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Chin. Phys. B, 2014, Vol. 23(6): 060310    DOI: 10.1088/1674-1056/23/6/060310
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Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential

Li Qiu-Yan, Wang Shuang-Jin, Li Zai-Dong
Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China
Abstract  We report the analytical nonautonomous soliton solutions (NSSs) for two-component Bose-Einstein condensates with the presence of a time-dependent potential. These solutions show that the time-dependent potential can affect the velocity of NSS. The velocity shows the characteristic of both increasing and oscillation with time. A detailed analysis for the asymptotic behavior of NSSs demonstrates that the collision of two NSSs of each component is elastic.
Keywords:  nonautonomous soliton solution      interaction      Bose-Einstein condensates  
Received:  20 September 2013      Revised:  21 November 2013      Published:  15 June 2014
PACS:  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  05.30.Jp (Boson systems)  
Fund: Project supported by the Key Project of the Chinese Ministry of Education (Grant No. 2011015) and the Natural Science Foundation of Hebei Province of China (Grant No. A2012202023).
Corresponding Authors:  Li Qiu-Yan     E-mail:

Cite this article: 

Li Qiu-Yan, Wang Shuang-Jin, Li Zai-Dong Nonautonomous dark soliton solutions in two-component Bose-Einstein condensates with a linear time-dependent potential 2014 Chin. Phys. B 23 060310

[1] Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. 15 240
[2] Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
[3] Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
[4] Becker C, Stellmer S, Soltan-Panahi P, Dörscher S, Baumert M, Richter E M, Kronjäger J, Bongs K and Sengstock K 2008 Nat. Phys. 4 496
[5] Al Khawaja U, Stoof H T C, Hulet R G, Strecker K E and Partridge G B 2002 Phys. Rev. Lett. 89 200404
[6] Atre R, Panigrahi P K and Agarwal G S 2006 Phys. Rev. E 73 056611
[7] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198
[8] Dum R, Cirac J I, Lewenstein M and Zoller P 1998 Phys. Rev. Lett. 80 2972
[9] Jackson A D, Kavoulakis G M and Pethick C J 1998 Phys. Rev. A 58 2417
[10] Bronski J C, Carr L D, Deconinck B and Kutz J N 2001 Phys. Rev. Lett. 86 1402
[11] Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063610
[12] Li J H and Li Z J 2011 Chin. Phys. B 20 100501
[13] Song C S, Li J and Zong F D 2012 Chin. Phys. B 21 020306
[14] Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063611
[15] 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 and Phillips W D 2000 Science 287 97
[16] Kevrekidis P G, Frantzeskakis D J and Carretero-González Ricardo 2008 Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment (Berlin: Springer Press)
[17] Serkin V N, Hasegawa A and Belyaeva T L 2007 Phys. Rev. Lett. 98 074102
[18] Liu X X, Pu H, Xiong B, Liu W M and Gong J B 2009 Phys. Rev. A 79 013423
[19] Wang D L, Yan X H and Wang F J 2007 Chin. Phys. Lett. 24 1817
[20] Wang D L, Yan X H and Liu W M 2008 Phys. Rev. E 78 026606
[21] Li Z J, Hai W H and Deng Y 2013 Chin. Phys. B 22 090505
[22] Chen H H and Liu C S 1976 Phys. Rev. Lett. 37 693
[23] Konotop V V 1993 Phys. Rev. E 47 1423
[24] Konotop V V, Chubykalo O A and Vázquez L 1993 Phys. Rev. E 48 563
[25] Li Q Y, Li Z D, Wang S X, Song W W and Fu G S 2009 Opt. Commun. 282 1676
[26] Serkin V N and Hasegawa A 2000 Phys. Rev. Lett. 85 4502
[27] Serkin V N and Belyaeva T L 2001 JETP Lett. 74 573
[28] Li L, Malomed B A, Mihalache D and Liu W M 2006 Phys. Rev. E 73 066610
[29] Serkin V N, Hasegawa A and Belyaeva T L 2010 Phys. Rev. A 81 023610
[30] Roberts J L, Claussen N R, Burke J P Jr, Greene C H, Cornell E A and Wieman C E 1998 Phys. Rev. Lett. 81 5109
[31] Stenger J, Inouye S, Andrews M R, Miesner H J, Stamper-Kurn D M and Ketterle W 1999 Phys. Rev. Lett. 82 2422
[32] Liang Z X, Zhang Z D and Liu W M 2005 Phys. Rev. Lett. 94 050402
[33] Li Q Y, Li Z D, Li L, Song W W and Fu G S 2010 Opt. Commun. 283 3361
[34] Pu H, Raghavan S and Bigelow N P 2000 Phys. Rev. A 61 023602
[35] Abdullaev F Kh, Kamchatnov A M, Konotop V V and Brazhnyi V A 2003 Phys. Rev. Lett. 90 230402
[36] Pelinovsky D E, Kevrekidis P G and Frantzeskakis D J 2003 Phys. Rev. Lett. 91 240201
[37] Myatt C J, Burt E A, Ghrist R W, Cornell E A and Wieman C E 1997 Phys. Rev. Lett. 78 586
[38] Stenger J, Inouye S, Stamper-Kurn D M, Miesner H J, Chikkatur A P and Ketterle W 1998 Nature 396 345
[39] Thalhammer G, Barontini G, De Sarlo L, Catani J, Minardi F and Inguscio M 2008 Phys. Rev. Lett. 100 210402
[40] Papp S B, Pino J M and Wieman C E 2008 Phys. Rev. Lett. 101 040402
[41] Zhang X F, Hu X H, Liu X X and Liu W M 2009 Phys. Rev. A 79 033630
[42] Zhang P, Zhang X F and Liu X X 2010 Chin. Phys. Lett. 27 070306
[43] Zhang X F, Zhang P, He W Q and Liu X X 2011 Chin. Phys. B 20 020307
[44] Li Q Y, Li Z D, Yao S F, Li L and Fu G S 2010 Chin. Phys. B 19 080501
[45] Gross E P 1963 J. Math. Phys. 4 195
[46] Pitaevskii L P 1961 Sov. Phys. JETP 13 451
[47] Petrov D S, Shlyapnikov G V and Walraven J T M 2000 Phys. Rev. Lett. 85 3745
[48] Manakov S V 1974 JETP Lett. 38 248
[49] Kaup D J and Malomed B A 1993 Phys. Rev. A 48 599
[50] Malomed B A and Tasgal R S 1998 Phys. Rev. E 58 2564
[51] Busch Th and Anglin J R 2001 Phys. Rev. Lett. 87 010401
[52] Hirota R 1982 J. Phys. Soc. Jpn. 51 323
[53] Li Z D, Li Q Y, Hu X H, Zheng Z X and Sun Y B 2007 Ann. Phys. 322 2545
[54] Radhakrishnan R and Lakshmanan M 1995 J. Phys. A: Math. Gen. 28 2683
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