单Jaynes-Cummings原子与孤立原子系统中的各种量子关联
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摘要
利用单Jaynes-Cummings(J-C)二能级原子和孤立原子构成的模型,研究了该模型中的各种量子关联。基于Dakic等提出的几何量子失协的度量方法,采用数值计算方法分析了系统中两原子间几何量子失协的演化,同时给出了量子纠缠和量子失协的演化。研究结果表明:通过提高两原子间初始纠缠度及处于W态时的纯度可以提高系统的量子关联。耦合常数和光子数在量子关联演化过程中扮演了重要角色。
Various correlations in system of single Jaynes-Cummings(J-C) atom and an isolated atom were investigated via the measurement of geometric quantum discord proposed by Dakic et al.The dynamical evolutions of geometric quantum discord between two atoms were numerically analyzed as well as those of the quantum entanglement and quantum discord.Results show that quantum correlations can be increased by increasing initial entanglement and purity of the prepared W-state of the two atoms.The coupling constant and photon number play significant roles in the quantum correlation dynamics.
Various correlations in system of single Jaynes-Cummings(J-C) atom and an isolated atom were investigated via the measurement of geometric quantum discord proposed by Dakic et al.The dynamical evolutions of geometric quantum discord between two atoms were numerically analyzed as well as those of the quantum entanglement and quantum discord.Results show that quantum correlations can be increased by increasing initial entanglement and purity of the prepared W-state of the two atoms.The coupling constant and photon number play significant roles in the quantum correlation dynamics.
引文
[1]Einstein A,Podolsky B,Rosen A N.Can quantum-mechanical description of physical reality be considered complete?[J].Phys.Rev.,1935,47(10):777-780.
[2]Hu Yaohua.Influence of Stark shift on entropy and entanglement in J-C model with mixed states[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):441-447(in Chinese).
[3]Feng Lingjuan,Zhang Yingjie,Xia Yunjie.Entanglement evolution and transfer in classical driven JaynesGummings model[J].Chinese Journal of Quantum Electronics(量子电子学报),2013,30(6):716-721(in Chinese).
[4]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).
[5]Liao Qinghong,Jia Shulei,Liu Ye.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).
[6]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).
[7]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).
[8]Han Yunxia,Hu Yaohua.Effect of linear modulation of atom-field coupling on atom entanglement[J].Chinese Journal of Quantum Electronics(量子电子学报),2014,31(6):715-719(in Chinese).
[9]Li Hongxing,Sachuerfu,Feng Chuan,et al.Quantum entanglement of binomial optical field interacting with moving atom in mixed state[J].Chinese Journal of Quantum Electronics(量子电子学报),2014,31(1):61-68(in Chinese).
[10]Deng Xiaojuan,Fang Maofa,Kang Guodong.Entanglement dynamics between an isolated atom and a moving atom in the cavity[J].Chin.Phys.B,2009,18(10):4100-4104.
[11]Zhang 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).
[12]Ollivier H,Zurek W H.Introducing quantum discord[J].Phys.Rev.Lett,2001,88(1):017901.
[13]Chen Qing,Zhang Chengjie,Yu Sixia,et al.Quantum discord of two-qubit X-states[J].Phys.Rev.A,2011,84(4):10814-10822.
[14]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.
[15]Wang Bo,Xu Zhenyu,Chen Zeqian,et al.Non-Markovian effect on the quantum discord[J].Phys.Rev.A,2010,81(1):15780-15787.
[16]Wang Xiaoyun,Ding Bangfu,Zhao Heping.Quantum discord dynamics of non-coupled two-qubit system interacting with reservoirs[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(3):323-329(in Chinese).
[17]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).
[18]Wang Chen,Chen Qinghu.Quantum discord dynamics of two qubits in the single-mode cavities[J].Chin.Phys.B,2012,22(4):103-109.
[19]Dakic B,Vedral V,Brukner C.Necessary and sufficient condition for nonzero quantum discord[J],Phys.Rev.Lett,2010,105(19):4649-4653.
[20]Luo Shunlong,Fu Shuangshuang.Geometric measure of quantum discord[J].Phys.Rev.A,2010,82(3):118-129.
[21]Luo Shunlong,Fu Shuangshuang.Evaluating the geometric measure of quantum discord[J].Theoret.Math.Phys.,2012,171:870-878.
[22]Fan Kaiming,Zhang Guofeng.The dynamics of quantum correlation between two atoms in a damping JaynesCummings model[J].Acta Phys.Sin.(物理学报),2013,62(13):537-544(in Chinese).
[23]Li Ruiqi,Lu Daoming.Quantum discord in the system of atoms interacting with coupled cavities[J].Acta Phys.Sin.(物理学报),2014,63(3):168-175(in Chinese).
[24]Lu Daoming,Qiu Changdong.Quantum discord in the system of two atoms trapped in weak coherent state cavities connected by an optical fiber[J].Acta Phys.Sin.(物理学报),2014,63(11):110303(in Chinese).
[25]Hu Yan,Yu Yanxia,Ji Yinghua.Robustness investigation on geometric quantum discord of coupled qubits initially in maximally entangled mixed states[J].Chinese Journal of Quantum Electronics(量子电子学报),2013,30(5):572-578(in Chinese).
[26]Li Zhijian,Li Junqi,Jin Yanhong,et al.Time evolution and transfer of entanglement between an isolated atom and a Jaynes-Cummings atom[J].J.Phys.B:At Mol.Opt.Phys.,2007,40(17):3401-3411.
[2]Hu Yaohua.Influence of Stark shift on entropy and entanglement in J-C model with mixed states[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):441-447(in Chinese).
[3]Feng Lingjuan,Zhang Yingjie,Xia Yunjie.Entanglement evolution and transfer in classical driven JaynesGummings model[J].Chinese Journal of Quantum Electronics(量子电子学报),2013,30(6):716-721(in Chinese).
[4]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).
[5]Liao Qinghong,Jia Shulei,Liu Ye.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).
[6]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).
[7]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).
[8]Han Yunxia,Hu Yaohua.Effect of linear modulation of atom-field coupling on atom entanglement[J].Chinese Journal of Quantum Electronics(量子电子学报),2014,31(6):715-719(in Chinese).
[9]Li Hongxing,Sachuerfu,Feng Chuan,et al.Quantum entanglement of binomial optical field interacting with moving atom in mixed state[J].Chinese Journal of Quantum Electronics(量子电子学报),2014,31(1):61-68(in Chinese).
[10]Deng Xiaojuan,Fang Maofa,Kang Guodong.Entanglement dynamics between an isolated atom and a moving atom in the cavity[J].Chin.Phys.B,2009,18(10):4100-4104.
[11]Zhang 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).
[12]Ollivier H,Zurek W H.Introducing quantum discord[J].Phys.Rev.Lett,2001,88(1):017901.
[13]Chen Qing,Zhang Chengjie,Yu Sixia,et al.Quantum discord of two-qubit X-states[J].Phys.Rev.A,2011,84(4):10814-10822.
[14]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.
[15]Wang Bo,Xu Zhenyu,Chen Zeqian,et al.Non-Markovian effect on the quantum discord[J].Phys.Rev.A,2010,81(1):15780-15787.
[16]Wang Xiaoyun,Ding Bangfu,Zhao Heping.Quantum discord dynamics of non-coupled two-qubit system interacting with reservoirs[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(3):323-329(in Chinese).
[17]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).
[18]Wang Chen,Chen Qinghu.Quantum discord dynamics of two qubits in the single-mode cavities[J].Chin.Phys.B,2012,22(4):103-109.
[19]Dakic B,Vedral V,Brukner C.Necessary and sufficient condition for nonzero quantum discord[J],Phys.Rev.Lett,2010,105(19):4649-4653.
[20]Luo Shunlong,Fu Shuangshuang.Geometric measure of quantum discord[J].Phys.Rev.A,2010,82(3):118-129.
[21]Luo Shunlong,Fu Shuangshuang.Evaluating the geometric measure of quantum discord[J].Theoret.Math.Phys.,2012,171:870-878.
[22]Fan Kaiming,Zhang Guofeng.The dynamics of quantum correlation between two atoms in a damping JaynesCummings model[J].Acta Phys.Sin.(物理学报),2013,62(13):537-544(in Chinese).
[23]Li Ruiqi,Lu Daoming.Quantum discord in the system of atoms interacting with coupled cavities[J].Acta Phys.Sin.(物理学报),2014,63(3):168-175(in Chinese).
[24]Lu Daoming,Qiu Changdong.Quantum discord in the system of two atoms trapped in weak coherent state cavities connected by an optical fiber[J].Acta Phys.Sin.(物理学报),2014,63(11):110303(in Chinese).
[25]Hu Yan,Yu Yanxia,Ji Yinghua.Robustness investigation on geometric quantum discord of coupled qubits initially in maximally entangled mixed states[J].Chinese Journal of Quantum Electronics(量子电子学报),2013,30(5):572-578(in Chinese).
[26]Li Zhijian,Li Junqi,Jin Yanhong,et al.Time evolution and transfer of entanglement between an isolated atom and a Jaynes-Cummings atom[J].J.Phys.B:At Mol.Opt.Phys.,2007,40(17):3401-3411.