Quantum entanglement of two-mode SU(1,1) coherent states with three-level atoms in a Kerr-like-medium

Abstract

Abstract:

The quantum entanglement of three-level atoms ,which include a V-type three-level atom, a ?-type three-level atom and a -type three-level atom, interacting with two-mode SU(1,1) coherent states in a Kerr-like medium is studied. By numerical method, the influences of field parameters and Kerr effect on the quantum entanglement are discussed in detail. The study shows the laws of the three type atoms are coincident with the effect of Kerr, before the parameter of Kerr reaches a certain value the quantum entanglement increases rapidly with the increasing of it. However ,the quantum entanglement is reduced when the parameter over the certain value .

Key words: three-level atoms, two-mode SU(1,1) coherent states, Kerr-like medium, quantum entanglement

WANG Qing-Shi, GUO Yun-Xiang, LAI Yun-Zhong. Quantum entanglement of two-mode SU(1,1) coherent states with three-level atoms in a Kerr-like-medium[J]. J4, 2009, 26(5): 577-584.

References

[1] Buzek V, Jex I. Dynamics of a two-level atom in Kerr-like medium
[J]. Optics Communications, 1990, 78(5-6):425-435.

[2] Dung H T, Shumovsky A S. Analytic approximation to the inversion of a two-level atom in a Kerr medium
[J]. Phys. Lett A, 1991, 160:437-430.

[3] Li Gaoxiang, Peng Jinsheng. Propertiles of the field in the nondegenerate two-photon Jaynes-Cummings model inside a high-Q cavity filled with a Kerr-like medium
[J]. Acta Physica Sinica(物理学报),1993,42(9):1443-1451(in Chinese). 李高翔,彭金生.高Q Kerr介质腔中非简并双光子Jaynes-Cummings模型中光场的性质.
[J] 物理学报1993 42 1443-1451.

[4] Lai Yunzhong, Liang Jiuqing. Interaction of two-mode SU(1,1) coherent states with the V-type three-level atom in a Kerr-like-medium
[J]. Acta Physica Sinica(物理学报),1997,46(9):1710-1717(in Chinese). 赖云忠，梁九卿。Kerr介质中双模SU(1,1)相干态场与Ｖ型三能级原子的相互作用。
[J]物理学报，1997,46(9):1710-1717。

[5] Tao Xiangyang, Liu Jinming, Liu Sanqiu etc. Quantum statistic properties of non-resonance interaction between a three-level atom and two mode cavities with Kerr medium
[J]. Acta Physica Sinica(物理学报),2000, 49(8):1464-1470(in Chinese). 陶向阳，刘金明，刘三秋，傅传鸿。Kerr介质中三能级原子与双模场非共振相互作用的量子统计性质。
[J]物理学报，2000，49(8)：1464-1470。

[6] Liu Sanqiu, Liu Jinming, Tao Xiangyang. The photon statistical properties of a three-level atom interacting with the squeezed light field in a Kerr medium
[J]. Acta Photonica Sinica(光子学报),1999,28(3):193-197(in Chinese). 刘三秋，刘金明，陶向阳。Kerr介质中三能级原子与压缩光场相互作用的光子统计分布特性。
[J]光子学报，1999，28(3)：193-197。

[7] Einstein A, Podolsky B, Rosen N.Can quantum-mechanical description of physical reality be considered complete
[J]. Phys. Rev, 1935, 47(10): 777-780.

[8] Gerry, Christopher C.Correlated two-mode SU(1,1) coherent states:nonclassical properties
[J]. Opt.Soc.Am,1991,B8:685-690.

[9] Lai W K ,Buzek V, Knight P L. Dynamics of a three- level atom in a two-mode squeezed vacuum
[J]. Phys.Rev. A, 1991,44 6043-6056.

[10] Li Gaoxiang, Peng Jinsheng. Propertiles of the field in the nondegenerate two-photon Jaynes-Cummings model inside a high-Q cavity filled with a Kerr-like medium
[J].Acta Physica Sinica(物理学报),1993,42(9):1443-1451(in Chinese). 李高翔,彭金生.高Q Kerr介质腔中非简并双光子Jaynes-Cummings模型中光场的性质.
[J] 物理学报1993 42 1443-1451.

[11] Fang Maofa ,Zhou Peng.Entropy properties of the field in the two-photon Jaynes-Cummings model with an additional Kerr medium
[J]. Acta Physica Sinica(物理学报),1994,43(4):570-579(in Chinese). 方卯发,周鹏.附加克尔介质双光子Jaynes-Cummings模型的场熵特性.
[J]. 物理学报.1994 ,43(4):570-579.

[12] Lu Hong,Peng Jinsheng,Li Gaoxiang. Dynamics of two-mode SU(1,1) coherent states interacting with the V-type three-level atom
[J]. Acta Physica Sinica(物理学报),1995,44(5):708-714(in Chinese). 路洪,彭金生,李高翔.双模SU(1,1)相干态场与V型三能级原子相互作用的动力学.
[J]物理学报, 1995,44(5):708-714.

[13] Phoenix S J D and Knight P L. Fluctuation and entropy in models of quantum optical resonance
[J]. Ann.Phys,1988,186: 381-407.

[14] Zeng Jinyan. Advances in Quantum Mechanics(量子力学新进展)
[M]. Beijing: Tsinghua University Press,2003,189~255(in Chinese).

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