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考虑外部囚禁势阱为光晶格势阱,研究了二元玻色-爱因斯坦凝聚体中亮-亮孤子的动力学行为. 结果表明,亮-亮孤子的运动方向和振荡行为可以分别通过调节光晶格势阱的晶格常数和势阱深度来控制. 进一步地,亮-亮孤子还可以被局域在光晶格势阱中,并且随着势阱深度的增加,局域孤子会产生分裂行为.
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关键词:
- 二元玻色-爱因斯坦凝聚 /
- 亮-亮孤子 /
- 光晶格势阱
We have studied the dynamic behavior of bright-bright solitons in two-species Bose-Einstein condensates trapped in an optical lattice. It is shown that the directions of motion and oscillations of the bright-bright solitons can be effectively controlled by adjusting the lattice spacing and height, respectively. Especially, two separated solitons can be localized in the optical lattice, and the fission of each localized soliton is newly observed due to the increase of the lattice height.[1] Sabbatini J, Zurek W H, Davis M J 2011 Phys. Rev. Lett. 107 230402
[2] Lewandowski H J, Harber D M, Whitaker D L, Cornell E A 2002 Phys. Rev. Lett. 88 070403
[3] Lee C H 2009 Phys. Rev. Lett. 102 070401
[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. 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. 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
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[1] Sabbatini J, Zurek W H, Davis M J 2011 Phys. Rev. Lett. 107 230402
[2] Lewandowski H J, Harber D M, Whitaker D L, Cornell E A 2002 Phys. Rev. Lett. 88 070403
[3] Lee C H 2009 Phys. Rev. Lett. 102 070401
[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. 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. 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
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