囚禁离子在磁-光场作用下的量子动力学

摘要/Abstract

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。

关键词: 量子光学, 磁-光配置, 塌缩-回复, 压缩振动态

Abstract: 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.

Key words: quantum optics, magneto-optical configuration, collapse-revival, squeezing vibrational state quantum optics, magneto-optical configuration, collapse-revival, squeezing vibrational state

张侃，韩玉龙，孙金芳，程军. 囚禁离子在磁-光场作用下的量子动力学[J]. 量子电子学报.

ZHANG Kan，HAN Yulong，SUN Jinfang，CHENG Jun. Quantum dynamics of a trapped ion in magneto-optical field[J]. Chinese Journal of Quantum Electronics.

参考文献

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