中国物理B ›› 2009, Vol. 18 ›› Issue (3): 939-945.doi: 10.1088/1674-1056/18/3/017

• GENERAL • 上一篇    下一篇

Controlling the motion of solitons in BEC by a weakly periodic potential

奚玉东, 王登龙, 何章明, 丁建文   

  1. Department of Physics and Key Laboratory of Low Dimensional Materials & Application Technology of Ministry of Education, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2008-08-18 修回日期:2008-08-22 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10674113), the New Century Excellent Talent Project of the Ministry of Education of China (Grant No NCEF-06-0707), and the Natural Science Foundation of Hunan Province of Chin

Controlling the motion of solitons in BEC by a weakly periodic potential

Xi Yu-Dong(奚玉东), Wang Deng-Long(王登龙)†, He Zhang-Ming(何章明), and Ding Jian-Wen(丁建文)‡   

  1. Department of Physics and Key Laboratory of Low Dimensional Materials & Application Technology of Ministry of Education, Xiangtan University, Xiangtan 411105, China
  • Received:2008-08-18 Revised:2008-08-22 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10674113), the New Century Excellent Talent Project of the Ministry of Education of China (Grant No NCEF-06-0707), and the Natural Science Foundation of Hunan Province of Chin

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摘要： By developing multiple-scale method combined with Wentzel--Kramer--Brillouin expansion, this paper analytically studies the modulating effect of weakly periodic potential on the dynamical properties of the Bose--Einstein condensates (BEC) trapped in harmonic magnetic traps. A black--grey soliton transition is observed in the BEC trapped in harmonic magnetic potential, due to the weakly periodic potential modulating effect. Meanwhile, it finds that with the slight increase of the weakly periodic potential strength, the velocity of the soliton decreases, while its width firstly decreases then increases, a minimum exists there. These results show that the amplitude, velocity, and width of matter solitons can be effectively managed by means of a weakly periodic potential.

Abstract: By developing multiple-scale method combined with Wentzel--Kramer--Brillouin expansion, this paper analytically studies the modulating effect of weakly periodic potential on the dynamical properties of the Bose--Einstein condensates (BEC) trapped in harmonic magnetic traps. A black--grey soliton transition is observed in the BEC trapped in harmonic magnetic potential, due to the weakly periodic potential modulating effect. Meanwhile, it finds that with the slight increase of the weakly periodic potential strength, the velocity of the soliton decreases, while its width firstly decreases then increases, a minimum exists there. These results show that the amplitude, velocity, and width of matter solitons can be effectively managed by means of a weakly periodic potential.

Key words: Bose--Einstein condensates, solitons, modulating effect

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
05.45.Yv (Solitons)