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Considering the time-dependent interspecies interactions, we study the dynamic behaviors of bright-bright solitons in two species Bose-Einstein condensates in the harmonic external potentials. In the presence of unchanged attractive interspecies and intraspecies interactions, bright-bright solitons exhibit periodic oscillations. When the attractive intraspecies interactions are fixed but the attractive interspecies interactions are increased exponentially, interestingly, a transition behavior from oscillation to localization is observed. Meanwhile, this transition behavior can be controlled by tuning the transverse trapping frequency of harmonic potential. Furthermore, an experimental protocol is designed to observe the transition behavior in the current experimental conditions.
[1] Becker C, Stellmer S, Soltan-Panahi P, Dörscher S, Baumert M, Richter E M, Kronjäger J, Bongs K, Sengstock K 2008 Nat. Phys. 4 496
[2] Hamner C, Chang J J, Engels P, Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[3] Hoefer M A, Chang J J, Hamner C, Engels P 2011 Phys. Rev. A 84 041605
[4] Papp S B, Pino J M, Wieman C E 2008 Phys. Rev. Lett. 101 040402
[5] Sabbatini J, Zurek W H, Davis M J 2011 Phys. Rev. Lett. 107 230402
[6] Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1130
[7] Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1134
[8] Lee C H 2009 Phys. Rev. Lett. 102 070401
[9] Csire G, Schumayer D, Apagyi B 2010 Phys. Rev. A 82 063608
[10] Novoa D, Malomed B A, Michinel H, Pérez-García V M 2008 Phys. Rev. Lett. 101 144101
[11] Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[12] Liu X X, Pu H, Xiong B, Liu W M, Gong J B 2009 Phys. Rev. A 79 013423
[13] Law K J H, Kevrekidis P G, Tuckerman L S 2010 Phys. Rev. Lett. 105 160405
[14] Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612
[15] Yu H Y, Pan L X, Yan J R, Tang J Q 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025301
[16] Li L, Malomed B A, Mihalache D, Liu W M 2006 Phys. Rev. E 73 066610
[17] Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[18] Zhao L C, He S L 2011 Phys. Lett. A 375 3017
[19] Wen L, Liu W M, Cai Y, Zhang J M, Hu J 2012 Phys. Rev. A 85 043602
[20] He Z M, Wang D L, Ding J W, Yan X H 2012 Eur. Phys. J. D 66 139
[21] Luo X Q, Wang D L, Zhang Z Q, Ding J W, Liu W M 2011 Phys. Rev. A 84 033803
[22] Chen Z, Wu B 2010 Phys. Rev. A 81 043611
[23] Wu L, Li L, Zhang J F 2009 Phys. Rev. A 80 013617
[24] Xue J K, Peng P 2006 Chin. Phys. 15 1149
[25] Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 92 054101
[26] Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[27] Huang G X 2004 Chin. Phys. 13 1866
[28] Wang S J, Jia C L, Zhao D, Luo H G, An J H 2003 Phys. Rev. A 68 015601
[29] Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[30] Wu B, Liu J, Niu Q 2002 Phys. Rev. Lett. 88 034101
[31] Li Z D, Li Q Y, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[32] Li Z D, Li Q Y, He P B, Bai Z G, Sun Y B 2007 Ann. Phys. 322 2945
[33] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰 2006 物理学报 55 5623]
[34] Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳, 傅立斌, 赵鸿, 刘杰 2006 物理学报 54 5003]
[35] Wang D L, Yan X H, Liu W M 2008 Phys. Rev. E 78 026606
[36] Burger S, Bongs K, Dettmer S, Ertmer W, Lewenstein K 1999 Phys. Rev. Lett. 83 5198
[37] Pérez-García V M, Beitia J B 2005 Phys. Rev. A 72 033620
[38] Thalhammer G, Barontini G, Sarlo L D, Catani J, Minardi F, Inguscio M 2008 Phys. Rev. Lett. 100 210402
[39] Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[40] Simoni A, Zaccanti M, D'Errico C, Fattori M, Roati G, Inguscio M, Modugno G 2008 Phys. Rev. A 77 052705
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[1] Becker C, Stellmer S, Soltan-Panahi P, Dörscher S, Baumert M, Richter E M, Kronjäger J, Bongs K, Sengstock K 2008 Nat. Phys. 4 496
[2] Hamner C, Chang J J, Engels P, Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[3] Hoefer M A, Chang J J, Hamner C, Engels P 2011 Phys. Rev. A 84 041605
[4] Papp S B, Pino J M, Wieman C E 2008 Phys. Rev. Lett. 101 040402
[5] Sabbatini J, Zurek W H, Davis M J 2011 Phys. Rev. Lett. 107 230402
[6] Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1130
[7] Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1134
[8] Lee C H 2009 Phys. Rev. Lett. 102 070401
[9] Csire G, Schumayer D, Apagyi B 2010 Phys. Rev. A 82 063608
[10] Novoa D, Malomed B A, Michinel H, Pérez-García V M 2008 Phys. Rev. Lett. 101 144101
[11] Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[12] Liu X X, Pu H, Xiong B, Liu W M, Gong J B 2009 Phys. Rev. A 79 013423
[13] Law K J H, Kevrekidis P G, Tuckerman L S 2010 Phys. Rev. Lett. 105 160405
[14] Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612
[15] Yu H Y, Pan L X, Yan J R, Tang J Q 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025301
[16] Li L, Malomed B A, Mihalache D, Liu W M 2006 Phys. Rev. E 73 066610
[17] Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[18] Zhao L C, He S L 2011 Phys. Lett. A 375 3017
[19] Wen L, Liu W M, Cai Y, Zhang J M, Hu J 2012 Phys. Rev. A 85 043602
[20] He Z M, Wang D L, Ding J W, Yan X H 2012 Eur. Phys. J. D 66 139
[21] Luo X Q, Wang D L, Zhang Z Q, Ding J W, Liu W M 2011 Phys. Rev. A 84 033803
[22] Chen Z, Wu B 2010 Phys. Rev. A 81 043611
[23] Wu L, Li L, Zhang J F 2009 Phys. Rev. A 80 013617
[24] Xue J K, Peng P 2006 Chin. Phys. 15 1149
[25] Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 92 054101
[26] Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[27] Huang G X 2004 Chin. Phys. 13 1866
[28] Wang S J, Jia C L, Zhao D, Luo H G, An J H 2003 Phys. Rev. A 68 015601
[29] Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[30] Wu B, Liu J, Niu Q 2002 Phys. Rev. Lett. 88 034101
[31] Li Z D, Li Q Y, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[32] Li Z D, Li Q Y, He P B, Bai Z G, Sun Y B 2007 Ann. Phys. 322 2945
[33] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰 2006 物理学报 55 5623]
[34] Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳, 傅立斌, 赵鸿, 刘杰 2006 物理学报 54 5003]
[35] Wang D L, Yan X H, Liu W M 2008 Phys. Rev. E 78 026606
[36] Burger S, Bongs K, Dettmer S, Ertmer W, Lewenstein K 1999 Phys. Rev. Lett. 83 5198
[37] Pérez-García V M, Beitia J B 2005 Phys. Rev. A 72 033620
[38] Thalhammer G, Barontini G, Sarlo L D, Catani J, Minardi F, Inguscio M 2008 Phys. Rev. Lett. 100 210402
[39] Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[40] Simoni A, Zaccanti M, D'Errico C, Fattori M, Roati G, Inguscio M, Modugno G 2008 Phys. Rev. A 77 052705
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