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Laser-Manipulating Macroscopic Quantum States of a Bose-Einstein Condensate Held in a Kronig-Penny Potential

Laser-Manipulating Macroscopic Quantum States of a Bose-Einstein Condensate Held in a Kronig-Penny Potential
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摘要 We investigate the boundary vaJue problem (BVP) of a quasi-one-dimensional Gross-Pitaevskii equation with the Kronig-Penney potential (KPP) of period d, which governs a repulsive Bose-Einstein condensate. Under the zero and periodic boundary conditions, we show how to determine n exact stationary eigenstates {Rn} corresponding to different chemical potentials {μn} from the known solutions of the system. The n-th eigenstate P~ is the Jacobian elliptic function with period 2din for n = 1,2,…, and with zero points containing the potential barrier positions. So Rn is differentiable at any spatial point and R2 describes n complete wave-packets in each period of the KPP. It is revealed that one can use a laser pulse modeled by a 5 potential at site xi to manipulate the transitions from the states of {Rn} with zero Point x≠xi to the states of {Rn'} with zero Point x= Xi. The results suggest an experimental scheme for applying BEC to test the BVP and to observe the macroscopic quantum transitions.
机构地区 Department of Physics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第7期68-74,共7页 理论物理通讯(英文版)
基金 The project supported by the National Natural Science Foundation of China under Grant Nos.10575034 and 10875039
关键词 Bose-Einstein Condenstate Kronig-Penney potential boundary value problem laser-manipulating macroscopic quantum state 玻色爱因斯坦凝聚 宏观量子态 激光脉冲 操作 周期性边界条件 边值问题 椭圆函数 试验计划
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参考文献48

  • 1O. Morsch and M. Oberthaler, Rev. Mod. Phys. 78 (2006) 179.
  • 2B. Eiermann, P. Treutlein, T. Anker, M. Albiez, M. Taglieber, K.P. Marzlin, and M.K. Oberthaler, Phys. Rev. Lett. 91 (2003) 060402.
  • 3T. Esslinger and K. Molmer, Phys. Rev. Lett. 90 (2003) 160406.
  • 4M. Machholm, A. Nicolin, C.J. Pethick, and H. Smith, Phys. Rev. A 69 (2004) 043604.
  • 5J.S. Fand, W.K. Liu, and S.H. Zhu, Commun. Theor. Phys. (Beijing, China) 48 (2007) 125.
  • 6A.X. Mu, X.Y. Zhou, and J.K. Xue, Chin. Phys. 17 (2008) 764.
  • 7M. Greiner, O. Mandel, T. Esslinger, T.W. Hansch, and I. Bloch, Nature (London) 415 (2002) 39.
  • 8K.P. Schmidt, A. Reischl, and G.S. Uhrig, Euro. Phys. J. D 38 (2006) 343.
  • 9Y. Wu and X. Yang, Phys. Rev. A 68 (2003) 013608.
  • 10S. Burger, F.S. Cataliotti, C. Fort, F. Minardi, M. Inguscio, M.L. Chiofalo, and M.P. Tosi, Phys. Rev. Lett. 86 (2001) 4447.

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