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考虑玻色-爱因斯坦凝聚体局限于周期性的双色光晶格势阱中，研究其中的Bloch能带结构、第一能隙和第二能隙的Landau-Zener隧穿行为.结果表明，随着双色光晶格势阱的主、次晶格相位差从0增加到π,Bloch能带中第一能隙宽度逐渐增加，而第二能隙宽度逐渐减小.同时发现，双色光晶格势阱的主、次晶格深度及其相位差对第一能隙和第二能隙的Landau-Zener隧穿性质有重要的影响.
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关键词:
- 玻色-爱因斯坦凝聚体 /
- 双色光晶格势阱 /
- Landau-Zener隧穿
With considering Bose-Einstein condensates to be confined in a periodic dichromatic optical lattice, Bloch energy band structure and Landau-Zener tunneling behaviors of the first and second band gaps are studied in this paper. It is shown that when the relative phase between the two lattices increases from 0 to π, the width of the first band gap in the Bloch energy band increases, while the width of the second band gap decreases. Meanwhile, it is found that the depth and the relative phase between the two lattices have both an important effect on Landau-Zener tunneling properties.[1] ［1］Anderson B P, Kasevich M A 1998 Science 282 1686
[2] ［2］Cataliotti F S, Burger S, Fort C, Maddaloni P, Minardi F, Trombettoni A, Smerzi A, Inguscio M 2001 Science 293 843
[3] ［3］Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[4] ［4］Fang Y C, Yang Z A 2008 Acta Phys. Sin. 57 7438 (in Chinese) ［房永翠、杨志安 2008 57 7438］
[5] ［5］Li Z D, Li Q Y, Hu X H, Zheng Z X, Sun Y B 2007 Ann. Phys. (New York) 322 2545
[6] ［6］Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602
[7] ［7］Wang S, Yang Z A 2009 Acta Phys. Sin. 58 729 (in Chinese) ［王沙、杨志安 2009 58 729］
[8] ［8］Wang S, Yang Z A 2009 Acta Phys. Sin. 58 3699 (in Chinese) ［王沙、杨志安 2009 58 3699］
[9] ［9］Li Z D, Li Q Y 2007 Ann. Phys. (New York) 322 1961
[10] ］Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) ［王冠芳、刘彬、傅立斌、赵鸿 2007 56 3733］
[11] ］Xiong B, Liu X X 2007 Chin. Phys. 16 2578
[12] ］Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[13] ］Li Q Y, Li Z D, Wang S X, Song W W, Fu G S 2009 Opt. Commun. 282 1676
[14] ］Morsch O, Müller J H, Cristiani M, Ciampini D, Arimondo E 2001 Phys. Rev. Lett. 87 140402
[15] ］Cristiani M, Morsch O, Müller J H, Ciampini D, Arimondo E 2 2002 Phys. Rev. A 65 063612
[16] ］Jona L M, Morsch O, Cristiani M, Malossi N, Müller J H, Courtade E, Anderlini M, Arimondo E 2003 Phys. Rev. Lett. 91 230406
[17] ］Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620
[18] ］Mullen K, Ben-Jacob E, Schuss Z 1988 Phys. Rev. Lett. 60 1097
[19] ］Sibille A, Palmier J F, Laruelle F 1998 Phys. Rev. Lett. 80 4506
[20] ］Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B, Raizen M G 1997 Phys. Rev. A 55 857
[21] ］Madison K W, Bharucha C F, Morrow P R, Wilkinson S R, Niu Q, Sundaram B, Raizen M G 1997 Appl. Phys. B 65 693
[22] ］Niu Q, Zhao X G, Georgakis G A, Raizen M G 1996 Phys. Rev. Lett. 76 4504
[23] ］Wu B, Niu Q 2003 New J. Phys. 5 104
[24] ］Ritt G, Geckeler C, Salger T, Cennini G, Weitz M 2006 Phys. Rev. A 74 063622
[25] ］Salger T, Geckeler C, Kling S, Weitz M 2007 Phys. Rev. Lett. 99 190405
[26] ］Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[27] ］Wei X F, Tang R A, Yong W M, Xue J K 2008 Chin. Phys. Lett. 25 1564
[28] ］Zener C 1934 Proc. R. Soc. London A 145 523
[29] ］Landau L D 1932 Phys. Z. Sowjetunion 2 46
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[1] ［1］Anderson B P, Kasevich M A 1998 Science 282 1686
[2] ［2］Cataliotti F S, Burger S, Fort C, Maddaloni P, Minardi F, Trombettoni A, Smerzi A, Inguscio M 2001 Science 293 843
[3] ［3］Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[4] ［4］Fang Y C, Yang Z A 2008 Acta Phys. Sin. 57 7438 (in Chinese) ［房永翠、杨志安 2008 57 7438］
[5] ［5］Li Z D, Li Q Y, Hu X H, Zheng Z X, Sun Y B 2007 Ann. Phys. (New York) 322 2545
[6] ［6］Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602
[7] ［7］Wang S, Yang Z A 2009 Acta Phys. Sin. 58 729 (in Chinese) ［王沙、杨志安 2009 58 729］
[8] ［8］Wang S, Yang Z A 2009 Acta Phys. Sin. 58 3699 (in Chinese) ［王沙、杨志安 2009 58 3699］
[9] ［9］Li Z D, Li Q Y 2007 Ann. Phys. (New York) 322 1961
[10] ］Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) ［王冠芳、刘彬、傅立斌、赵鸿 2007 56 3733］
[11] ］Xiong B, Liu X X 2007 Chin. Phys. 16 2578
[12] ］Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[13] ］Li Q Y, Li Z D, Wang S X, Song W W, Fu G S 2009 Opt. Commun. 282 1676
[14] ］Morsch O, Müller J H, Cristiani M, Ciampini D, Arimondo E 2001 Phys. Rev. Lett. 87 140402
[15] ］Cristiani M, Morsch O, Müller J H, Ciampini D, Arimondo E 2 2002 Phys. Rev. A 65 063612
[16] ］Jona L M, Morsch O, Cristiani M, Malossi N, Müller J H, Courtade E, Anderlini M, Arimondo E 2003 Phys. Rev. Lett. 91 230406
[17] ］Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620
[18] ］Mullen K, Ben-Jacob E, Schuss Z 1988 Phys. Rev. Lett. 60 1097
[19] ］Sibille A, Palmier J F, Laruelle F 1998 Phys. Rev. Lett. 80 4506
[20] ］Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B, Raizen M G 1997 Phys. Rev. A 55 857
[21] ］Madison K W, Bharucha C F, Morrow P R, Wilkinson S R, Niu Q, Sundaram B, Raizen M G 1997 Appl. Phys. B 65 693
[22] ］Niu Q, Zhao X G, Georgakis G A, Raizen M G 1996 Phys. Rev. Lett. 76 4504
[23] ］Wu B, Niu Q 2003 New J. Phys. 5 104
[24] ］Ritt G, Geckeler C, Salger T, Cennini G, Weitz M 2006 Phys. Rev. A 74 063622
[25] ］Salger T, Geckeler C, Kling S, Weitz M 2007 Phys. Rev. Lett. 99 190405
[26] ］Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[27] ］Wei X F, Tang R A, Yong W M, Xue J K 2008 Chin. Phys. Lett. 25 1564
[28] ］Zener C 1934 Proc. R. Soc. London A 145 523
[29] ］Landau L D 1932 Phys. Z. Sowjetunion 2 46
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