functions are all not gaussian. Particularly, Wigner functions can not be perseved positive define. Quasiprobability density (QPD) of the two states are neither "elliptic" nor "crescent", but are two-petal-like shape, which shows that squeezing type can not be represented by the QPD figure of a state.