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The change of phase space and periodic modulation of Fermi gas from the BCS to unitarity is investigated in one-dimensional optical lattice. Through controlling the scattering length and coupling constant in unitarity, we find the critical values (from the Josephson oscillation to the oscillating-phase-type self-trapping and from the latter to the self-trapping), at the same time, we also find the relationship between the critical coupling constants and the scattering length.
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Keywords:
- Fermi gases /
- self-trapping /
- periodic modulation
[1] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[2] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[3] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[4] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[5] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[6] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404 Liu J, Wu B, Niu Q 2005 Phys. Rev. Lett. 94 140402
[7] Mu 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]
[8] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[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] Jochin S, Bartenstein M, Altmeyer A, Hendl G, Chin C, Hecker Denschlag J, Grimm R 2004 Phys. Rev. Lett. 91 240402
[12] Qi P T, Duan W S 2011 Phys. Rev. A 84 033627
[13] Adhikari S K, Malomed B A, Salasnich L, Toigo F 2010 Phys. Rev. A 81 053630
[14] Cheng Y S, Adhikari S K, 2011 Phys. Rev. A 84 023632
[15] 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]
[16] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[17] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Qiu Q 2002 Phys. Rev. A 66 023404
[18] Wang W Y, Meng H J, Yang Y, Qi P T, Ma Y Y, Ma Y, Duan W S 2012 Acta Phys. Sin. 61 087302 (in Chinese) [王文元, 蒙红娟, 杨阳, 祁鹏堂, 马云云, 马莹, 段文山 2012 物理学报 61 087302]
[19] Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402
[20] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[21] Inguscio M 2002 Phys. Rev. Lett. 89 150403
[22] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[23] Adhikari S.K, Salasnich L 2008 Phys. Rev. A 78 043616
[24] Fu L B, Liu J, Chen S G 2002 Phys. Rev. A 298 388
[25] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[26] 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]
[27] Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B, Raizen M G 1997 Phys. Rev. A 55 R857
[28] Madison K W, Bharucha C F, Morrow P R, Wilkinson S R, Niu Q, Sunaram B, Raizen M G 1997 Appl. Phys. B: Lasers Opt. 65 693
[29] Qi P T, Duan W S 2011 Phys. Rev. A 84 033627
[30] Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Mod. Phys. 71 463
[31] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Inguscio M 2002 Science 297 2240
[32] Volz T, Drr S, Ernst S, Marte A, Rempe G 2003 Phys. Rev. A 68 010702
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[1] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[2] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[3] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[4] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[5] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[6] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404 Liu J, Wu B, Niu Q 2005 Phys. Rev. Lett. 94 140402
[7] Mu 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]
[8] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[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] Jochin S, Bartenstein M, Altmeyer A, Hendl G, Chin C, Hecker Denschlag J, Grimm R 2004 Phys. Rev. Lett. 91 240402
[12] Qi P T, Duan W S 2011 Phys. Rev. A 84 033627
[13] Adhikari S K, Malomed B A, Salasnich L, Toigo F 2010 Phys. Rev. A 81 053630
[14] Cheng Y S, Adhikari S K, 2011 Phys. Rev. A 84 023632
[15] 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]
[16] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[17] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Qiu Q 2002 Phys. Rev. A 66 023404
[18] Wang W Y, Meng H J, Yang Y, Qi P T, Ma Y Y, Ma Y, Duan W S 2012 Acta Phys. Sin. 61 087302 (in Chinese) [王文元, 蒙红娟, 杨阳, 祁鹏堂, 马云云, 马莹, 段文山 2012 物理学报 61 087302]
[19] Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402
[20] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[21] Inguscio M 2002 Phys. Rev. Lett. 89 150403
[22] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[23] Adhikari S.K, Salasnich L 2008 Phys. Rev. A 78 043616
[24] Fu L B, Liu J, Chen S G 2002 Phys. Rev. A 298 388
[25] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[26] 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]
[27] Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B, Raizen M G 1997 Phys. Rev. A 55 R857
[28] Madison K W, Bharucha C F, Morrow P R, Wilkinson S R, Niu Q, Sunaram B, Raizen M G 1997 Appl. Phys. B: Lasers Opt. 65 693
[29] Qi P T, Duan W S 2011 Phys. Rev. A 84 033627
[30] Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Mod. Phys. 71 463
[31] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Inguscio M 2002 Science 297 2240
[32] Volz T, Drr S, Ernst S, Marte A, Rempe G 2003 Phys. Rev. A 68 010702
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