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One-dimensional quantum tunneling dynamics between two-component Bose-Einstein condensates confined in a double-well magnetic trap is investigated. One-dimensional Gross-Pitaevskii equations for two-component Bose-Einstein condensates are derived from the three-dimensional ones. We derive Feynman equations from one-dimensional Gross-Pitaevskii equations. To study tunneling dynamics we solve Feynman equations in terms of a completely numerical procedure. In contrast to single-component condensates between two-component condensates, we find that this system can take on abundant tunneling results, the full tunneling dynamical behavior is summarized in phase portrait with constant energy lines. It is found that this system can achieve self-trapping when increase interatomic interactions exceed a critical value. We give the analytical critical expressions of interatomic interactions from the system Hamiltonian.
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Keywords:
- tunneling /
- self-trapping /
- interacting /
- two-component Bose-Einstein condensates
[1] ［1]Josephson B D 1962 Phys. Lett. 1 251
[2] ［2]Xiong B, Liu X X, arXiv:cond-mat/0703327. Xiong B, Zhang W P, Liu W M, arXiv:cond-mat/0703160.
[3] ［3]Anderson B P, Kasevich M A 1998 Science 282 1686
[4] ［4]Anker T, Albiez M, Gati R, Hunsmann S, Eiermann B, Trombettoni A, Oberthaler M K 2005 Phys. Rev. Lett. 94 020403
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[6] ［6]Pedri P, Pitaevskii L, Stringari S, Fort C, Burger S, Cataliotti F S, Maddaloni P, Minardi F, Inguscio M 2001 Phys. Rev. Lett. 87 220401
[7] ［7]Adhikari S K 2003 Eur. Phys. J. D 25 161
[8] ［8]Burger S, Cataliotti F S, Fort C, Minardi F, Inguscio M, Chiofalo M L, Tosi M P 2001 Phys. Rev. Lett. 86 4447
[9] ［9] Kraer M, Pitaevskii L, Stringari S 2002 Phys. Rev. Lett. 88 180404
[10] ［10]Adhikari S K 2005 Phys. Rev. A 72 013619
[11] ［11]Wang G F, Liu H 2008 Acta. Phys. Sin. 57 0667 （in Chinese）［王冠芳、刘红 2008 57 0667］
[12] ［12]Liu Z Z, Yang Z A 2007 Acta. Phys. Sin. 56 1245 （in Chinese）［刘泽专、杨志安 2007 56 1245］
[13] ［13]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］
[14] ［14]Fang Y C, Yang Z A 2008 Acta. Phys. Sin. 57 7438 （in Chinese）［房永翠、杨志安 2008 57 7438］
[15] ［15]Yan D, Song L J, Chen D W 2009 Acta. Phys. Sin. 58 3679 （in Chinese）［严冬、宋立军、陈殿伟 2009 58 3679］
[16] ［16]Chen H J, Xue J K 2008 Acta. Phys. Sin. 57 3962 （in Chinese）［陈海军、薛具奎 2008 57 3962］
[17] ［17]Li H M 2007 Chin. Phys. 16 3187
[18] ［18]Ren J R, Guo H 2009 Chin. Phys. B 18 3379
[19] ［19]Xiong H W, Liu S J, Zhan M S 2006 Phys. Rev. 73 224505
[20] ［20]Wen L H, Li J H 2007 Phys. Lett. A 369 307
[21] ［21]Kuang L M, Ouyang Z W 2000 Phys. Rev. A 61 023604
[22] ［22]Kasamatsu K, Yasui Y, Tsubota M 2001 Phys. Rev. A 64 053605
[23] ［23]Salmond G L, Holmes C A, Milburn G J 2002 Phys. Rev. A 65 033623
[24] ［24]Lee C, Hai W, Luo X, Shi L, Gao K 2003 Phys. Rev. A 68 053614
[25] ［25]Li F, Shu W X, Luo H L, Ren Z Z 2007 Chin. Phys. 16 650
[26] ［26]Xiong B, Liu X X 2007 Chin. Phys. B 16 2578
[27] ［27]Zhou L, Kong L B, Zhou M S 2008 Chin. Phys. B 17 1601
[28] ［28]Fang J S 2008 Chin. Phys. B 17 3996
[29] ［29]Fang Y C, Yang Z A, Yang L Y 2008 Acta. Phys. Sin. 57 661 （in Chinese）［房永翠、杨志安、杨丽云 2008 57 661］
[30] ［30]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 2005 54 5003］
[31] ［31]Smerzi A, Fantoni S, Giovanazzi S, Shenoy S R 1997 Phys. Rev. Lett. 79 4950
[32] ［32]Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620
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[1] ［1]Josephson B D 1962 Phys. Lett. 1 251
[2] ［2]Xiong B, Liu X X, arXiv:cond-mat/0703327. Xiong B, Zhang W P, Liu W M, arXiv:cond-mat/0703160.
[3] ［3]Anderson B P, Kasevich M A 1998 Science 282 1686
[4] ［4]Anker T, Albiez M, Gati R, Hunsmann S, Eiermann B, Trombettoni A, Oberthaler M K 2005 Phys. Rev. Lett. 94 020403
[5] ［5]Albiez M, Gati R, Folling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[6] ［6]Pedri P, Pitaevskii L, Stringari S, Fort C, Burger S, Cataliotti F S, Maddaloni P, Minardi F, Inguscio M 2001 Phys. Rev. Lett. 87 220401
[7] ［7]Adhikari S K 2003 Eur. Phys. J. D 25 161
[8] ［8]Burger S, Cataliotti F S, Fort C, Minardi F, Inguscio M, Chiofalo M L, Tosi M P 2001 Phys. Rev. Lett. 86 4447
[9] ［9] Kraer M, Pitaevskii L, Stringari S 2002 Phys. Rev. Lett. 88 180404
[10] ［10]Adhikari S K 2005 Phys. Rev. A 72 013619
[11] ［11]Wang G F, Liu H 2008 Acta. Phys. Sin. 57 0667 （in Chinese）［王冠芳、刘红 2008 57 0667］
[12] ［12]Liu Z Z, Yang Z A 2007 Acta. Phys. Sin. 56 1245 （in Chinese）［刘泽专、杨志安 2007 56 1245］
[13] ［13]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］
[14] ［14]Fang Y C, Yang Z A 2008 Acta. Phys. Sin. 57 7438 （in Chinese）［房永翠、杨志安 2008 57 7438］
[15] ［15]Yan D, Song L J, Chen D W 2009 Acta. Phys. Sin. 58 3679 （in Chinese）［严冬、宋立军、陈殿伟 2009 58 3679］
[16] ［16]Chen H J, Xue J K 2008 Acta. Phys. Sin. 57 3962 （in Chinese）［陈海军、薛具奎 2008 57 3962］
[17] ［17]Li H M 2007 Chin. Phys. 16 3187
[18] ［18]Ren J R, Guo H 2009 Chin. Phys. B 18 3379
[19] ［19]Xiong H W, Liu S J, Zhan M S 2006 Phys. Rev. 73 224505
[20] ［20]Wen L H, Li J H 2007 Phys. Lett. A 369 307
[21] ［21]Kuang L M, Ouyang Z W 2000 Phys. Rev. A 61 023604
[22] ［22]Kasamatsu K, Yasui Y, Tsubota M 2001 Phys. Rev. A 64 053605
[23] ［23]Salmond G L, Holmes C A, Milburn G J 2002 Phys. Rev. A 65 033623
[24] ［24]Lee C, Hai W, Luo X, Shi L, Gao K 2003 Phys. Rev. A 68 053614
[25] ［25]Li F, Shu W X, Luo H L, Ren Z Z 2007 Chin. Phys. 16 650
[26] ［26]Xiong B, Liu X X 2007 Chin. Phys. B 16 2578
[27] ［27]Zhou L, Kong L B, Zhou M S 2008 Chin. Phys. B 17 1601
[28] ［28]Fang J S 2008 Chin. Phys. B 17 3996
[29] ［29]Fang Y C, Yang Z A, Yang L Y 2008 Acta. Phys. Sin. 57 661 （in Chinese）［房永翠、杨志安、杨丽云 2008 57 661］
[30] ［30]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 2005 54 5003］
[31] ［31]Smerzi A, Fantoni S, Giovanazzi S, Shenoy S R 1997 Phys. Rev. Lett. 79 4950
[32] ［32]Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620
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