%0 Journal Article
%T A new class of quantum states generated by m-fold application of Bogoliubov''s transformation<br>A new class of quantum states generated by m-fold application of Bogoliubov＇s transformation
%A Wu Wei
%A Wu Ling-An
%A Xin Zong-Zheng
%A <br>吴炜
%A 吴令安
%A 辛宗政
%J 中国物理 B
%D 2004
%I 
%X By applying higher powers of the Bogoliubov transformation operator b^{\dagger }=ν^*a+μ^*a^{\dagger } to the two-photon coherent states (or minimum uncertainty squeezed states) we construct a new type of quantum state which we call the generalized excited two-photon coherent states. Analytic expressions for the quantum statistical properties are derived, and through numerical computation the phase space quasi-probability distributions are found. These states can exhibit highly nonclassical behaviour depending on the degree of excitation m and other parameters. For particular values of two parameters λ and ρ, these generalized states reduce to other classes of coherent states formerly reported. Our theory thus presents a much broader approach to these types of quantum states.
%K generalized excited two-photon coherent states
%K pseudo-creation operator
%K nonclassical statistical properties<br>受激双光子相干态
%K 非经典统计性质
%K 量子光学
%K 量子态
%K Bogoliubov转换算子
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=1592F82E2DE101AF4B39E07583DEC9FC&yid=D0E58B75BFD8E51C&vid=FC0714F8D2EB605D&iid=5D311CA918CA9A03&sid=3ED1EAB217774597&eid=207818BDA03879A7&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=41