囚禁离子在磁-光场作用下的量子动力学  

Quantum dynamics of a trapped ion in magneto-optical field

作　　者：张侃 韩玉龙 孙金芳 程军 ZHANG Kan;HAN Yulong;SUN Jinfang;CHENG Jun(Department of Fundamental Education, Anhui Institute of Information Technology, Wuhu 241002, China)

机构地区：[1]安徽信息工程学院基础教学部,安徽芜湖241002

出　　处：《量子电子学报》2018年第3期313-319,共7页Chinese Journal of Quantum Electronics

基　　金：安徽省高校自然科学重点研究项目;KJ2016A070;KJ2016A073~~

摘　　要：为研究磁场对三能级囚禁离子量子动力学的影响,严格求解了单个三能级囚禁离子在磁-光场作用下的Jaynes-Cummings模型,对囚禁离子的平均振动量子数和离子振动态的压缩效应进行了数值分析.结果表明:平均振动量子数的时间演化显示出与二能级Jaynes-Cummings模型相似的塌缩-回复特征,且磁场越强回复周期也越长;在强磁场耦合情形下,磁场能显著增强离子振动态的压缩效应;离子初始处于激发叠加态时可观测到最大的振幅压缩。In order to investigate the influence of magnetic field on quantum dynamics of a three-level trapped ion, the Jaynes-Cummings model of a single three-level trapped ion in magneto-optical field is solved exactly.The mean vibrational quantum number of the trapped ions and squeezing effect of ion vibrational state are numerically analyzed. Results show that time evolution of the mean vibrational quantum number displays the collapse-revival characteristics which is similar to those in two-level Jaynes-Cummings model, and the stronger the magnetic field is, the longer the revival period will be. In the case of strong magnetic field coupling, the magnetic field can significantly enhance squeezing effect of ion vibration state. The maximum amplitude squeezing can be observed when the ions are initially excited in the superposition state.

关 键 词：量子光学 磁-光配置 塌缩-回复 压缩振动态 

分 类 号：O431.2[机械工程—光学工程]