Soliton dynamical behavior of the condensates trapped in a square-well potential

Zhang Bo; Wang Deng-Long; She Yan-Chao; Zhang Wei-Xi

doi:10.7498/aps.62.110501

Abstract

Using multiple-scale method, we study analytically the soliton dynamical behaviors of the Bose-Einstein condensates trapped in a square-well potential. It is found that the square-well potential has important effects on the soliton dynamics. When the soliton goes into the square-well potential, its movement is accelerated; while it leaves the square-well potential, the soliton is decelerated. With the increase in depth of the square-well potential, the velocity of the soliton increases, and its amplitude becomes larger and its width decreases. This may serve as a reference effect for controlling the dynamical characteristics of the soliton in experiments.

Keywords:

Authors and contacts

1.
Department of Physics, Xiangtan University, Xiangtan 411105, China;
2.
Department of Physics and Electronic Science, Tongren University, Tongren 554300, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11074212), the Scientific Research Fund of Hunan Provincial Education Department, China (Grant No. 12A140), and the Science and Technology Foundation of Guizhou Province, China (Grant Nos. J20112219, J20122314).

References

[1]	Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2]	Denschlag J, Simsarian J E, Feder D L, Clark C W, Collins L A, Cubizolles J, Deng L, Hagley E W, Helmerson K, Reinhardt W P, Rolston S L, Schneider B I, Phillips W D 2000 Science 287 97
[3]	Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y, Salomon1 C 2002 Science 296 1290
[4]	Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[5]	Song S W, Wang D S, Wang H Q, Liu W M 2012 Phys. Rev. A 85 063617
[6]	Li J, Wang D S, Yu Z Y, Yu Y M, Liu W M 2012 Phys. Rev. A 86 023628
[7]	Luo X Q, Wang D L, Zhang Z Q, Ding J W, Liu W M 2011 Phys. Rev. A 84 033803
[8]	Pethick C J, Smith H 2002 Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, England)
[9]	Dalfovo E, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Mod. Phys. 71 463
[10]	Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602
[11]	Li Z D, Li Q Y, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[12]	Wang D L, Yan X H, Liu W M 2008 Phys. Rev. E 78 026606
[13]	Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[14]	Huang G X, Szeftel J, Zhu S H 2002 Phys. Rev. A 65 053605
[15]	Huang G X 2004 Chin. Phys. 13 1866
[16]	Zhang W X, Wang D L, He Z M, Wang F J, Ding J W 2008 Phys. Lett. A 372 4407
[17]	Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[18]	Wang D S, Hu X H, Hu J P,, Liu W M 2010 Phys. Rev. A 81 025604
[19]	Li Q Y, Li Z D, Yao S F, Li L, Fu G S 2010 Chin. Phys. B 19 080501
[20]	Song W W, Li Q Y, Li Z D, Fu G S 2010 Chin. Phys. B 19 070503
[21]	He Z M, Wang D L, Zhang W X, Wang F J, Ding J W 2008 Chin. Phys. B 17 3640
[22]	Xi Y D, Wang D L, He Z M, Ding J W 2009 Chin. Phys. B 18 0939
[23]	Xi Y D, Wang D L, She Y C, Wang F J, Ding J W 2010 Acta Phys. Sin. 59 3720 (in Chinese) [奚玉东, 王登龙, 佘彦超, 王凤姣, 丁建文 2010 物理学报 59 3720]
[24]	Li Z D, Li Q Y, He P B, Liang J Q, Liu W M, Fu G S 2010 Phys. Rev. A 81 015602
[25]	Zhang W X, Wang D L, Ding J W 2008 Acta Phys. Sin. 57 6786 (in Chinese) [张蔚曦, 王登龙, 丁建文 2008 物理学报 57 6786]
[26]	Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[27]	He Z M, Wang D L 2007 Acta Phys. Sin. 56 3088 (in Chinese) [何章明, 王登龙 2007 物理学报 56 3088]
[28]	Zhang H, Duan W S 2013 Acta Phys. Sin. 62 044703 (in Chinese) [张恒, 段文山 2013 物理学报 62 044703]
[29]	Teng F, Xie Z W 2013 Acta Phys. Sin. 62 026701 (in Chinese) [藤斐, 谢征微 2013 物理学报 62 026701]
[30]	He Z M, Wang D L, Ding J W, Yan X H 2012 Acta Phys. Sin. 61 230508 (in Chinese) [何章明, 王登龙, 丁建文, 颜晓红 2012 物理学报 61 230508]
[31]	Fang Y C, Yang Z A 2007 Acta Phys. Sin. 57 7438 (in Chinese) [房永翠, 杨志安 2008 物理学报 57 7438]
[32]	Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[33]	Zhang X F, Zhang P, Yang Q 2008 Communi. Theo. Phys. 50 1323
[34]	Mahmud K W, Kutz J N, Reinhart W P 2002 Phys. Rev. A 66 063607
[35]	Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[36]	Ziń P, Infeld E, Matuszewski M, Rowlands G, Trippenbach M 2006 Phys. Rev. A 73 022105
[37]	Infeld E, Ziń P, Gocalek J, Trippenbach M 2006 Phys. Rev. E 74 026610
[38]	Matuszewski M, Malomed B A, Trippenbach M 2007 Phys. Rev. A 75 063621

Cited By

[1]	Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2]	Denschlag J, Simsarian J E, Feder D L, Clark C W, Collins L A, Cubizolles J, Deng L, Hagley E W, Helmerson K, Reinhardt W P, Rolston S L, Schneider B I, Phillips W D 2000 Science 287 97
[3]	Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y, Salomon1 C 2002 Science 296 1290
[4]	Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[5]	Song S W, Wang D S, Wang H Q, Liu W M 2012 Phys. Rev. A 85 063617
[6]	Li J, Wang D S, Yu Z Y, Yu Y M, Liu W M 2012 Phys. Rev. A 86 023628
[7]	Luo X Q, Wang D L, Zhang Z Q, Ding J W, Liu W M 2011 Phys. Rev. A 84 033803
[8]	Pethick C J, Smith H 2002 Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, England)
[9]	Dalfovo E, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Mod. Phys. 71 463
[10]	Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602
[11]	Li Z D, Li Q Y, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[12]	Wang D L, Yan X H, Liu W M 2008 Phys. Rev. E 78 026606
[13]	Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[14]	Huang G X, Szeftel J, Zhu S H 2002 Phys. Rev. A 65 053605
[15]	Huang G X 2004 Chin. Phys. 13 1866
[16]	Zhang W X, Wang D L, He Z M, Wang F J, Ding J W 2008 Phys. Lett. A 372 4407
[17]	Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[18]	Wang D S, Hu X H, Hu J P,, Liu W M 2010 Phys. Rev. A 81 025604
[19]	Li Q Y, Li Z D, Yao S F, Li L, Fu G S 2010 Chin. Phys. B 19 080501
[20]	Song W W, Li Q Y, Li Z D, Fu G S 2010 Chin. Phys. B 19 070503
[21]	He Z M, Wang D L, Zhang W X, Wang F J, Ding J W 2008 Chin. Phys. B 17 3640
[22]	Xi Y D, Wang D L, He Z M, Ding J W 2009 Chin. Phys. B 18 0939
[23]	Xi Y D, Wang D L, She Y C, Wang F J, Ding J W 2010 Acta Phys. Sin. 59 3720 (in Chinese) [奚玉东, 王登龙, 佘彦超, 王凤姣, 丁建文 2010 物理学报 59 3720]
[24]	Li Z D, Li Q Y, He P B, Liang J Q, Liu W M, Fu G S 2010 Phys. Rev. A 81 015602
[25]	Zhang W X, Wang D L, Ding J W 2008 Acta Phys. Sin. 57 6786 (in Chinese) [张蔚曦, 王登龙, 丁建文 2008 物理学报 57 6786]
[26]	Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[27]	He Z M, Wang D L 2007 Acta Phys. Sin. 56 3088 (in Chinese) [何章明, 王登龙 2007 物理学报 56 3088]
[28]	Zhang H, Duan W S 2013 Acta Phys. Sin. 62 044703 (in Chinese) [张恒, 段文山 2013 物理学报 62 044703]
[29]	Teng F, Xie Z W 2013 Acta Phys. Sin. 62 026701 (in Chinese) [藤斐, 谢征微 2013 物理学报 62 026701]
[30]	He Z M, Wang D L, Ding J W, Yan X H 2012 Acta Phys. Sin. 61 230508 (in Chinese) [何章明, 王登龙, 丁建文, 颜晓红 2012 物理学报 61 230508]
[31]	Fang Y C, Yang Z A 2007 Acta Phys. Sin. 57 7438 (in Chinese) [房永翠, 杨志安 2008 物理学报 57 7438]
[32]	Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[33]	Zhang X F, Zhang P, Yang Q 2008 Communi. Theo. Phys. 50 1323
[34]	Mahmud K W, Kutz J N, Reinhart W P 2002 Phys. Rev. A 66 063607
[35]	Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[36]	Ziń P, Infeld E, Matuszewski M, Rowlands G, Trippenbach M 2006 Phys. Rev. A 73 022105
[37]	Infeld E, Ziń P, Gocalek J, Trippenbach M 2006 Phys. Rev. E 74 026610
[38]	Matuszewski M, Malomed B A, Trippenbach M 2007 Phys. Rev. A 75 063621

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Vol. 62, Issue 11 - 2013-06-05

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