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在平均场近似下,通过对相平面和不动点的分析, 研究了非线性两能级系统中费米超流气体的Landau-Zener 隧穿现象. 研究发现,费米子间的相互作用能够显著地影响量子隧穿. 当相互作用参数c小于临界值c*时,在绝热极限下隧穿仍然满足量子绝热定理, 而大于这一临界值时,量子绝热定理不再满足. 最后通过和线性情况比较,得到了c*时隧穿率与扫描速率间满足的指数关系.
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关键词:
- 费米超流气体 /
- Landau-Zener 隧穿 /
- 量子绝热隧穿
By using the analysis of phase, fixed point and tunneling rate between two wells, we study the nonlinear Landau-Zener transition of Fermi superfluid gases in a two-mode system. We find that the interaction between fermi pairs can affect the quantum transition. We also find that when the interaction parameter c is less than the critical value c*, in the adiabatic limit, the quantum adiabatic transition theorem is still satisfied, but when the interaction parameter c is greater than this critical value, the quantum adiabatic transition theorem will not be satisfied. Finally, we obtain the relationship between the tunneling rate and the scan rate by comparing with the linear case.[1] [2] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[3] [4] 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 物理学报 55 5623]
[5] [6] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[7] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[8] [9] [10] 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 物理学报 57 661]
[11] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 物理学报 56 4348]
[12] [13] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 013619
[14] [15] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[16] [17] [18] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[19] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[20] [21] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[22] [23] [24] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[25] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[26] [27] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[28] [29] [30] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[31] Huang F, Li H B 2011 Acta Phys. Sin. 60 020303 (in Chinese) [黄芳, 李海彬 2011 物理学报 60 020303]
[32] [33] Wu B, Liu J 2006 Phys. Rev. Lett. 96 020405
[34] [35] [36] 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 物理学报 54 5003]
[37] [38] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[39] Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[40] [41] [42] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[43] [44] Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[45] [46] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[47] Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[48] [49] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[50] [51] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
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[1] [2] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[3] [4] 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 物理学报 55 5623]
[5] [6] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[7] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[8] [9] [10] 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 物理学报 57 661]
[11] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 物理学报 56 4348]
[12] [13] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 013619
[14] [15] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[16] [17] [18] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[19] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[20] [21] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[22] [23] [24] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[25] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[26] [27] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[28] [29] [30] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[31] Huang F, Li H B 2011 Acta Phys. Sin. 60 020303 (in Chinese) [黄芳, 李海彬 2011 物理学报 60 020303]
[32] [33] Wu B, Liu J 2006 Phys. Rev. Lett. 96 020405
[34] [35] [36] 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 物理学报 54 5003]
[37] [38] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[39] Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[40] [41] [42] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[43] [44] Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[45] [46] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[47] Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[48] [49] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[50] [51] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
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