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We investigate the relationships between the nonlinear Ramsey interference pattern of the angular frequency and system parameters of fermi superfluid gase in unitarity regime in three limited cases. We find that the interaction between fermions and the difference in energy between double-well potentials have a significant influence on the angular frequency of the interference pattern. Through numerical simulation and theoretical analysis, the relationship between angular frequency of the interference pattern and the system parameters is given, and the numerical simulations and theoretical analyses are in good agreement.
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Keywords:
- Fermi superfluid gases /
- nonlinear Ramsey interference
[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 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 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] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[5] Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 0661 (in chinese) [房永翠, 杨志安, 杨丽云 2008 57 0661]
[6] Sun Q, Hu X H, Liu W M, Xie X C, Ji A C 2011 Phys. Rev. A 84 023822
[7] 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 56 4348]
[8] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[9] Wen W, Huang G X 2009 Phys. Rev. A 79 023605
[10] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[11] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[12] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[13] Men F D, Liu H, Fan Z L,Zhu H Y 2009 Chin. Phys. B 18 2649
[14] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[15] Wu B, Liu J 2006 Phys. Rev. Lett. 96 020405
[16] Wang W Y, Duan W S, Sun J A, Yang Y 2011 Eur. Phys. J. B 84 283
[17] 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 54 5003]
[18] Wu Y , Yang X X 2007 Phys. Rev. Lett. 98 013601
[19] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[20] Ramsey N F 1950 Phys. Rev. 78 695
[21] Seidel D, and Muga J G 2007 Phys. Rev. A 75 023811
[22] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[23] Li S C 2010 J. Phys. B: At. Mol. Opt. Phys. 43 205303
[24] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[25] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
[26] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[27] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[28] Meng H J, Yang Y, Wang W Y, Qi P T, Ma Y Y, Ma Y, Wang S J, Duan W S 2012 Acta Phys. Sin. 61 060303(in Chinese) [蒙红娟, 杨阳, 王文元, 祁鹏堂, 马云云, 马莹, 王善进, 段文山 2012 61 060303]
[29] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
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[1] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 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 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] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[5] Fang Y C, Yang Z A, Yang L Y 2008 Acta Phys. Sin. 57 0661 (in chinese) [房永翠, 杨志安, 杨丽云 2008 57 0661]
[6] Sun Q, Hu X H, Liu W M, Xie X C, Ji A C 2011 Phys. Rev. A 84 023822
[7] 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 56 4348]
[8] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[9] Wen W, Huang G X 2009 Phys. Rev. A 79 023605
[10] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[11] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[12] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[13] Men F D, Liu H, Fan Z L,Zhu H Y 2009 Chin. Phys. B 18 2649
[14] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[15] Wu B, Liu J 2006 Phys. Rev. Lett. 96 020405
[16] Wang W Y, Duan W S, Sun J A, Yang Y 2011 Eur. Phys. J. B 84 283
[17] 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 54 5003]
[18] Wu Y , Yang X X 2007 Phys. Rev. Lett. 98 013601
[19] Liu J, Fu L B, Ou B Y, Chen S G, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[20] Ramsey N F 1950 Phys. Rev. 78 695
[21] Seidel D, and Muga J G 2007 Phys. Rev. A 75 023811
[22] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[23] Li S C 2010 J. Phys. B: At. Mol. Opt. Phys. 43 205303
[24] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[25] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
[26] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[27] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[28] Meng H J, Yang Y, Wang W Y, Qi P T, Ma Y Y, Ma Y, Wang S J, Duan W S 2012 Acta Phys. Sin. 61 060303(in Chinese) [蒙红娟, 杨阳, 王文元, 祁鹏堂, 马云云, 马莹, 王善进, 段文山 2012 61 060303]
[29] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
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