| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Korteweg de Vries Description of One-Dimensional Superfluid Fermi Gases |
| XU Yan-Xia, DUAN Wen-Shan**
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College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070
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XU Yan-Xia, DUAN Wen-Shan 2011 Chin. Phys. Lett. 28 125203 |
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Abstract We study one-dimensional matter-wave pulses in cigar-shaped superfluid Fermi gases, including the linear and nonlinear waves of the system. A Korteweg de Vries (KdV) solitary wave is obtained for the superfluid Fermi gases in the limited case of a BEC regime, a BCS regime and unitarity. The dependences of the propagation velocity, amplitude and the width of the solitary wave on the dimensionless interaction parameter y=1/(kF asc) are given for the limited cases of BEC and unitarity.
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| Keywords:
52.35.Sb
52.25.Xz
05.45.Yv
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Received: 29 March 2011
Published: 29 November 2011
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[1] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198
[2] Dutton Z, Budde M, Slowe C and Hau L V 2001 Science 293 663
[3] Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
[4] Butts D A and Rokhsar D S 1999 Nature 397 327
[5] Wu B, Liu J and Niu Q 2002 Phys. Rev. Lett. 88 034101
[6] Dalfovo F, Giorgini S, Pitaevskii L and Stringari S 1999 Rev. Mod. Phys. 71 463
[7] Liu X X, Pu H, Xiong B, Liu W M and Gong J B 2009 Phys. Rev. A 79 013423
[8] Zhang J M, Cui F C, Zhou D L and Liu W M 2009 Phys. Rev. A 79 033401
[9] Kengne E, Chui S T and Liu W M 2006 Phys. Rev. E 74 036614
[10] Zhang X F, Hu X H, Liu X X and Liu W M 2009 Phys. Rev. A 79 033630
[11] Liu J, Zhang C, Raizen M G and Niu Q 2006 Phys. Rev. A 73 013601
[12] Liu J, Wang W, Zhang C, Niu Q and Li B 2005 Phys. Rev. A 72 063623
[13] Li B, Li Y Q, Chen Y, Zhang X F and Liu W M 2008 Phys. Rev. A 78 023608
[14] Brazhnyi V A and Kamchatnov A M 2003 Phys. Rev. A 68 043614
[15] Reinhardt W P and Clark C W 1997 J. Phys. B 30 L785
[16] Scott T F, Ballagh R J and Burnett K 1998 J. Phys. B 31 L329
[17] Antezza M, Dalfovo F, Pitaevskii L P and Stringari S 2007 Phys. Rev. A 76 043610
[18] Ancilotto F, Salasnich L and Toigo F 2009 Phys. Rev. A 79 033627
[19] Adhikari S K and Salasnich L 2008 Phys. Rev. A 78 043616
[20] Adhikari S K 2008 Phys. Rev. A 77 045602
[21] Adhikari S K, Lu H and Pu H 2009 Phys. Rev. A 80 063607
[22] Huang G X 2001 Chin. Phys. Lett. 18 628
[23] Huang G X, Velarde M G and Makarov V A 2001 Phys. Rev. A 64 013617
[24] Huang G X, Makarov V A and Velarde M G 2003 Phys. Rev. A 67 023604
[25] Görlitz A, Vogells J M, Leanhardt A E, Raman C, Gustavson T L, Abo-Shaeer J R, Chikkatur A P, Gupta S, Inouye S, Rosenband T and Ketterle W 2001 Phys. Rev. Lett. 87 130402
[26] Cao S, Ma Y and Huang G 2009 Phys. Rev. A 79 013620
[27] Wen W, Zhou Y and Huang G X 2008 Phys. Rev. A 77 033623
[28] Wen W and Huang G X 2009 Phys. Rev. A 79 023605
[29] Wen W, Shen S Q and Huang G X 2010 Phys. Rev. B 81 014528
[30] Stewart J T, Gaebler J P, Regal C A and Jin D S 2006 Phys. Rev. Lett. 97 220406
[31] Joseph J, Clancy B, Luo L, Kinast J, Turlapov A and Thomas J E 2007 Phys. Rev. Lett. 98 170401
[32] Adhikari S K and Malomed B A 2008 Phys. Rev. A 77 023607
[33] Xue J K and Zhang A X 2008 Phys. Rev. Lett. 101 180401
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