驻波场中囚禁离子的Wigner-Yanase偏态信息

摘要/Abstract

摘要： 研究了驻波场中囚禁离子的Wigner-Yanase偏态信息并给出了其恢复周期，发现此周期与离子布居数反转的恢复时间相同。对解析解与数值模拟进行分析，发现Wigner-Yanase偏态信息的恢复时间随Lamb-Dicke参数的增大而减小，随离子平均振动声子数的增大而增大；当离子质心从驻波场波节移向波腹时, Wigner-Yanase偏态信息的恢复时间变长。从理论上证明了囚禁离子振动态处于相干态时离子初始偏态信息恒为1/2，分析了离子与驻波激光场之间量子纠缠的特性。

关键词: 量子光学, Wigner-Yanase偏态信息, 数值模拟, 囚禁离子, Lamb-Dicke参数, 声子场

Abstract: The Wigner-Yanase skew information of trapped ions in a standing-wave field is investigated and the revival period is also given. It’s found that the period is the same as revival time of ion population inversion. The analytical solution and numerical simulation are analyzed. The revival period of Wigner-Yanase skew information is found to decrease with the increasing of Lamb-Dicke parameter, and increase with the increasing of the ion mean phonon number. The revival time will be longer when the ion mass center is moved from wave node to anti-node. It is theoretically proved that the initial state information of the ions is always 1/2 when vibration state of trapped ions is in a coherent state. The characteristics of quantum entanglement between the ion and standing wave laser field are analyzed.

Key words: quantum optics, Wigner-Yanase skew information, numerical simulation, trapped ion, Lamb-Dicke parameter, phonon field

白志达,叶芳,周青春. 驻波场中囚禁离子的Wigner-Yanase偏态信息[J]. 量子电子学报.

BAI Zhida, Ye Fang, ZHOU Qingchun. Wigner-Yanase skew information of trapped ions in a standing-wave field[J]. Chinese Journal of Quantum Electronics.

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