双Jaynes-Cummings耦合模型几何量子失协研究
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摘要
基于Dakic提出的几何量子失协度量方法,研究了双Jaynes-Cummings(J-C)模型的几何量子失协。分析了初始态纯度、纠缠度、腔与原子间的耦合常数及腔内光子数等对几何量子失协随时间演化特性的影响。结果表明:通过提高纯度、初始纠缠度的值可以增大几何量子失协;非零光子数导致几何量子失协振荡衰减;通过调整腔与原子间的耦合常数可以改变振荡频率。
Based on the geometric quantum discord measurement method proposed by Dakic,the geometric quantum discord of double Jaynes-Cummings(J-C) model is investigated.Influences of the initial state purity,entanglement degree,coupling constant between atom and cavity,intracavity photon number on the evolution characteristics of geometric quantum discord with time are analyzed.Results show that geometric quantum discord can be increased by increasing the purity and initial entanglement value.The non-zero photon number leads to the decay of geometric quantum oscillate oscillate.The oscillation frequency can be changed by adjusting the coupling constant between the atom and cavity.
Based on the geometric quantum discord measurement method proposed by Dakic,the geometric quantum discord of double Jaynes-Cummings(J-C) model is investigated.Influences of the initial state purity,entanglement degree,coupling constant between atom and cavity,intracavity photon number on the evolution characteristics of geometric quantum discord with time are analyzed.Results show that geometric quantum discord can be increased by increasing the purity and initial entanglement value.The non-zero photon number leads to the decay of geometric quantum oscillate oscillate.The oscillation frequency can be changed by adjusting the coupling constant between the atom and cavity.
引文
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[2]Feng Lingjuan,Zhang Yingjie,Xia Yunjie.Entanglement evolution and transfer in classical driven JaynesCummings model[J].Chinese Journal of Quantum Electronics(量子电子学报).2013,30(6):716-721(in Chinese).
[3]Zhao Jiaqiang,Cao Lianzhen,Lu Huaixin.Evolution of entanglement and generation of maximally entangled states in nonlinear Jaynes-Cummings model[J].Chinese Journal of Quantum Electronics(量子电子学报),2014,31(5):610-614(in Chinese).
[4]Liao Qinghong,Jia Shulei,et al.Quantum properties of k-photon Jaynes-Cummings model in a Kerr medium[J].Chinese Journal of Quantum Electronics(量子电子学报),2013.30(2):198-206(in Chinese).
[5]Zou Yan.Entanglement properties in the system of atoms in Bell states interacting with the two-mode oddeven entangled coherent field[J].Chinese Journal of Quantum,Electronics(量子电子学报),2009,26(1):69-75(in Chinese).
[6]Wang Zhongchun,Shen Fahua,Liu Chenglin.Sudden death and sudden birth of atomic entanglement in double Jaynes-Cummings model composed of two coupled cavities[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(1):65-72(in Chinese).
[7]Ollivier H,Zurek W H.Introducing quantum discord[J].Phys.Rev.Lett,2001,88(1):017901.
[8]Chen Qing,Zhang Chengjie,Yu Sixia,et al.Quantum discord of two-qubit X-states[J].Phys.Rev.A,2011,84(4):10814-10822.
[9]Qian Yi,Xu Jingbo.Controlling quantum discord dynamics in cavity QED systems by applying a classical driving field with phase decoherence[J].Chin.Phys.B,2012,21(3):56-62.
[10]Wang Bo,Xu Zhenyu,Chen Zeqian,et al.Non-Markovian effect on the quantum discord[J].Phys.Rev.A,2010,81(1):15780-15787.
[11]Wang Xiaoyun,Ding Bangfu,Zhao Heping.Quantum discord dynamics of non-coupled two-qubit system interacting with reservoir[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(3):323-329(in Chinese).
[12]He Zhi,Li Longwu.Quantum correlation dynamics of two two-level atoms in common environment[J].Acta Phys.Sin.(物理学报),2013,62(18):116-121(in Chinese).
[13]Dakic B,Vedral V,Brukner C.Necessary and sufficient condition for nonzero quantum discord[J].Phys.Rev.Lett,2010,105(19):4649-4653.
[14]Niu Lisha.The Dynamic Characteristics of the Quantum Discord Between Atoms in the Cavities(光腔中原子间的量子失协动力学演化特性)[D].Taiyuan:Master Thesis of Shanxi University,2012(in Chinese).
[15]Hang Chunqiang,Xie Fangsen.The entangled properties of motorial atom and cavity field in two-photon JaynesCummings model[J].Laser Journal(激光杂志).2007,28(2):70-72(in Chinese).
[16]Luo S,Fu S.Geometric measure of quantum discord[J].Phys.Rev.A,2010,82(3):118-129.
[17]Luo Shunlong,Fu Shuangshuang.Evaluating the geometric measure of quantum discord[J].Theoret Math.Phys.,2012,171:870-878.
[18]Paerhati P,Abulizi A,Tusun M,et al.Quantum correlations in the system of single Jaynes-Cummings atom and an isolated atom[J].Chinese Journal of Quantum Electronics(量子电子学报),2016,33(2):200-207(in Chinese).
[19]Li Zhijian,Li Junqi,Jin Yanhong,et al.Time evolution and transfer of entanglement between an isolated atom and a Jaynes-Cummings atom[J].Journal of Physics B,2007,40(17):3401-3411.
[20]Paerhati P,Abulizi A,Tusun M,et al.Quantum dense coding via a model of single Jaynes-Cummings atom and an isolated atom[J].Journal of Quantum Optics(量子光学学报),2015,21(4):339-343(in Chinese).