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The dynamic effect of a field with a time-varying frequency on the atom-atom entanglement in a double J-C model

Cui Cong-Cong Xie Shuang-Yuan Yang Ya-Ping

The dynamic effect of a field with a time-varying frequency on the atom-atom entanglement in a double J-C model

Cui Cong-Cong, Xie Shuang-Yuan, Yang Ya-Ping
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  • The entanglement between the two atoms of two separate Jaynes-Commings models is investigated by means of the concurrence. We restrict our attention to two cases, the field frequency varying with time in the forms of sine and rectangle. When the field frequency varies with time in the form of sine, the period and the amplitude of the atom-atom concurrence will decrease as the amplitude of the sine frequency modulation increases. Not only the sine field frequency modulation but also the rectangular field frequency modulation can affect the interaction of the field with atom between resonance and off-resonance. The field frequency modulation can also affect the atom-atom entanglement. The suitable field frequency modulation is favorable for improving, enhancing and stabilizing the degree of the atom-atom entanglement. The suitable field frequency modulation can also prevent the atom-atom entanglement from entanglement sudden death and control it dynamically.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant. No. 11074188).
    [1]

    Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777 Schrödinger E 1995 Naturwissenschaften 23 807

    [2]

    Greenberger D M, Horne M A, Zeilinger A 1989 Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kafatos (Kluwer Academics, Dordrecht, the Netherlands, 1989) p73

    [3]

    Bennett C H, Wiesner S J 1992 Phys. Rev. Lett. 69 2881

    [4]

    Raussendorf R, Briegel H J 2001 Phys. Rev. Lett. 86 5188

    [5]

    Biham E, Huttner B, Mor T 1996 Phys. Rev. A 54 2651

    [6]

    Bennett C H, Brassard G, Jozsa R, Peres A, Wootters K W 1993 Phys. Rev. Lett. 70 1895

    [7]

    Deutsch D, Ekert A, Jozsa R, Macchiavello C, Popescu S, Sanpera A 1996 Phys. Rev. Lett. 77 2818

    [8]

    Mcaneney H, Lee J, Kim M S 2003 Phys. Rev. A 68 063814

    [9]

    Li G X, Allaart K, Lenstra D 2004 Phys. Rev. A 69 055802

    [10]

    Hamieh S D, Katsnelson M L 2005 Phys. Rev. A 72 032316 Lkram M, Li F L Zubairy M S 2007 Phys. Rev. A 75 062336

    [11]

    Wei Q, Yan Y, Li G X 2010 Acta Phys. Sin. 59 4453 (in Chinese)[魏巧, 鄢嫣, 李高翔 2010 物理学报 59 4453]

    [12]

    Guo Z, Yan L S, Pan W, Lu B, Xu M F 2011 Acta Phys. Sin. 60 060301 (in Chinese)[郭振, 闫连山, 潘炜, 罗斌, 徐明峰 2011 物理学报 60 060301]

    [13]

    Yönac M, Yu T, Eberly J H 2006 J. Phys. B: At. Mol. Opt. Phys. 39 s621 Yönac M, Yu T, Eberly J H 2007 J. Phys. B: At. Mol. Opt. Phys. 40 s45 Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404

    [14]

    Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503

    [15]

    Bhaktavatsala Rao D D 2007 Phys. Rev. A 76 042312 Creffield C E 2007 Phys. Rev. Lett. 99 110501

    [16]

    Cheng Q L, Xie S Y, Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese)[成秋丽, 谢双媛, 羊亚平 2008 物理学报 57 6968]

    [17]

    Law C K, Zhu S Y, Zubairy M S 1995 Phys. Rev. A 52 4095

    [18]

    Jia F, Xie S Y, Yang Y P 2006 Acta Phys. Sin. 55 5835 (in Chinese)[贾飞, 谢双媛, 羊亚平 2006 物理学报 55 5835]

    [19]

    Zhang W J, Wang Z G, Xie S Y, Yang Y P 2007 Acta Phys. Sin. 56 2168 (in Chinese)[张婉娟, 王治国, 谢双媛, 羊亚平 2007 物理学报 56 2168]

    [20]

    Li Z H, Yu M Z, Yang Y P 2008 Acta Phys. Sin. 57 1693 (in Chinese)[李征鸿, 于明章, 羊亚平 2008 物理学报 57 1693]

    [21]

    Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge University Press, Cambridge) p195

    [22]

    Hill S, Wootters W K 1997 Phys. Rev. Lett. 78 5022 Wootters W K 1998 Phys. Rev. Lett. 80 2245

  • [1]

    Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777 Schrödinger E 1995 Naturwissenschaften 23 807

    [2]

    Greenberger D M, Horne M A, Zeilinger A 1989 Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kafatos (Kluwer Academics, Dordrecht, the Netherlands, 1989) p73

    [3]

    Bennett C H, Wiesner S J 1992 Phys. Rev. Lett. 69 2881

    [4]

    Raussendorf R, Briegel H J 2001 Phys. Rev. Lett. 86 5188

    [5]

    Biham E, Huttner B, Mor T 1996 Phys. Rev. A 54 2651

    [6]

    Bennett C H, Brassard G, Jozsa R, Peres A, Wootters K W 1993 Phys. Rev. Lett. 70 1895

    [7]

    Deutsch D, Ekert A, Jozsa R, Macchiavello C, Popescu S, Sanpera A 1996 Phys. Rev. Lett. 77 2818

    [8]

    Mcaneney H, Lee J, Kim M S 2003 Phys. Rev. A 68 063814

    [9]

    Li G X, Allaart K, Lenstra D 2004 Phys. Rev. A 69 055802

    [10]

    Hamieh S D, Katsnelson M L 2005 Phys. Rev. A 72 032316 Lkram M, Li F L Zubairy M S 2007 Phys. Rev. A 75 062336

    [11]

    Wei Q, Yan Y, Li G X 2010 Acta Phys. Sin. 59 4453 (in Chinese)[魏巧, 鄢嫣, 李高翔 2010 物理学报 59 4453]

    [12]

    Guo Z, Yan L S, Pan W, Lu B, Xu M F 2011 Acta Phys. Sin. 60 060301 (in Chinese)[郭振, 闫连山, 潘炜, 罗斌, 徐明峰 2011 物理学报 60 060301]

    [13]

    Yönac M, Yu T, Eberly J H 2006 J. Phys. B: At. Mol. Opt. Phys. 39 s621 Yönac M, Yu T, Eberly J H 2007 J. Phys. B: At. Mol. Opt. Phys. 40 s45 Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404

    [14]

    Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503

    [15]

    Bhaktavatsala Rao D D 2007 Phys. Rev. A 76 042312 Creffield C E 2007 Phys. Rev. Lett. 99 110501

    [16]

    Cheng Q L, Xie S Y, Yang Y P 2008 Acta Phys. Sin. 57 6968 (in Chinese)[成秋丽, 谢双媛, 羊亚平 2008 物理学报 57 6968]

    [17]

    Law C K, Zhu S Y, Zubairy M S 1995 Phys. Rev. A 52 4095

    [18]

    Jia F, Xie S Y, Yang Y P 2006 Acta Phys. Sin. 55 5835 (in Chinese)[贾飞, 谢双媛, 羊亚平 2006 物理学报 55 5835]

    [19]

    Zhang W J, Wang Z G, Xie S Y, Yang Y P 2007 Acta Phys. Sin. 56 2168 (in Chinese)[张婉娟, 王治国, 谢双媛, 羊亚平 2007 物理学报 56 2168]

    [20]

    Li Z H, Yu M Z, Yang Y P 2008 Acta Phys. Sin. 57 1693 (in Chinese)[李征鸿, 于明章, 羊亚平 2008 物理学报 57 1693]

    [21]

    Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge University Press, Cambridge) p195

    [22]

    Hill S, Wootters W K 1997 Phys. Rev. Lett. 78 5022 Wootters W K 1998 Phys. Rev. Lett. 80 2245

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  • Citation:
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  • Received Date:  10 October 2011
  • Accepted Date:  14 November 2011
  • Published Online:  20 June 2012

The dynamic effect of a field with a time-varying frequency on the atom-atom entanglement in a double J-C model

  • 1. Department of Physics, Tongji University, Shanghai 200092, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant. No. 11074188).

Abstract: The entanglement between the two atoms of two separate Jaynes-Commings models is investigated by means of the concurrence. We restrict our attention to two cases, the field frequency varying with time in the forms of sine and rectangle. When the field frequency varies with time in the form of sine, the period and the amplitude of the atom-atom concurrence will decrease as the amplitude of the sine frequency modulation increases. Not only the sine field frequency modulation but also the rectangular field frequency modulation can affect the interaction of the field with atom between resonance and off-resonance. The field frequency modulation can also affect the atom-atom entanglement. The suitable field frequency modulation is favorable for improving, enhancing and stabilizing the degree of the atom-atom entanglement. The suitable field frequency modulation can also prevent the atom-atom entanglement from entanglement sudden death and control it dynamically.

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