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We investigate the dynamics of a quantized vortex in a trapped superfluid Fermi gas near the unitarity limit. By taking a trial wave function for the order-parameter of a condensate in a rotating axisymmetric trap confinement and using a time-dependent variational analysis we obtain the equations of motion and their solutions for anomalous mode. The results show that the critical rotating frequency of the trap increases when the system ranges from the left to the right side of the unitarity limit, while the period of the vortex decreases in this regime.
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Keywords:
- Fermi gas /
- vortex /
- unitarity limit
[1] Giorgini S, Pitaevskii L P, Stringari S 2008 Rev. Mod. Phys. 80 1215
[2] Zwerger W 2012 The BCS-BEC Crossover and the Unitary Fermi Gas (Berlin: Springer-Verlag)
[3] Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[4] Fetter A L 2009 Rev. Mod. Phys. 81 647
[5] Kinast K, Turlapov A, Thomas J E 2005 Phys. Rev. Lett. 94 170404
[6] Stringari S 2004 Europhys. Lett. 64 749
[7] Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[8] Wen W, Li H J, Chen B Y 2012 Acta Phys. Sin. 61 220306 (in Chinese) [文文, 李慧军, 陈秉岩 2012 61 220306]
[9] Yin J, Ma Y L, Huang G 2006 Phys. Rev. A 74 013609
[10] Adhikari S K 2010 J. Phys. B: At. Mol. Opt. Phys. 43 085304
[11] Yang S R, Cai H Q, Qi W, Xue J K 2011 Acta Phys. Sin. 60 060304 (in Chinese) [杨树荣, 蔡宏强, 漆伟, 薛具奎 2011 60 060304]
[12] Salasnich L 2011 Europhys. Lett. 96 40007
[13] Liu K, Chen J S 2010 Chin. Phys. B 20 020501
[14] Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[15] Pitaevskii L, Stringari S 2002 Science 298 2144
[16] Hu H, Liu X J 2007 Phys. Rev. A 75 011603
[17] Linn M, Fetter A L 1999 Phys. Rev. A 60 4910
[18] Fetter A L, Svidzinsky A A 2001 J. Phys.: Condens. Matter 13 R135
[19] Zhukov A V, Belonenko M B, Paliy M, George T F 2011 J. Phys. B: At. Mol. Opt. Phys. 44 165301
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[1] Giorgini S, Pitaevskii L P, Stringari S 2008 Rev. Mod. Phys. 80 1215
[2] Zwerger W 2012 The BCS-BEC Crossover and the Unitary Fermi Gas (Berlin: Springer-Verlag)
[3] Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[4] Fetter A L 2009 Rev. Mod. Phys. 81 647
[5] Kinast K, Turlapov A, Thomas J E 2005 Phys. Rev. Lett. 94 170404
[6] Stringari S 2004 Europhys. Lett. 64 749
[7] Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[8] Wen W, Li H J, Chen B Y 2012 Acta Phys. Sin. 61 220306 (in Chinese) [文文, 李慧军, 陈秉岩 2012 61 220306]
[9] Yin J, Ma Y L, Huang G 2006 Phys. Rev. A 74 013609
[10] Adhikari S K 2010 J. Phys. B: At. Mol. Opt. Phys. 43 085304
[11] Yang S R, Cai H Q, Qi W, Xue J K 2011 Acta Phys. Sin. 60 060304 (in Chinese) [杨树荣, 蔡宏强, 漆伟, 薛具奎 2011 60 060304]
[12] Salasnich L 2011 Europhys. Lett. 96 40007
[13] Liu K, Chen J S 2010 Chin. Phys. B 20 020501
[14] Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[15] Pitaevskii L, Stringari S 2002 Science 298 2144
[16] Hu H, Liu X J 2007 Phys. Rev. A 75 011603
[17] Linn M, Fetter A L 1999 Phys. Rev. A 60 4910
[18] Fetter A L, Svidzinsky A A 2001 J. Phys.: Condens. Matter 13 R135
[19] Zhukov A V, Belonenko M B, Paliy M, George T F 2011 J. Phys. B: At. Mol. Opt. Phys. 44 165301
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