Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation

doi:10.1088/1674-1056/19/9/090309

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90309-090309.doi: 10.1088/1674-1056/19/9/090309

Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation

任学藻, 姜道来, 丛红璐, 黎雷

School of Science, Southwest University of Science and Technology, Mianyang 621010, China

收稿日期:2009-09-12 修回日期:2010-01-16 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics(Grant No. 1097602/A06).

Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation

Ren Xue-Zao(任学藻)^†, Jiang Dao-Lai(姜道来), Cong Hong-Lu(丛红璐), and Li Lei(黎雷)

School of Science, Southwest University of Science and Technology, Mianyang 621010, China

Received:2009-09-12 Revised:2010-01-16 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics(Grant No. 1097602/A06).

摘要/Abstract

摘要： This paper investigates the influences of atom--field coupling and dipole--dipole coupling for atoms on the entanglement between two atoms by means of concurrence. The results show that the sudden death occurs when the atom--field coupling is strong enough, and the collapse and the revival appear when the dipole--dipole interaction is strong enough.

Abstract: This paper investigates the influences of atom–field coupling and dipole–dipole coupling for atoms on the entanglement between two atoms by means of concurrence. The results show that the sudden death occurs when the atom–field coupling is strong enough, and the collapse and the revival appear when the dipole–dipole interaction is strong enough.

Key words: concurrence, sudden death, atom–field coupling, dipole–dipole interaction

中图分类号:

0365

任学藻, 姜道来, 丛红璐, 黎雷. Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation[J]. 中国物理B, 2010, 19(9): 90309-090309.

Ren Xue-Zao(任学藻), Jiang Dao-Lai(姜道来), Cong Hong-Lu(丛红璐), and Li Lei(黎雷). Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation[J]. Chin. Phys. B, 2010, 19(9): 90309-090309.

参考文献 23

[1]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge Uni. Press)
[2]	Ekert A and Jozsa R 1996 Rev. Mod. Phys. 68 733
[3]	Bennett C H, Brassard G, Crépeauc, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[4]	Ekert A 1991 Phys. Rev. Lett. 67 661
[5]	Gisin N, Ribordy G, Tittel W and Zbinden H 2002 Rev. Mod. Phys. 74 145
[6]	Knill E, Laflamme R and Milburn G L 2001 Nature 409 46
[7]	Isabel Sainz and Gunnar Bjõrk 2007 Phys. Rev. A 76 042313
[8]	Stanley Chan, Reid M D and Ficek Z 2009 J. Phys. B: At. Mol. Opt. 42 065507
[9]	Muhammed Yõnac, Ting Yu and Eberly J H 2006 J. Phys. B: At. Mol. Opt. 39 621
[10]	Li Y L and Li X M 2008 Chin. Phys. B 17 812
[11]	Liao X P, Fang M F, Cai J W and Zheng X J 2008 Chin. Phys. B 17 2137
[12]	Chen L, Shao X Q and Zhang S 2009 Chin. Phys. B 18 888
[13]	Sornborger A T, Cleland A N and Geller M R 2004 Phys. Rev. A 70 052315
[14]	Armour A D, Blencowe M P and Schwab K C 2002 Phys. Rev. Lett. 88 148301
[15]	Anappara A A, Liberato S D, Tredicucci A, Ciuti C, Biasiol G, Sorba L and Beltram F 2009 arXiv:0808.3720v3 [quant-ph]
[16]	Chen Q H, Zhang Y Y, Liu T and Wang K L 2008 Phys. Rev. A 78 051801
[17]	Liu T, Zhang Y Y, Chen Q H and Wang K L 2009 Phys. Rev. A 80 023801
[18]	Liu T, Wang K L and Feng M 2007 J. Phys. B: At. Mol. Opt. Phys. 40 1967
[19]	Liu T, Feng M and Wang K L 2007 Commun. Theor. Phys. bf 47 561
[20]	Liu T, Fan Y X, Huang S W, Wang K L and Wang Y 2007 it Commun. Theor. Phys. 47 791
[21]	Fan Y X, Liu T, Feng M and Wang K L 2007 Commun. Theor. Phys. 47 781
[22]	Ren X Z, Jiang D L, Cong H L and Liao X 2009 Acta Phys. Sin. 58 5406 (in Chinese)
[23]	Wootters W K 1998 Phys. Rev. Lett. 80 2245

Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation

Exact solution of entanglement of the double Jaynes–Cummings model without rotating wave approximation

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