华东师范大学学报（自然科学版） ›› 2023, Vol. 2023 ›› Issue (4): 101-108.doi: 10.3969/j.issn.1000-5641.2023.04.011

• 物理学与电子学 • 上一篇    下一篇

退相干演化对Jaynes-Cummings模型影响的考察

黄艺漫, 马雷*()   

  1. 华东师范大学 物理与电子科学学院, 上海　200241
  • 收稿日期:2022-04-25 出版日期:2023-07-25 发布日期:2023-07-25
  • 通讯作者: 马雷 E-mail:lma@phy.ecnu.edu.cn
  • 基金资助:
    华东师范大学“幸福之花”基金先导项目 (2020ECNU-XFZH005)

Examination of the effect of decoherence evolution on Jaynes-Cummings model

Yiman HUANG, Lei MA*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China
  • Received:2022-04-25 Online:2023-07-25 Published:2023-07-25
  • Contact: Lei MA E-mail:lma@phy.ecnu.edu.cn

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摘要：

使用混态演化的Kraus求和方法, 考虑在退极化模式下, 基于Jaynes-Cummings 模型设定初态, 对退相干时间演化后末态的保真度与von Neumann熵的变化进行了讨论分析. 结果表明, 存在退相干演化的量子态保真度会随时间发生衰减振荡至稳定, 而von Neumann熵会随时间发生振幅减小的振荡变化.

关键词: 退相干, Jaynes-Cummings模型, Kraus求和, 保真度, von Neumann 熵

Abstract:

The Kraus operator-sum representation method for mixed-state evolution was used to analyze the change in the fidelity and von Neumann entropy of the final state after decoherent time evolution. The analysis was based on the Jaynes-Cummings model for the initial state set in the depolarization mode. The results show that the fidelity of the quantum state undergoing decoherent evolution exhibits decaying oscillations with time until it becomes stable, while the von Neumann entropy exhibits oscillations of decreasing amplitude with time.

Key words: decoherence, Jaynes-Cummings model, Kraus operator-sum representation, fidelity, von Neumann entropy

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