二能级原子与单模光场相互作用公式推导  

Formula derivation of the interaction between a two-level atom and single mode optical field

作　　者：程博文 公丕锋[1] 张金锋[1] 杨远贵[1] CHENG Bowen;GONG Pifeng;ZHANG Jinfeng;YANG Yuangui(Department of Physics and Electronic Information,Huaibei Normal University,Huaibei 235000,China)

机构地区：[1]淮北师范大学物理与电子信息学院,安徽淮北235000

出　　处：《高师理科学刊》2023年第12期55-59,共5页Journal of Science of Teachers＇College and University

基　　金：安徽省高等学校科学研究重大项目(2022AH040068);安徽省大学生创新创业项目(S2022103730104);安徽省教学示范课理论力学项目(2020SJJXSFK2143);安徽省课程思政建设研究项目(2020kcszyjxm215)。

摘　　要：基于单个二能级原子与单模光场的相互作用,忽略掉能量不守恒项,推导出Jaynes-Cummings模型的哈密顿量.用几率幅方法得到了t时刻场具有n个光子、原子分别处在态a和态b的概率表达式,通过对原子态求迹,得到在t时刻场具有n个光子的概率p(n),并给出相干态下原子布居数W(t)演化特性.Hamiltonian of Jaynes-Cummings model is derived through the interaction of the a single two-level atom with single mode optical field and neglecting the terms which energy is not conserved.And the expressions of the probabilities that,at time t,the field has n photons and the atom is in levels a and b vector of the model is obtained through the probability amplitude method.The probability p(n)that there are n photons in the field is obtained by taking the trace over the atomic state.And the time evolution of the population inversionW(t)is yielded also.

关 键 词：JAYNES-CUMMINGS模型 二能级原子 单模光场 

分 类 号：O483[理学—固体物理]