一种推广的含时Jaynes-Cummings模型中的几何相因子  

Geometric phase factors in a generalized time-dependent Jaynes-Cummings model

作　　者：于肇贤[1] 焦志勇[2] 

机构地区：[1]北京信息科技大学理学院,北京100192 [2]中国石油大学(华东)物理科学与技术学院,东营257061

出　　处：《北京信息科技大学学报（自然科学版）》2009年第2期45-47,共3页Journal of Beijing Information Science and Technology University

基　　金：北京市自然科学基金资助项目(1072010)

摘　　要：利用Lewis-Riesenfeld不变量理论,研究了一种推广的含时Jaynes-Cummings模型中的动力学相因子和几何相因子。发现在循环条件下,系统中的几何相因子与电磁场的频率、原子和场的耦合系数、原子能级差均无关。这表明几何相因子具有纯几何特征和拓扑特征,表示厄米线丛上的和乐。By using the Lewis-Riesenfeld invariant theory, we study the dynamical and geometric phases factors in a generalized time-dependent Jaynes-Cummings model. It is found that the geometric phases factor in a cycle case have nothing to do with the frequency of the electromagnetic wave, the coupling strength between the atom and the light field, and the energy difference between two levels of the atom. It is apparent that the geometric phase factors have pure geometric and topological characteristics, which shows that they represent the holonomy in the Hermitian linear bundle.

关 键 词：几何相因子 Jaynes—Cummings模型 Lewis—Riesenfeld不变量理论 

分 类 号：O413.1[理学—理论物理]