Tripartite entanglement properties in the system of atoms interacting with three coupled cavities

Abstract

It is considered that three identical two-level atoms are separately trapped in three coupled single-mode optical cavities, and each atom resonantly interacts with cavity via a one-photon transition. The tripartite entanglement dynamics among atoms is studied. The influence of cavity-cavity coupling constant on the tripartite entanglement among atoms is discussed. The results obtained using the numerical method show that the tripartite entanglement among atoms has a nonlinear relation with the cavity-cavity coupling coefficient. On the other hand, the three-body entanglement is the result of the coherent superposition of the two-body entanglements.

Keywords

Cavity Field / Entanglement Measure / Coherent Superposition / Couple Cavity / Tripartite Entanglement

References

[1] DavidovichL, ZaguryN, BruneM, RaimondJ M, HarocheS. Phys. Rev. A, 1994, 50: R895

[2] BennettC H, BrassardG, MerminN D. Phys. Rev. Lett., 1992, 68: 557

[3] CiracJ I, ZollerP. Phys. Rev. Lett., 1995, 74: 4091

[4] YangR C, ZhangP F, GuoY Q, ZhangT C. Commun. Theor. Phys., 2012, 57: 195

[5] HaoX, ShaJ Q, SunJ, ZhuS Q. Commun. Theor. Phys., 2012, 57: 29

[6] LiaoH-q. Journal of Optoelectronics·Laser, 2012, 23: 757

[7] LuD-m. Journal of Optoelectronics·Laser, 2012, 23: 386

[8] LaskowskiW, MarkiewiczM, PaterekT, ZukowskiM. Phys. Rev. A, 2011, 84: 062305

[9] HwangM R, ParkD K, JungE. Phys. Rev. A, 2011, 83: 012111

[10] XiaoX, FangM F. Chinese Physics B, 2009, 18: 4695

[11] ZhengS B, YangZ B, XiaY. Phys. Rev. A, 2010, 81: 015804

[12] LuD-m. Acta Phys. Sin., 2011, 60: 120303

[13] YangZ B. Chinese Physics, 2007, 16: 329

[14] YinZ Q, LiF L. Phys. Rev. A, 2007, 75: 012324

[15] ZhengS B, YangC P, NoriF. Phys. Rev. A, 2010, 82: 042327

[16] ZhangY Q, HuZ D, XuJ B. International Journal of Theoretical Physics, 2011, 50: 2438

[17] PellizzariT. Phys. Rev. Lett., 1997, 79: 5242

[18] YeS Y, ZhongZ R, ZhengS B. Phys. Rev. A, 2008, 77: 014303

[19] SongJ, SunX D, XiaY, SongH S. Phys. Rev. A, 2011, 83: 052309

[20] TongZ Y, KuangL M. Chin. Phys. Lett., 2000, 17: 469