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

量子电子学报 ›› 2020, Vol. 37 ›› Issue (3): 342-348.

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

丛红璐1, 王林杰1，王健莹1，任学藻2

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

收稿日期:2020-03-16 修回日期:2020-03-26 出版日期:2020-05-28 发布日期:2020-05-28
通讯作者: 联系方式 E-mail:conghonglu@163.com
作者简介:丛红璐（1984-），辽宁锦州人，硕士，副教授，主要从事量子光学方面的研究。E-mail：conghonglu@163.com
基金资助:
Supported by National Natural Science Foundation of China(国家自然科学基金，11804136)，Higher Education Science and Technology Research Technology Guidance Project in Hebei Province （河北省高等学校科学技术研究科技指导项目），Higher Education Reform and Practice Project in Hebei Province(河北省高等教育教学改革与实践项目, 2018GJJG649）

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

CONG Honglu1, WANG Linjie1, WANG Jianying1, REN Xuezao2

1 Haibin College, Beijing Jiaotong University, Huanghua 061199, China; 2 School of Science, Southwest University of Science and Technology, Mianyang 621010, China

Received:2020-03-16 Revised:2020-03-26 Published:2020-05-28 Online:2020-05-28

摘要/Abstract

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：随着的增大，原子布居几率塌缩回复的周期逐渐增大，当较大时，布居几率塌缩区与回复区出现了混沌现象。此外，随着的增大，量子纠缠演化的周期性逐渐消失，表现为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。

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

Abstract: 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 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. The results show that the collapse-revival period of atomic population increases gradually with the increase of , and the collapse-revival region manifests chaotic characters when is big enough. In addition, with the increase of , the periodicity of quantum entanglement evolution gradually disappears, which is presented as 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. And it is also shown that in 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.

Key words: quantum optics, atomic population, quantum entanglement, non-rotating wave approximation, three-level atom

中图分类号:

O431.2

丛红璐, 王林杰, 王健莹, 任学藻. 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[J]. 量子电子学报, 2020, 37(3): 342-348.

CONG Honglu, WANG Linjie, WANG Jianying, REN Xuezao . Exact solution of the quantum properties in the system of binomial light field interacting with V-type three-level atom[J]. Chinese Journal of Quantum Electronics, 2020, 37(3): 342-348.

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