量子电子学报 ›› 2021, Vol. 38 ›› Issue (6): 855-862.doi: 10.3969/j.issn.1007-5461.2021.06.014

• 量子光学 • 上一篇    下一篇

从 Jaynes-Cummings 模型到 Rabi 模型 稳态纠缠的绝热制备

吕东燕, 邓瑞浩, 周 原∗   

  1. 湖北汽车工业学院理学院, 湖北 十堰 442002
  • 收稿日期:2020-08-18 修回日期:2020-11-21 出版日期:2021-11-28 发布日期:2021-11-28
  • 通讯作者: E-mail: zhouyuan@huat.edu.cn E-mail: E-mail: zhouyuan@huat.edu.cn
  • 作者简介:吕东燕 ( 1980 - ), 女, 山东济宁人, 硕士, 讲师, 主要从事量子光学方面的研究。 E-mail: dongyanlv@163.com
  • 基金资助:
    Supported by National Natural Science Foundation of China (国家自然科学基金, 11774285, 11774282), Natural Science Foundation of Hubei Province (湖北省自然科学基金, 2020CFB748), Research Project of Hubei Education Department (湖北省教育厅科研项目, B2020079)

Adiabatic preparation of steady-state entanglement from Jaynes-Cummings model to Rabi model

LYU Dongyan, DENG Ruihao, ZHOU Yuan ∗   

  1. School of Science, Hubei University of Automotive Technology, Shiyan 442002, China
  • Received:2020-08-18 Revised:2020-11-21 Published:2021-11-28 Online:2021-11-28

摘要: 从弱耦合条件下的量子 Rabi 模型与 Jaynes-Cummings (JC) 模型的物理等价性出发, 比较分析了这两种 模型的旋波近似、本征能量和动力学演化, 并且归纳了在强耦合甚至超强耦合条件下这两种不同模型之间的差 异和联系。借鉴电磁参量放大可以增强原子 - 光子耦合强度的物理思想, 讨论和分析了从弱耦合 JC 模型转变为 强耦合 Rabi 模型的物理图像。数值模拟的结果表明: 基于这两种模型的不同量子基态及其内在关联, 利用绝热 基态转化的理论方案可以实现稳定薛定谔猫态的高效制备。

关键词: 量子光学, 薛定谔猫态, 绝热演化, 量子基态

Abstract: Starting from the physical equivalence between the quantum Rabi model and JaynesCummings (JC) model under weak-coupling condition, rotating wave approximation, eigen energy, and dynamical evolution of the two models are compared and analyzed, and the similarities and differences between the two models under the conditions of strong coupling and even ultra-strong coupling are summarized. Based on the physical principle that electromagnetically parametric amplification can enhance the atom-photon coherent coupling, the corresponding physical image of the transition from weak-coupling JC model to strong-coupling Rabi model is discussed. The numerical simulation results show that based on its difference and inherent relation of the ground states for the two models, the preparation of steady-state Schrodinger cat states can be realized with high e ¨ fficiency by utilizing the proposed adiabatic ground-state transition scheme.

Key words: quantum optics, Schrodinger cat state, adiabatic evolution, quantum ground state

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