首页 > 论文 > 中国激光 > 39卷 > 6期(pp:618001--1)

单光子和双光子Jaynes-Cummings模型中原子间纠缠突然死亡的研究

Study of Entanglement Sudden Death Between Two Atoms in the One-Photon and Two-Photon Jaynes-Cummings Models

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

摘要

通过计算并发度和线性熵研究了单光子和双光子Jaynes-Cummings模型中两原子系统的纠缠随时间的演化特性,分析了原子初始纠缠度和不同腔场初态对并发度的影响。结果表明,当腔场初始处于|11〉态时,两原子之间的纠缠出现突然死亡现象,纠缠死亡的持续时间依赖于原子初始纠缠度;并且发现两原子和腔场之间在整个时间演化过程中一直保持着纠缠状态。

Abstract

The entanglement dynamics of two atoms in the one-photon and two-photon Jaynes-Cummings models are studied by employing the concurrence and linear entropy. The effect of the initial entanglement degree of two atoms and the initial state of the cavity field on the time evolution of concurrence is analyzed. The results show that the phenomenon of sudden death of entanglement between two atoms happens when the field is initially in the state |11〉. The length of the death time interval is dependent on the initial entanglement degree of two atoms. Moreover, it is found that the atom and the field are entangled in the overall time evolution process.

投稿润色
补充资料

中图分类号:O431.2

DOI:10.3788/cjl201239.0618001

所属栏目:量子光学

责任编辑:李文喆  信息反馈

基金项目:国家自然科学基金(61141007)和江西省教育厅科技项目(GJJ11339,GJJ12137)资助课题。

收稿日期:2012-01-11

修改稿日期:2012-02-13

网络出版日期:--

作者单位    点击查看

廖庆洪:南昌大学电子信息工程系, 江西 南昌 330031
刘晔:南昌大学电子信息工程系, 江西 南昌 330031
贾书磊:南昌大学护理系, 江西 南昌 330031

联系人作者:廖庆洪(nculqh@163.com)

备注:廖庆洪(1982—),男,博士,讲师,主要从事量子光学和量子信息等方面的研究。

【1】M. A. Nielsen, I. L. Chuang. Quantum Computation and Information[M]. Cambridge: Cambridge University Press, 2000

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

【3】M. Yna, T. Yu, J. H. Eberly. Sudden death of entanglement of two Jaynes-Cummings atoms[J]. J. Phys. B: At. Mol. Opt. Phys., 2006, 39(15): S621~S625

【4】Z. Ficek, R. Tanasacute. Dark periods and revivals of entanglement in a two-qubit system[J]. Phys. Rev. A, 2006, 74(2): 024304

【5】Z. Ficek, R. Tanasacute. Delayed sudden birth of entanglement[J]. Phys. Rev. A, 2008, 77(5): 054301

【6】J. H. Huang, S. Y. Zhu. Necessary and sufficient conditions for the entanglement sudden death under amplitude damping and phase damping[J]. Phys. Rev. A, 2007, 76(6): 062322

【7】Z. J. Li, J. Q. Li, Y. H. Jin et al.. Time evolution and transfer of entanglement between an isolated atom and a Jaynes-Cummings atom[J]. J. Phys. B: At. Mol. Opt. Phys., 2007, 40(17): 3401~3411

【8】M. Ikram, F. L. Li, M. S. Zubairy. Disentanglement in a two-qubit system subjected to dissipation environments[J]. Phys. Rev. A, 2007, 75(6): 062336

【9】A. Al-Qasimi, D. F. V. James. Sudden death of entanglement at finite temperature[J]. Phys. Rev. A, 2008, 77(1): 012117

【10】X. Q. Yan. Entanglement sudden death of two atoms successive passing a cavity[J]. Chaos. Soliton. Fract., 2009, 41(4): 1645~1650

【11】L. Chotorlishvili, P. Schwab, Z. Toklikishvili et al.. Entanglement sudden death and influence of the dynamical Stark shift for two Tavis-Cummings atoms[J]. Phys. Lett. A, 2010, 374(15-16): 1642~1647

【12】Han Mei, Zhang Yinjie, Xia Yunjie. Entanglement characteristics of two entangled atoms in classical driven Tavis-Cummings model[J]. Acta Optica Sinica, 2011, 31(4): 0427002
韩美, 张英杰, 夏云杰. 经典驱动Tavis-Cummings模型中原子纠缠特性的研究[J]. 光学学报, 2011, 31(4): 0427002

【13】Sun Chao, Zhang Yingjie, Meng Xiangshui et al.. A study on the pairwise concurrence entanglement in the multipartite open system[J]. Acta Optica Sinica, 2010, 30(12): 3604~3609
孙超, 张英杰, 孟祥水 等. 开放多体系统中共生纠缠的研究[J]. 光学学报, 2010, 30(12): 3604~3609

【14】Lu Daoming. Influences of selective atomic measurement on entanglement properties in a system of atoms interacting with coupled cavities[J]. Acta Optica Sinica, 2011, 31(7): 0727002
卢道明. 原子测量对耦合腔系统中纠缠特性的影响[J]. 光学学报, 2011, 31(7): 0727002

【15】Chen Jing, Guo Yanqing, Shi Xuguang. Study on preparation and characteristics of quantum entanglement in double wells using a spin-1/2 approximation[J]. Acta Optica Sinica, 2011, 31(4): 0427002
陈菁, 郭彦青, 史旭光. 自旋-1/2近似下双势阱中纠缠制备和特性研究[J]. 光学学报, 2011, 31(4): 0427002

【16】Peng Kunchi, Jia Xiaojun, Su Xiaolong et al.. Optical manipulations of quantum states with continuous variables[J]. Acta Optica Sinica, 2011, 31(9): 0900107
彭堃墀, 贾晓军, 苏晓龙 等. 连续变量量子态的光学操控[J]. 光学学报, 2011, 31(9): 0900107

【17】M. Abdel-Aty, H. Moya-Cessa. Sudden death and long-lived entanglement of two trapped ions[J]. Phys. Lett. A, 2007, 369(5-6): 372~376

【18】C. A. Vera. Characterization of dynamical regimes and entanglement sudden death in a microcavity quantum dot system[J]. J. Phys-Condens Mat, 2009, 21(39): 395603

【19】M. Abdel-Aty. Synthesis of maximally entangled mixed states and disentanglement in coupled Josephson charge qubits[J]. Eur. Phys. J. D, 2008, 46(3): 537~543

【20】C. J. Shan, W. W. Cheng, T. K. Liu et al.. Sudden death, birth and stable entanglement in a two-qubit Heisenberg XY spin chain[J]. Chin. Phys. Lett., 2008, 25(9): 3115~3118

【21】T. T. Hu, C. F. Sun, K. Xue. The sudden death of entanglement in constructed Yang-Baxter systems[J]. Quantum Inf. Process, 2010, 9(1): 27~35

【22】M. P. Almeida, F. de Melo, M. Hor-Meyll et al.. Environment-induced sudden death of entanglement[J]. Science, 2007, 316(5824): 579~582

【23】W. K. Wootters. Entanglement of formation of an arbitrary state of two qubits[J]. Phys. Rev. Lett., 1998, 80(10): 2245~2248

【24】T. Yu, J. H. Eberly. Evolution from entanglement to decoherence of bipartite mixed "X" states[J]. Quantum Inf. Comput., 2007, 7(5-6): 459~468

【25】F. A. A. El-orany. Relationship between the linear entropy, the von Neumann entropy and the atomic Wehrl entropy for the Jaynes-Cummings model[J]. 2007, Preprint quant-ph/07054373

【26】W. J. Munro, D. F. V. James, A. G. White et al.. Maximizing the entanglement of two mixed qubits[J]. Phys. Rev. A, 2001, 64(3): 030302

【27】D. W. Berry, B. C. Sanders. Bounds on general entropy measures[J]. J. Phys. A: Math. Gen., 2003, 36(49): 12255~12265

【28】C. E. López, G. Romero, F. Lastra et al.. Sudden birth versus sudden death of entanglement in multipartite systems[J]. Phys. Rev. Lett., 2008, 101(8): 080503

【29】E. Hagley, X. Matre, G. Nogues et al.. Generation of Einstein-Podolsky-Rosen pairs of atoms[J]. Phys. Rev. Lett., 1997, 79(1): 1~5

【30】V. S. Malinovsky, I. R. Sola. Quantum phase control of entanglement[J]. Phys. Rev. Lett., 2004, 93(19): 190502

【31】J. M. Raimond, M. Brune, S. Haroche. Manipulating quantum entanglement with atoms and photons in a cavity[J]. Rev. Mod. Phys., 2001, 73(3): 565~582

引用该论文

Liao Qinghong,Liu Ye,Jia Shulei. Study of Entanglement Sudden Death Between Two Atoms in the One-Photon and Two-Photon Jaynes-Cummings Models[J]. Chinese Journal of Lasers, 2012, 39(6): 0618001

廖庆洪,刘晔,贾书磊. 单光子和双光子Jaynes-Cummings模型中原子间纠缠突然死亡的研究[J]. 中国激光, 2012, 39(6): 0618001

被引情况

【1】冯川,萨楚尔夫,李红星. 多光子Jaynes-Cummings模型中原子与Glauber-Lachs场态相互作用的量子纠缠. 光学学报, 2013, 33(5): 527001--1

【2】胡要花,刘强. 频率变化的热光场对混态J-C模型中熵交换的调控. 光学学报, 2013, 33(12): 1227002--1

【3】郑小兰,张斌. 热库诱导的两比特量子纠缠与量子关联. 光学学报, 2014, 34(1): 127002--1

【4】翟淑琴,杨瑞. I类倍频级联过程中的三色三组份纠缠. 光学学报, 2014, 34(4): 427002--1

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