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Based on Bose-Einstein condensation in minimized momentum state, the optimization criterion of potential is studied for trapped weakly interacting Bose gas according to Thomas-Fermi approximation. A criterion for the validity of potential and the limited atom number loaded in a power law attractive potential well for ultra-cold weakly interacting Bose atom gas is derived. The criterion gives the required potential field strength when the loaded atom number is fixed, or the limited atom number when the potential field strength is given, and then, the best ranges of potential field strength are obtained, for attractive interaction and repulsive interaction, respectively.
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Keywords:
- Bose-Einstein condensation /
- weakly interacting /
- limiting number of particles /
- potential field strength intensity
[1] Ying J P, Wang Z L 2005 Progress in Physics 25 235 (in Chinese) [印建平、王正岭 2005 物理学进展 25 235]
[2] Andersen J O 2004 Rev. Mo. Phys. 76 599
[3] Qi R, Yu X, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[4] Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[5] Ji C, Liu W M, Song J L, Zhou F 2008 Phys. Rev. Lett. 101 010402
[6] Xie Z W, Cao Z X, Kats E I, Liu W M 2005 Phys. Rev. A 71 025601
[7] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 10408
[8] Yuan D Q 2010 Acta Phys. Sin. 59 5271(in Chinese) [袁都奇 2010 59 5271]
[9] Zhou Z, Yu H Y,Yan J R 2010 Chin. Phys. B 19 010304
[10] Li G Q,Chen H J,Xue J K 2010 Acta Phys. Sin. 59 1449 (in Chinese)[李高清、陈海军、薛具魁2010 59 1449]
[11] Wang Y Y, Zhang J F 2009 Chin. Phys. B 18 1168
[12] Ding J W, He Z M, Wang D L, Xi Y D 2009 Chin. Phys. B 18 939
[13] Li H, Wang D N 2009 Chin. Phys. B 18 4726
[14] Li G Q, Peng P 2009 Chin. Phys. B 18 3221
[15] Yu X C, Mo Y 2004 Acta Phys. Sin. 53 4075(in Chinese)[余学才、莫 影 2004 53 4075]
[16] Yu X C, Ye Y T, Cheng L 2006 Acta Phys. Sin. 55 0551 (in Chinese)[余学才、叶玉堂、程 琳 2006 55 0551]
[17] Yu X C, Ye Y T, Wu Y F, Xie K, Cheng L 2005 Science in China G 48 521
[18] Chou T T, Yang C,Yu L H 1997 Phys. Rev. A 4 257
[19] Bagnato V, Pritchard D E, Kleppner D 1987 Phys. Rev. A 35 4254
[20] Yang Z Y 2007 Quantum Statistical Physics (Beijing: Higher Education Press)P109 (in chinese)[杨展如 2007 量子统计物理学(北京:高等教育出版社)第109页]
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[1] Ying J P, Wang Z L 2005 Progress in Physics 25 235 (in Chinese) [印建平、王正岭 2005 物理学进展 25 235]
[2] Andersen J O 2004 Rev. Mo. Phys. 76 599
[3] Qi R, Yu X, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[4] Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[5] Ji C, Liu W M, Song J L, Zhou F 2008 Phys. Rev. Lett. 101 010402
[6] Xie Z W, Cao Z X, Kats E I, Liu W M 2005 Phys. Rev. A 71 025601
[7] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 10408
[8] Yuan D Q 2010 Acta Phys. Sin. 59 5271(in Chinese) [袁都奇 2010 59 5271]
[9] Zhou Z, Yu H Y,Yan J R 2010 Chin. Phys. B 19 010304
[10] Li G Q,Chen H J,Xue J K 2010 Acta Phys. Sin. 59 1449 (in Chinese)[李高清、陈海军、薛具魁2010 59 1449]
[11] Wang Y Y, Zhang J F 2009 Chin. Phys. B 18 1168
[12] Ding J W, He Z M, Wang D L, Xi Y D 2009 Chin. Phys. B 18 939
[13] Li H, Wang D N 2009 Chin. Phys. B 18 4726
[14] Li G Q, Peng P 2009 Chin. Phys. B 18 3221
[15] Yu X C, Mo Y 2004 Acta Phys. Sin. 53 4075(in Chinese)[余学才、莫 影 2004 53 4075]
[16] Yu X C, Ye Y T, Cheng L 2006 Acta Phys. Sin. 55 0551 (in Chinese)[余学才、叶玉堂、程 琳 2006 55 0551]
[17] Yu X C, Ye Y T, Wu Y F, Xie K, Cheng L 2005 Science in China G 48 521
[18] Chou T T, Yang C,Yu L H 1997 Phys. Rev. A 4 257
[19] Bagnato V, Pritchard D E, Kleppner D 1987 Phys. Rev. A 35 4254
[20] Yang Z Y 2007 Quantum Statistical Physics (Beijing: Higher Education Press)P109 (in chinese)[杨展如 2007 量子统计物理学(北京:高等教育出版社)第109页]
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