首页 > 论文 > 量子电子学报 > 29卷 > 4期(pp:441-447)

Stark位移对混态J-C模型中熵和纠缠的影响

Influence of Stark shift on entropy and entanglement in J-C model with mixed states

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

摘要

考虑一个二能级原子与单模热光场经由双光子过程耦合,采用量子约化熵研究了 原子和场的约化熵变化规律, 用共生纠缠度(Concurrence)研究了原子与场之间的纠缠演化。借助于数值计算方法,详细分析了在混态J-C模型中, Stark位移和平均光子数对约化熵变和纠缠的影响。结果表明在Stark位移影响下,原子和光场的约化熵变化量均减小。 选择适当的原子初态,可以使得原子的约化熵和光场的约化熵发生交换。此外,考虑Stark位移时, 原子与光场之间纠缠的最小值增大,原子与光场不再出现退纠缠态。

Abstract

A two-level atom coupling with a single-mode thermal field through two-photon processes is considered. The reduced entropy change of the atom and field was studied by using quantum reduced entropy, and entanglement between the atom and field was measured by using concurrence. By means of numerical computation method, the effect of the Stark shift and mean photon number in J-C model with mixed states on the reduced entropy change and entanglement was investigated. The results show that reduced entropy changes of the atom and field decrease under the influence of Stark shift. When the initial parameters are suitable, the complete exchange between the atomic and field reduced entropy occurs. In addition, the minimum values of the entanglement raise in the presence of Stark shift, which means that the atom is no longer disentangled from the field.

投稿润色
补充资料

中图分类号:O431.2

DOI:10.3969/j.issn.1007-5461. 2012.04.010

所属栏目:量子光学

基金项目:国家自然科学基金青年基金(10905028)、河南省科技 计划(102300410050)资助项目

收稿日期:2012-02-07

修改稿日期:2012-03-14

网络出版日期:--

作者单位    点击查看

胡要花:洛阳师范学院物理与电子信息学院, 河南 洛阳 471022

联系人作者:胡要花(huyaohua1@sina.com)

备注:胡要花(1979-), 女,博士,讲师,主要从事量子光学和量子信息处理方面的研究。

【1】Briegel H J, et al. Quantum repeaters: the role of imperfect local operations in quantum communication [J]. Phys. Rev. Lett., 1998, 81: 5932-5935.

【2】Chotorlishvili L, et al. Two-photon-driven nonlinear dynamics and entanglement of an atom in a nonuniform cavity [J]. Phys. Rev. A, 2011, 84: 013825.

【3】Wu Ying, Yang Xiaoxue. Strong-coupling theory of periodically driven two-level systems [J]. Phys. Rev. Lett., 2007, 98: 013601.

【4】Wu Ying, Yang Xiaoxue. Jaynes-Cummings model for a trapped ion in any position of a standing wave [J]. Phys. Rev. Lett., 1997, 78: 3086.

【5】Fang Maofang, et al. Influence of the Stark shift on the evolution of field entropy and entanglement in two-photon processes [J]. Phys. Lett. A, 1996, 210: 11-20.

【6】Tang Zhixiang, Chen Qiucheng, Zhang Dengyu. Elimination of the two-level atom’s decoherence of two-photon Jaynes-Cummings mode with Stark shift [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2004, 21(6): 819-823 (in Chinese).

【7】Phoenix S J D, et al. Fluctuations and entropy in models of quantum optical resonance [J]. Ann. Phys. (N.Y.), 1988, 18(2): 381-407.

【8】Boukobza E, et al. Entropy exchange and entanglement in the Jaynes-Cummings model [J]. Phys. Rev. A, 2005, 71(6): 063821.

【9】Zhang Jian, Shao Bin, Zou Jian. Entropy exchange and entanglement in superconducting charge qubit inside a resonant cavity with intrinsic decoherence [J]. Commun. Theor. Phys., 2008, 49(6): 1463-1467.

【10】Hünkar K. Entropy correlations and entanglement of a superconducting charge qubit in a resonant cavity in the presence of noise [J]. Commun. Theor. Phys., 2011, 5(1): 139-143.

【11】Zhang Yuqing, Tan Lei, Zhu Zhonghua, et al. Partial entropy change and entanglement in the mixed state for a Jaynes-Cummings model with Kerr medium [J]. Chin. Phys. B, 2010, 19(2): 024210.

【12】Guo Jinliang, Sun Yubao, Li Zaidong. Entropy exchange and entanglement in Jaynes-Cummings model with Kerr-like medium and intensity-depend coupling [J]. Opt. Commun., 2011, 284: 896-901.

【13】Li Chunxian, Jin Lijuan, Wang Chengzhi. Thermal entanglement, mixture and quantum communication in a spin chain [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2010, 27(1): 52-5(in Chinese).

【14】Yu T, Eberly J H. Finite-time disentanglement via spontaneous emission [J]. Phys. Rev. Lett., 2004, 93: 140404.

【15】Abdel-Aty M, et al. Sudden death and long-lived entanglement of two trapped ions [J]. Phys. Lett. A, 2007, 369: 372-376.

【16】Fan Zhaoyang, Wang Zhongjie. Influence of laser intensity fluctuations on entanglement of two trapped ions [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2011, 28(5): 577-582 (in Chinese).

【17】He Daiguo, Dong Yuli, Fang Jianxing, et al. Entangled coherent states: generation [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2011, 28(4): 407-413 (in Chinese).

【18】Wang Zhongchun, Shen Fahua, Liu Chenglin. Sudden death and sudden birth of atomic entanglement in double Jaynes-Cummings model composed of two coupled cavities [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2011, 28(1): 65-72 (in Chinese).

【19】Yang Fei, Cong Shuang. Entanglement detection and measurement of quantum systems [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2011, 28(4): 391-401 (in Chinese).

【20】Nasreen, et al. Effect of the dynamic Stark shift on dipole squeezing in two-photon processes [J]. Phys. Rev. A, 1992, 46: 4161-4166.

【21】Wu Ying. Simple algebraic method to solve a coupled-channel cavity QED model [J]. Phys. Rev. A, 1996, 54: 4534.

【22】Yang Xiaoxue, Wu Ying, Li Yuanjie. Unified and standardized procedure to solve various nonlinear Jaynes-Cummings models [J]. Phys. Rev. A, 1997, 55: 4545.

【23】Bose S, et al. Subsystem purity as an enforcer of entanglement [J]. Phys. Rev. Lett., 2001, 87(5): 050401.

引用该论文

HU Yao-hua. Influence of Stark shift on entropy and entanglement in J-C model with mixed states[J]. Chinese Journal of Quantum Electronics, 2012, 29(4): 441-447

胡要花. Stark位移对混态J-C模型中熵和纠缠的影响[J]. 量子电子学报, 2012, 29(4): 441-447

被引情况

【1】帕肉克·帕尔哈提,艾合买提·阿不力孜,麦麦提依明·吐孙,王飞. 单Jaynes-Cummings原子与孤立原子系统中的各种量子关联. 量子电子学报, 2016, 33(2): 200-207

【2】帕提古丽·马木提,艾合买提·阿不力孜,麦麦提依明·吐孙,帕肉克·帕尔哈提,买买提·阿不力孜. 双Jaynes-Cummings耦合模型几何量子失协研究. 量子电子学报, 2016, 33(6): 737-742

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF