%0 Journal Article
%T An explicit analytical solution of the Schr?dinger equation for a detuned quantum frequency conversion system<br>失谐量子频率转换系统薛定谔方程的显式解析解
%A Li Jiang-Fan
%A Shan Shu-Min
%A Yang Jian-Kun
%A Jiang Zong-Fu
%A <br>厉江帆
%A 单树民
%A 杨建坤
%A 姜宗福
%J 物理学报
%D 2007
%I 
%X The time-dependent invariant of a quantum frequency conversion system in an optical cavity is found from the simple observation that the dynamical evolution of a sum-frequency generation process preserves the total number of the idler photons and the signal photons involved in the process. By using this invariant and the Lewis-Riesenfeld quantum invariant approach, the Schrt~dinger equation for the coupled system of the two quantized modes of the electromagnetic field is solved under detuned condition. The explicitly analytical formulae of the quantum states and the evolution operators of the system are obtained. It should be useful for further studies on the various quantum properties of the quantum system.
%K quantum frequency conversion
%K Schrodinger equation
%K analytical solution
%K Lewis-Riesenfeld quantum invariant approach<br>量子频率转换
%K 薛定谔方程
%K 解析解
%K Lewis-Riesenfeld不变量方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=D25EFBE5449636BA&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=F3090AE9B60B7ED1&sid=605775B24B07E571&eid=670FA6B22A5B8448&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=32