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The self-trapping of superfluid Fermi gases in the Bose-Einstein condensation regime and in unitarity

Wang Wen-Yuan Yang Yang Meng Hong-Juan Ma Ying Qi Peng-Tang Ma Yun-Yun Duan Wen-Shan

The self-trapping of superfluid Fermi gases in the Bose-Einstein condensation regime and in unitarity

Wang Wen-Yuan, Yang Yang, Meng Hong-Juan, Ma Ying, Qi Peng-Tang, Ma Yun-Yun, Duan Wen-Shan
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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.
    • Funds: Project supported by the National Basis Research Program of China (Grant Nos. 2007CB814800, 2011CB921503), National Natural Science Foundation of China (Grant Nos. 10725521, 91021021, 10875098) and the Natural Science Foundation of Northwest Normal University, China (Grant No. NWNU-KJCXGC-03-48).
    [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

  • [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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    [9] Xing Yao-Liang, Yang Zhi-An. Self-trapping and periodic modulation of beam propagation in semiconductor photorefractive medium. Acta Physica Sinica, 2013, 62(13): 130302. doi: 10.7498/aps.62.130302
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  • Received Date:  14 September 2011
  • Accepted Date:  28 May 2012
  • Published Online:  20 May 2012

The self-trapping of superfluid Fermi gases in the Bose-Einstein condensation regime and in unitarity

  • 1. Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
Fund Project:  Project supported by the National Basis Research Program of China (Grant Nos. 2007CB814800, 2011CB921503), National Natural Science Foundation of China (Grant Nos. 10725521, 91021021, 10875098) and the Natural Science Foundation of Northwest Normal University, China (Grant No. NWNU-KJCXGC-03-48).

Abstract: 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.

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