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人工规范势下三阱玻色-爱因斯坦凝聚系统的动力学研究

王强 叶冲

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人工规范势下三阱玻色-爱因斯坦凝聚系统的动力学研究

王强, 叶冲

Dynamics of Bose-Einstein condensate trapped in a triple-well with synthetic gauge field

Wang Qiang, Ye Chong
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  • 研究了人工规范势下三阱中的冷原子系统.首先给出了无相互作用的单粒子系统和多粒子系统的能谱性质:在单粒子系统中, 随着等效磁场的变化, 不同动量的本征态将轮流成为系统的基态;而对于多粒子系统, 能级则由粒子数布居决定.在纯量子框架下讨论了系统的动力学演化, 发现在排斥相互作用下隧穿和排斥相互作用比值r*'的从小到大变化可以导致系统从局域到非局域转变, 转变的临界点是r*'=1, 以及等效磁场引起的宏观旋转效应. 讨论了无相互作用系统各格点粒子数布居的表述曲线(n2+n3)-(n2-n3) 的边界效应, 并讨论了相互作用对这一效应的影响.
    We study bosonic atoms trapped in a triple-well with synthetic gauge field. The energy spectrum of the system can be tuned by an effective magnetic field. For a non-interacting system, eigen-states with different momenta will be the ground state with the magnetic field varying. In the full quantum scheme, we find the critical ratio between the tunneling and interaction strength for localization of system under the repulsive interaction. We also discuss the macro-rotation effect induced by the magnetic field and the boundary effect of the temporal evolution for a non-interacting system.
    • 基金项目: 国家重点基础研究项目特别基金(批准号: 2011CB921502, 2012CB821305, 2009CB930701, 2010CB922904)、 国家自然科学基金(批准号: 10934010, 60978019) 和国家自然科学基金委员会与香港研究资助局联合科研基金(批准号: 11061160490, 1386-N-HKU748/10) 资助的课题.
    • Funds: Project supported by the National Key Basic Research Special Foundation of China (Grants Nos. 2011CB921502, 2012CB821305, 2009CB930701, 2010CB922904), the National Natural Science Foundation of China (Grants Nos. 10934010, 60978019), and the National Natural Science Foundation of China/Research Grant Councel (RGC) Joint Research Scheme of Hong Kong (Grants Nos. 11061160490, 1386-N-HKU748/10).
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    Liu J, Fu L B, Ou B Y, Chen S G, Dae-Ⅱ Choi, Wu B, Niu Q 2002 Phys. Rev. A 66 023404

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    Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) [王冠芳, 刘彬, 傅立斌, 赵鸿 2007 物理学报 56 3733]

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    Smerzi A, Fantoni S, Giovanazzi S, Shenoy S R 1997 Phys. Rev. Lett. 79 4950

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    Milburn G J, Cor-ney J, Wright E M, Walls D F 1997 Phys. Rev. A 55 4318

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    Shin Y, Saba M, Pasquini T A, Ketterle W, Pritchard D E, Leanhardt A E 2004 Phys. Rev. Lett. 92 050405

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    Weiss C, Teichmann N 2008 Phys. Rev. Lett. 100 140408

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    Qiu H B, Tian J, Fu L B 2010 Phys. Rev. A 81 043613

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    Nemoto K, Holmes C A, Milburn G J, Munro W J 2000 Phys. Rev. A 63 013604

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    Lahaye T, Pfau T, Santos L 2010 Phys. Rev. Lett. 104 170404

    [17]

    Tung S, Schweikhard V, Cornell E A 2006 Phys. Rev. Lett. 97 240402

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    Williams R A, Al-Assam S, Foot C J 2010 Phys. Rev. Lett. 104 050404

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    Lin Y J, Compton R L, Jimenez-Garcia K, Porto J V, Spielman I B 2009 Nature 462 628

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    Wright E, Eilbeck J C, Hays M H, Miller P D, Scott A C 1993 Physica D 65 18

  • [1]

    Wu B, Niu Q 2000 Phys. Rev. A 61 023402

    [2]

    Liu J, Fu L B, Ou B Y, Chen S G, Dae-Ⅱ Choi, Wu B, Niu Q 2002 Phys. Rev. A 66 023404

    [3]

    Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) [王冠芳, 刘彬, 傅立斌, 赵鸿 2007 物理学报 56 3733]

    [4]

    Anderson B P, Kasevich M A 1998 Science 282 1686

    [5]

    Bronski J C, Carr L D, Deconinck B, Kutz J N 2001 Phys. Rev. Lett. 86 1402

    [6]

    Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620

    [7]

    Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402

    [8]

    Levy S, Lahoud E, Shoroni I, Steinhauer J 2007 Nature 449 579

    [9]

    Gati R, Oberthaler M K 2007 J. Phys. B 40 R61

    [10]

    Smerzi A, Fantoni S, Giovanazzi S, Shenoy S R 1997 Phys. Rev. Lett. 79 4950

    [11]

    Milburn G J, Cor-ney J, Wright E M, Walls D F 1997 Phys. Rev. A 55 4318

    [12]

    Shin Y, Saba M, Pasquini T A, Ketterle W, Pritchard D E, Leanhardt A E 2004 Phys. Rev. Lett. 92 050405

    [13]

    Weiss C, Teichmann N 2008 Phys. Rev. Lett. 100 140408

    [14]

    Qiu H B, Tian J, Fu L B 2010 Phys. Rev. A 81 043613

    [15]

    Nemoto K, Holmes C A, Milburn G J, Munro W J 2000 Phys. Rev. A 63 013604

    [16]

    Lahaye T, Pfau T, Santos L 2010 Phys. Rev. Lett. 104 170404

    [17]

    Tung S, Schweikhard V, Cornell E A 2006 Phys. Rev. Lett. 97 240402

    [18]

    Williams R A, Al-Assam S, Foot C J 2010 Phys. Rev. Lett. 104 050404

    [19]

    Lin Y J, Compton R L, Jimenez-Garcia K, Porto J V, Spielman I B 2009 Nature 462 628

    [20]

    Wright E, Eilbeck J C, Hays M H, Miller P D, Scott A C 1993 Physica D 65 18

计量
  • 文章访问数:  7443
  • PDF下载量:  439
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-03-06
  • 修回日期:  2012-06-26
  • 刊出日期:  2012-12-05

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