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In the mean-field theory and two-mode approximation, we study the self-trapping of superfluid Fermi gases in the BEC regime and in unitarity by observing the evolution of the population imbalance with time and the variation of the average of population imbalance with several non-linear interaction parameters. The high-frequency modulations of both the symmetric double-well potential and the potential well are studied. The boundary conditions of the self-trapping and non-self-trapping are given. We find that high-frequency modulation in a certain range of modulation can make the self-trapping phenomenon easier to achieve. Finally, we study the influence of the initial value on self-trapping, and find that the increase of the absolute of the initial value can make the self-trapping more conducive to the realization.
[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science E 269 198
[2] 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]
[3] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[4] Zhang J M, Liu W M, Zhou D L 2008 Phys. Rev. A 78 043618
[5] Xie Z W , Zhang W P, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[6] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[7] Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[8] 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]
[9] 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]
[10] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[11] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[12] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[13] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[14] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[15] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[16] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[17] Wu B, Liu J 2006 Phys. Rev. Lett. 96 020405
[18] Wu Y , Yang X X 2007 Phys. Rev. Lett. 98 013601
[19] Wu Y , Yang X X 2003 Phys. Rev. A. 68 013608
[20] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[21] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[22] 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]
[23] 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]
[24] Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[25] Ancilotto F, Salasnich L, Toigo F, Salasnich L 2009 Phys. Rev. A 79 033627
[26] Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[27] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[28] Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[29] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[30] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
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[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science E 269 198
[2] 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]
[3] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[4] Zhang J M, Liu W M, Zhou D L 2008 Phys. Rev. A 78 043618
[5] Xie Z W , Zhang W P, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[6] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[7] Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[8] 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]
[9] 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]
[10] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[11] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[12] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[13] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[14] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[15] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[16] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[17] Wu B, Liu J 2006 Phys. Rev. Lett. 96 020405
[18] Wu Y , Yang X X 2007 Phys. Rev. Lett. 98 013601
[19] Wu Y , Yang X X 2003 Phys. Rev. A. 68 013608
[20] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[21] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[22] 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]
[23] 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]
[24] Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[25] Ancilotto F, Salasnich L, Toigo F, Salasnich L 2009 Phys. Rev. A 79 033627
[26] Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[27] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[28] Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[29] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[30] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
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