%0 Journal Article
%T Nonlinear Jaynes-Cummings model of a trapped ion and the evolution of the ion population inversion<br>囚禁离子的非线性Jaynes-Cummings模型及其布居数反转演化
%A Wang Zhong-Qing
%A Duan Chang-Kui
%A An Guang-Lei
%A <br>汪仲清
%A 段昌奎
%A 安广雷
%J 物理学报
%D 2006
%I 
%X Starting from the Jaynes-Cummings (J-C) model describing the interaction of a trapped ion with a standing-wave laser field, we derive the interaction Hamiltonian on the nonlinear J-C model of the trapped ion excitated resonantly with 1-quantum vibrational mode. After solving the time-dependent states of this model, we study the evolution of population inversion for the ion numerically. It is shown that the period of the quantum collapse and revival of the population inversionis related with the Lamb-Dick parameter and the position of the ion in the standing-wave laser field. With the increasing of the parameter, it will decrease the period of the collapse and revival. When moving the ion from the node of the standing-wave laser to the antinode, the period of the collapse and revival becomes longer.
%K standing-wave laser field
%K trapped ion
%K nonlinear J-C model
%K Lamb-Dick parameter<br>驻波激光场
%K 囚禁离子
%K 非线性J-C模型
%K Lamb-Dick参数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=5DC92A4B8B956B18&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=DF92D298D3FF1E6E&sid=1F5089A1AD157334&eid=10882DAB7A65860D&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=20