相位退相干对多光子过程中两原子纠缠的影响

J4 ›› 2011, Vol. 28 ›› Issue (4): 439-445.

相位退相干对多光子过程中两原子纠缠的影响

张冬霞¹,萨楚尔夫^1，2,牧其尔¹

1内蒙古师范大学物理与电子信息学院，内蒙古呼和浩特 010022；
2内蒙古师范大学图书馆，内蒙古呼和浩特 010022

收稿日期:2010-09-13 修回日期:2010-11-07 出版日期:2011-07-28 发布日期:2011-07-06
通讯作者: 萨楚尔夫(1962-)，蒙古族，博士，教授，图书馆馆长，主要从事量子光学的研究。 E-mail:Sacrf@imnu.edu.cn.
作者简介:张冬霞(1984-)，女，研究生，主要从事量子光学研究。
基金资助:
国家自然科学基金资助项目(60467002)；内蒙古自然科学基金资助项目(2009MS0112)；内蒙古高等学校科研基金项目(NJ03038)；内蒙古师范大学研究生科研基金项目（CXJJS10036）

Influence of phase decoherence on entanglement of two atoms in multiphoton process

ZHANG Dongxia¹, Sachuerfu^1,2, Muqier¹

1 College of Physics and Electronic Information, Inner Mongolia Normal University, Huhhot 010022, China；
2 Library of Inner Mongolia Normal University, Huhhot 010022, China

Received:2010-09-13 Revised:2010-11-07 Published:2011-07-28 Online:2011-07-06

摘要/Abstract

摘要：

利用全量子理论及部分转置矩阵负本征值的方法，研究了存在相位退相干时多光子T-C模型中两个二能级原子与数态光场相互作用系统中两原子的纠缠演化特性。讨论了相位退相干系数、原子间偶极—偶极相互作用系数、跃迁光子数对原子间纠缠演化特性的影响。结果表明：相位退相干因子并不能完全破坏两原子间的相干性，而是衰减了原子间纠缠度的振荡幅度。随着偶极相互作用系数的增大和跃迁光子数的增多，两原子最终处于纠缠度值较稳定的纠缠态；两纠缠原子的相干性越好，两原子越容易达到纠缠度值较大且稳定的纠缠态。

关键词: 量子光学, 纠缠特性, 部分转置矩阵负本征值, 相位退相干因子

Abstract:

By means of the quantum theory and negative eigenvalues of the partial transposition, the properties of entanglement evolution in the system of two two-level atoms coupled to a light field in the Fock state are investigated in the presence of phase decoherence in the multiphoton Tavis-Cumming Model. The influences of the phase decoherence coefficient, the dipole-dipole coupling intensity and the number of the transitional photons on the properties of the entanglement evolution between two atoms have been discussed. The results show that the phase decoherence doesn’t destroy coherence completely but attenuates oscillated amplitude of the entanglement degree between two entangled atoms, then the entanglement degree will quickly become a constant. With the increasing of the phase decoherence coefficient and the number of the transitional photons, the time for the two entangled atoms that approach the state in which there is a stable entanglement degree will be shortened gradually. The bigger the dipole interaction between two atoms，the better the coherences between two atoms. Thus the larger value of entanglement degree between two entangled atoms could be obtained and the state in which two entangled atoms are is more stable in a relatively short time.

Key words: quantum optics, entangled characteristic, negative eigenvalues of partial transposition, phase decoherence

中图分类号:

O431.2

张冬霞萨楚尔夫牧其尔. 相位退相干对多光子过程中两原子纠缠的影响[J]. J4, 2011, 28(4): 439-445.

ZHANG Dongxia, Sachuerfu, Muqier. Influence of phase decoherence on entanglement of two atoms in multiphoton process[J]. J4, 2011, 28(4): 439-445.

参考文献

[1] L.Mazzola, S. Maniscalco, J. Piilo, K.-A.Suominen and B. M. Garraway. Sudden death and
sudden birth of entanglement in common structured reservoirs [J]. Phys. Rev. A, 2009, 79:
042302.
[2] Z.Ficek, R.Tanas. Delayed sudden birth of entanglement [J]. Phys. Rev. A, 2008, 77: 054301.
[3] Zhang YingJie, Man ZhongXiao, Zou XuBo, Yun-Jie Xia and Guang-Can Guo. Dynamics of
multipartite entanglement in the non-Markovian environments [J]. Phys. B: At. Mol. Opt.
Phys, 2010, 43:045502.
[4] Boto A N, Kok P, Abrms D S, et al. Quantum interferometric Optical Lithography Exploiting
Entanglement to Beat the Diffraction Limit [J].Phys Rev Lett.2000, 85:2733-2736.
[5] Zou Hong-mei, Fang Mao-fa. Entanglement dynamics of two entangled two-level atoms in the
vacuum field [J]. Chinese Journal of Quantum Electronics(量子电子学报), 2007, 24(4): 480-484
(in Chinese).
[6] Liu Tang-kun, Wang Ji-suo, Zhan Ming-sheng. Squeezing properties in a system of entangled
atoms interacting with optical field[J].Chinese Journal of Quantum Electronics (量子电子学
报), 2005, 22(3): 396-401 (in Chinese).
[7] Huang Wan-Xia, Wang Mao-sheng, Wang Qin-mou. Time evolution of two-atom entanglement in
Tavis-Cummings model[J].Chinese Journal of Quantum Electronics (量子电子学报),2007,24(3): 329-
334 (in Chinese).
[8] G J Milburn. Intrinsic decoherence in quantum mechanics [J]. Phys. Rev. A, 1991, 44:5401.
[9] Tan Xia, Zhang Chengqiang, Xia Yunjie. Quantum properties of atom and two-mode field with
intrinsic decoherence[J].Chinese Journal of Quantum Electronics(量子电子学报), 2007, 24(1):
63-67(in Chinese).
[10] Tan Xia, Zhang Chengqiang. Influence of intrinsic decoherence on the quantum statistical
properties of Light field [J]. Chinese Journal of Quantum Electronics(量子电子学报), 2008, 25
(3): 340-345(in Chinese).
[11] Cui Yinghua, Sachuerfu, YANG lisen, GONG Yanli.The field entropy evolution of the binomial
optical field interacting with the atom under instrinsic decoherece condition [J]. Acta
Photonica Sinica(光子学报), 2009, 38(4): 971-974.
[12] LI S B, XU J B. Stationary state entanglement of interacting of the qubit and thermal field
with Phase decoherence [J]. Phys. Lett .A, 2003, 313: 175 -181.
[13] Zhang Yingjie, Zhou Yuan, Xia Yunjie.The entanglement character of two entangled atoms in
multiphoton Tavis-Cummings model [J]. Acta Phys Sin (物理学报), 2008, 57(1): 21-27.
[14] Shan ChuanJia, Cheng Weiwen, Liu Tangkun et al..Entanglement Dynamics and Bell Violations
of Two Atoms in Tavis Cummings model [J]. Commun.Theor.Phys. (Beijing, China) 2008, 49.1505–
1514.
[15] Gardiner C W,Zoller P. Quantum Noise[M]. Berlin:Springer—Verlag ,2000:365—369.
[16] Peng J S, Li G X. Introduction of Modern Quantum Optics [M].Beijing: Science Press, 1996,
141-165 (in Chinese).
[17] S B Li and J B Xu, Quantum Entanglement of Two atoms inside an Optical Cavity [J].Chin
Phys. Lett.2003, 20 985.
[18] Lee J Y,Kim MS. Entanglement teleportation via Werner states [J]. Phys Rev Lett.2000, 84:
4236-4239.