二元凝聚体中亮-亮孤子的振荡-局域转变行为

何章明; 王登龙; 丁建文; 颜晓红

doi:10.7498/aps.61.230508

摘要

考虑时间相关的种间相互吸引作用,研究了局限于谐振外部势阱中的二元玻色-爱因斯坦凝聚体中亮-亮孤子的传播特性.结果表明,当种内和种间相互吸引作用都不变时,亮-亮孤子呈现出周期性的振荡; 如果种内相互吸引作用仍保持不变,而种间相互吸引作用随时间指数增加时, 发现凝聚体中产生振荡-局域转变行为,且这种振荡-局域的转变行为可通过调节谐振势阱的横向囚禁频率来控制.此外,还设计了实验方案来观察孤子的这种振荡-局域转变行为.

关键词:

Abstract

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.

Keywords:

作者及机构信息

1.
湘潭大学物理系, 湘潭 411105;

2.
南京邮电大学电子科学与工程学院, 南京 211106

基金项目: 国家自然科学基金(批准号: 51032002, 11074212)和国家高技术研究发展计划(批准号: 2011AA050526)资助的课题.

Authors and contacts

1.
Department of Physics, Xiangtan University, Xiangtan 411105, China;

2.
College of Electronic Science Engineering, Nanjing University of Post & Telecommunication, Nanjing 211106, China

Funds: Project supported by National Natural Science Foundation of China (Grant Nos. 51032002, 11074212), and the National High Technology Research and Development Program of China (Grant No. 2011AA050526).

参考文献

[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 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 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

施引文献

[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 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 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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