二项式光场与Ⅴ型三能级原子相互作用系统量子特性的精确解  

Exact solution of quantum properties of system of binomial light field interacting with V-type three-level atom

作　　者：丛红璐[1] 王林杰[1] 王健莹 任学藻[2] CONG Honglu;WANG Linjie;WANG Jianying;REN Xuezao(Haibin College,Beijing Jiaotong University,Huanghua 061199,China;School of Science,Southwest University of Science and Technology,Mianyang 621010,China)

机构地区：[1]北京交通大学海滨学院,河北黄骅061199 [2]西南科技大学理学院,四川绵阳621010

出　　处：《量子电子学报》2020年第3期342-348,共7页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金(11804136);河北省高等学校科学技术研究科技指导项目(Z2020109);河北省高等教育教学改革与实践项目(2018GJJG649)。

摘　　要：在非旋波近似下,对二项式态光场与V型三能级原子相互作用系统的布居几率和量子纠缠进行了精确求解。研究了二项式态光场参数η对原子布居几率和量子纠缠的影响,并讨论了初始时刻原子能级的叠加对量子纠缠的影响。结果表明:随着η的增大,原子布居几率塌缩回复的周期逐渐增大,当η较大时,布居几率塌缩区与回复区出现了混沌现象。此外,随着η的增大,量子纠缠演化的周期性逐渐消失,当原子初始时刻处于激发态时,纠缠初始阶段数值及演化平均值均逐渐增大;而当原子初始时刻处于叠加态时,初始阶段纠缠的数值会逐渐降低。原子布居几率以及光场与原子之间的纠缠演化曲线在非旋波近似下均呈现小锯齿状振荡。The atomic population and quantum entanglement in the system of binomial light field interacting with V-type three-level atom are calculated exactly without rotating wave approximation.The influence of the binomial light field parameter η on atomic population and quantum entanglement is studied,and the influence of the superposition of atomic energy levels at the initial time on the quantum entanglement is also discussed.Results show that the collapse-revival period of atomic population increases gradually with the increase of η,and the collapse-revival region manifests chaotic characters when η is big enough.In addition,with the increase of η,the periodicity of quantum entanglement evolution gradually disappears,and when the atom is in the excited state at the initial time,the entanglement value at the initial stage and the evolution average value increase gradually,while when the atom is initially in the superposition state,the degree of entanglement decreases gradually.It is also shown that under the non-rotating wave approximation,both of the atomic population probability and the evolution curve of the entanglement between the light field and atom show small sawtooth oscillation.

关 键 词：量子光学 原子布居几率 量子纠缠 非旋波近似 三能级原子 

分 类 号：O431.2[机械工程—光学工程]