Effect of a barrier potential on soliton dynamical characteristics in condensates

doi:10.1088/1674-1056/19/4/040502

Abstract By using the multiple-scale method, this paper analytically studies the effect of a barrier potential on the dynamical characteristics of the soliton in Bose--Einstein condensates. It is shown that a stable soliton is exhibited at the top of the barrier potential and the region of the absence of the barrier potential. Meanwhile, it is found that the height of the barrier potential has an important effect on the dark soliton dynamical characteristics in the condensates. With the increase of height of the barrier potential, the amplitude of the dark soliton becomes smaller, its width is narrower, and the soliton propagates more slowly.

Keywords: Bose--Einstein condensates solitons barrier potential

Received: 16 August 2009
Revised: 03 September 2009
Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	03.75.Kk	(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

Cite this article:

Li Jin-Hui(李锦茴) Effect of a barrier potential on soliton dynamical characteristics in condensates 2010 Chin. Phys. B 19 040502

[1]	Pethick C J and Smith H 2002 Bose--Einstein Condensation in Dilute Gases (Cambridge: Cambridge University Press)
[2]	Pitaevskii L and Stringari S 2003 Bose--Einstein Condensation} (Oxford: Clarendon)
[3]	van Abeelen F A and Verhaar B J 1999 Phys. Rev. Lett. 83 1550
[4]	Yurovsky V A 2006 Phys. Rev. A 73 052709
[5]	Liang Z X, Zhang Z D and Liu W M 2006 Mod. Phys. Lett. A 21 383
[6]	Li Z D, Li Q Y, Li L and Liu W M 2007 Phys. Rev. E 76 026605
[7]	Zhang X F, Yang Q, Zhang J F, Chen X Z and Liu W M 2008 Phys. Rev. A 77 023613
[8]	Huang G X, Velarde M G and Makarov V A 2001 Phys. Rev. A 64 013617
[9]	Huang G X, Szeftel J and Zhu S H 2002 Phys. Rev. A 65 053605
[10]	Zhang W X, Wang D L, He Z M, Wang F J and Ding J W 2008 Phys. Lett. A 372 4407
[11]	Ji A C, Liu W M, Song J L and Zhou F 2008 Phys. Rev. Lett. 101 010402
[12]	Li Z D, Liang J Q, Li L and Liu W M 2004 Phys. Rev. E 69 066611
[13]	Wang D L, Yan X H and Wang F J 2007 Chin. Phys. Lett.] 24 1817
[14]	Ji A C, Sun Q, Xie X C and Liu W M 2009 Phys. Rev. Lett. 102 023602
[15]	Li Z D, Li Q Y, Hu X H, Zheng Z X and Sun Y B 2007 Ann. Phys. (New York) 322 2545
[16]	He Z M, Wang D L, Zhang W X, Wang F J and Ding J W 2008 Chin. Phys. Lett. 25 3158
[17]	He Z M, Wang D L, Zhang W X, Wang F J and Ding J W 2008 Chin. Phys. B 17 3640
[18]	Li Z D and Li Q Y 2007 Ann. Phys. (New York) 322] 1961
[19]	Zhang W X, Wang D L and Ding J W 2008 Acta Phys. Sin. 57 6786 (in Chinese)
[20]	Wang Y Y and Zhang J F 2009 Chin. Phys. B 18 1168
[21]	Li H and Wang D N 2009 Chin. Phys. B 18 2659
[22]	Peng P and Li G Q 2009 Chin. Phys. B 18 3221
[23]	Xi Y D, Wang D L, He Z M and Ding J W 2009 Chin. Phys. B 18 939
[24]	Hu M L and Xi X Q 2008 Chin. Phys. B 17 3559
[25]	Zhou L, Kong L B and Zhan M S 2008 Chin. Phys. B 17 1601
[26]	He Z M and Wang D L 2007 Acta Phys. Sin. 56 3088 (in Chinese)
[27]	Wang S J, Jia C L, Zhao D, Luo H G and An J H 2003 Phys. Rev. }A 68 015601
[28]	Li Q Y, Li Z D, Wang S X, Song W W and Fu G S 2009 Opt. Commun. 282 1676
[29]	Andersen J O 2004 Rev. Mod. Phys. 76 599
[30]	Burger S, Bongs K, Dettmer S, Ertmer W and Sengstock K 1999 Phys. Rev. Lett. 83 5198
[31]	Paul T, Richter K and Schlagheck P 2005 Phys. Rev. Lett.] 94 020404
[32]	Carusotto I and La Rocca G C 1999 Phys. Rev. Lett. 84 399
[33]	Carusotto I 2001 Phys. Rev. }A 63 023610
[34]	Boyd R W 1992 Nonlinear Optics (London: Academic Press)
[35]	Wang D L, Yan X H and Liu W M 2008 Phys. Rev. E 78 026606
[36]	Wang D L, Yan X H and Tang Y 2004 J. Phys. Soc. Jpn. 73 123
[37]	Wang D L, Yang R S and Yang Y Y 2007 Commun. Theor. Phys. (Beijing, China) 48 917
[38]	Wang D L, Yan X H, Tang Y, Xiao Y F and Yang R S 2004 Int. J. Mod. Phys. B 18 2713

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