二元玻色-爱因斯坦凝聚体中矢量孤子的转化行为

张蔚曦; 张志强; 冉茂武; 欧永康; 何章明

doi:10.7498/aps.63.200507

摘要

考虑种内和种间相互作用均为排斥作用，研究了局限于谐振外部势阱中的二元玻色-爱因斯坦凝聚体中灰-灰和黑-黑孤子的动力学行为. 结果表明：当谐振势阱的轴向囚禁频率为零时，灰-灰和黑-黑孤子均能保持局域稳定；而当轴向囚禁频率不为零时，凝聚体中的原子向势阱中心聚集，发现灰-灰孤子可以转化成亮-亮孤子.

关键词:

Considering the interspecies and intraspecies interactions as being repulsive, we study the dynamic behaviors of the gray-gray and black-black solitons in two-species Bose-Einstein condensates trapped in the harmonic external potentials. The results show that in the absence of the axial trapping frequencies, both the gray-gray and black-black solitons can keep localization stable. In the presence of the axial trapping frequencies, the gray-gray can be converted into bright-bright solitons.

Keywords:

作者及机构信息

1.
铜仁学院物理与应用科学系, 铜仁 554300;

2.
郑州科技学院基础教学部, 郑州 450064;

3.
湖南工业大学理学院, 株洲 412007

基金项目: 国家自然科学基金地区科学基金（批准号：61367003）、贵州省科技厅科学技术基金（批准号：J20122314）和河南省教育厅科学技术研究重点项目（批准号：14B140014）资助的课题.

Authors and contacts

1.
Department of Physics and Application Science, Tongren University, Tongren 554300, China;

2.
Department of Basic Course, Zhengzhou College of Science and Technology, Zhengzhou 450064, China;

3.
College of Science, Hunan University of Technology, Zhuzhou 412007, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61367003), the Science and Technology Foundation of Guizhou Province, China (Grant No. J20122314), and the Research Foundation of Education Bureau of Henan Province, China (Grant No. 14B140014).

参考文献

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[2]	Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[3]	Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E 1999 Phys. Rev. Lett. 83 2498
[4]	Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[5]	Liu X X, Pu H, Xiong B, Liu W M, Gong J B 2009 Phys. Rev. A 79 013423
[6]	Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1134
[7]	Huang G X, Li X Q, Szeftel J 2004 Phys. Rev. A 69 065601
[8]	Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612
[9]	Yu H Y, Pan L X, Yan J R, Tang J Q 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025301
[10]	Luo M, Bao C G, Li Z B 2008 J. Phys. B: At. Mol. Opt. Phys. 41 245301
[11]	Liu X X, Zhang X F, Zhang P 2010 Chin. Phys. Lett. 27 070306
[12]	Yan J R, Pan L X, Yu H Y, Ao S M 2009 Chin. Phys. Lett. 26 090301
[13]	Li L, Malomed B A, Mihalache D, Liu W M 2006 Phys. Rev. E 73 066610
[14]	Cheng Y S 2009 J. Phys. B: At. Mol. Opt. Phys. 42 205005
[15]	Xiong B, Gong J B 2010 Phys. Rev. A 81 033618
[16]	Xuan H N, Zuo M 2011 Commun. Theor. Phys. 56 1035
[17]	Morsch O, Oberthaler M 2006 Rev. Mod. Phys. 78 179
[18]	Shrestha U, Javanainen J, Ruostekosk J 2009 Phys. Rev. Lett. 103 190401
[19]	Hamner C, Chang J J, Engels P, Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[20]	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 61 230508]
[21]	Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[22]	Zhao L C, He S L 2011 Phys. Lett. A 375 3017
[23]	Wen L, Liu W M, Cai Y, Zhang J M, Hu J 2012 Phys. Rev. A 85 043602
[24]	He Z M, Wang D L, Ding J W, Yan X H 2012 Eur. Phys. J. D 66 139
[25]	Chen Z, Wu B 2010 Phys. Rev. A 81 043611
[26]	Wu L, Li L, Zhang J F 2009 Phys. Rev. A 80 013617
[27]	Xue J K, Peng P 2006 Chin. Phys. B 15 1149
[28]	Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 92 054101
[29]	Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[30]	Huang G X 2004 Chin. Phys. B 13 1866
[31]	Wang S J, Jia C L, Zhao D, Luo H G, An J H 2003 Phys. Rev. A 68 015601
[32]	Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[33]	Wu B, Liu J, Niu Q 2002 Phys. Rev. Lett. 88 034101
[34]	Li Z D, Li QY, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[35]	Li Z D, Li Q Y, He P B, Bai Z G, Sun Y B 2007 Ann. Phys. 322 2945
[36]	He Z M, Wang D L, Zhang W X, Wang F J, Ding J W 2008 Chin. Phys. Lett. 25 3158
[37]	Papp S B, Pino J M, Wieman C E 2008 Phys. Rev. Lett. 101 040402
[38]	Ronen S, Bohn J L, Halmo L E, Edwards M 2008 Phys. Rev. A 78 053613
[39]	Miesner H J, Stamper-Kurn D M, Andrews M R, Durfee D S, Inouye S, Ketterle W 1998 Science 279 1005

施引文献

[1]	Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2]	Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[3]	Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E 1999 Phys. Rev. Lett. 83 2498
[4]	Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[5]	Liu X X, Pu H, Xiong B, Liu W M, Gong J B 2009 Phys. Rev. A 79 013423
[6]	Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1134
[7]	Huang G X, Li X Q, Szeftel J 2004 Phys. Rev. A 69 065601
[8]	Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612
[9]	Yu H Y, Pan L X, Yan J R, Tang J Q 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025301
[10]	Luo M, Bao C G, Li Z B 2008 J. Phys. B: At. Mol. Opt. Phys. 41 245301
[11]	Liu X X, Zhang X F, Zhang P 2010 Chin. Phys. Lett. 27 070306
[12]	Yan J R, Pan L X, Yu H Y, Ao S M 2009 Chin. Phys. Lett. 26 090301
[13]	Li L, Malomed B A, Mihalache D, Liu W M 2006 Phys. Rev. E 73 066610
[14]	Cheng Y S 2009 J. Phys. B: At. Mol. Opt. Phys. 42 205005
[15]	Xiong B, Gong J B 2010 Phys. Rev. A 81 033618
[16]	Xuan H N, Zuo M 2011 Commun. Theor. Phys. 56 1035
[17]	Morsch O, Oberthaler M 2006 Rev. Mod. Phys. 78 179
[18]	Shrestha U, Javanainen J, Ruostekosk J 2009 Phys. Rev. Lett. 103 190401
[19]	Hamner C, Chang J J, Engels P, Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[20]	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 61 230508]
[21]	Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[22]	Zhao L C, He S L 2011 Phys. Lett. A 375 3017
[23]	Wen L, Liu W M, Cai Y, Zhang J M, Hu J 2012 Phys. Rev. A 85 043602
[24]	He Z M, Wang D L, Ding J W, Yan X H 2012 Eur. Phys. J. D 66 139
[25]	Chen Z, Wu B 2010 Phys. Rev. A 81 043611
[26]	Wu L, Li L, Zhang J F 2009 Phys. Rev. A 80 013617
[27]	Xue J K, Peng P 2006 Chin. Phys. B 15 1149
[28]	Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 92 054101
[29]	Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[30]	Huang G X 2004 Chin. Phys. B 13 1866
[31]	Wang S J, Jia C L, Zhao D, Luo H G, An J H 2003 Phys. Rev. A 68 015601
[32]	Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[33]	Wu B, Liu J, Niu Q 2002 Phys. Rev. Lett. 88 034101
[34]	Li Z D, Li QY, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[35]	Li Z D, Li Q Y, He P B, Bai Z G, Sun Y B 2007 Ann. Phys. 322 2945
[36]	He Z M, Wang D L, Zhang W X, Wang F J, Ding J W 2008 Chin. Phys. Lett. 25 3158
[37]	Papp S B, Pino J M, Wieman C E 2008 Phys. Rev. Lett. 101 040402
[38]	Ronen S, Bohn J L, Halmo L E, Edwards M 2008 Phys. Rev. A 78 053613
[39]	Miesner H J, Stamper-Kurn D M, Andrews M R, Durfee D S, Inouye S, Ketterle W 1998 Science 279 1005

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