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The collective excitations of a one-dimensional superfluid Fermi gas in an anharmonic trap are investigated. By using the variational approach, the frequency shifts about the dipole mode of the center-of-mass variations and the breathing mode of width variations are derived. It is found that the frequency shift in a unitary region is more significant. Under the excitations of different driving amplitudes, the two low-energy modes are coupled due to the contribution of the quartic item, and the quantum beating phenomenon comes into being. The frequency of beating increases with the driving amplitude. The dynamics of the width exhibits complex characteristics, especially, in the unitary region.
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Keywords:
- superfluid Fermi gas /
- anharmonic potential /
- collective excitations
[1] Hara K M, Hemmer S L, Gehm M E 2002 Science 298 5601
[2] Loftus T, Regsl C A, Ticknor C 2002 Phys. Rev. Lett. 88 173201
[3] Greiner M 2003 Nature 426 537
[4] Regal C A, Greiner M, Jin D S 2004 Phys. Rev. Lett. 92 040403
[5] Zhao X D, Xie Z W, Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese) [赵兴东, 些征微, 张卫平 2007 56 6358]
[6] 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]
[7] Zhou L, Kong L B, Zhan M S 2008 Chin. Phys. B 17 1601
[8] Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) [王冠芳, 刘彬, 傅立斌, 赵鸿 2007 56 3733]
[9] Chin J K 2006 Nature 443 961
[10] Rodriguez M, Tòrma P 2004 Phys. Rev. A 69(R) 041602
[11] Zhai H, Ho T L 2007 Phys. Rev. Lett. 99 10042
[12] Moon E G, Nikolić P, Sachdev S 2007 Phys. Rev. Lett. 99 230403
[13] Pitaevskii L P, Stringari S, Orso G 2005 Phys. Rev. A 71 053602
[14] Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[15] Manini N , Salasnich L 2005 Phys. Rev. A 71 033625
[16] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623
[17] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[18] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[19] Chin C, Bartenstein M, Altmeyer A 2004 Science 305 5687
[20] Li G Q, Fu L B, Xue J K, Chen X Z, Liu J 2006 Phys. Rev. A 74 055601
[21] Jin D S, Ensher J R, Matthews M R 1996 Phys. Rev. Lett. 77 420423
[22] Zhang A X, Xue J K 2009 Phys. Rev. A 80 043617
[23] Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401
[24] Wu Y, Yang X 2007 Phys. Rev. A 76 013832
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[1] Hara K M, Hemmer S L, Gehm M E 2002 Science 298 5601
[2] Loftus T, Regsl C A, Ticknor C 2002 Phys. Rev. Lett. 88 173201
[3] Greiner M 2003 Nature 426 537
[4] Regal C A, Greiner M, Jin D S 2004 Phys. Rev. Lett. 92 040403
[5] Zhao X D, Xie Z W, Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese) [赵兴东, 些征微, 张卫平 2007 56 6358]
[6] 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]
[7] Zhou L, Kong L B, Zhan M S 2008 Chin. Phys. B 17 1601
[8] Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) [王冠芳, 刘彬, 傅立斌, 赵鸿 2007 56 3733]
[9] Chin J K 2006 Nature 443 961
[10] Rodriguez M, Tòrma P 2004 Phys. Rev. A 69(R) 041602
[11] Zhai H, Ho T L 2007 Phys. Rev. Lett. 99 10042
[12] Moon E G, Nikolić P, Sachdev S 2007 Phys. Rev. Lett. 99 230403
[13] Pitaevskii L P, Stringari S, Orso G 2005 Phys. Rev. A 71 053602
[14] Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[15] Manini N , Salasnich L 2005 Phys. Rev. A 71 033625
[16] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623
[17] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[18] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[19] Chin C, Bartenstein M, Altmeyer A 2004 Science 305 5687
[20] Li G Q, Fu L B, Xue J K, Chen X Z, Liu J 2006 Phys. Rev. A 74 055601
[21] Jin D S, Ensher J R, Matthews M R 1996 Phys. Rev. Lett. 77 420423
[22] Zhang A X, Xue J K 2009 Phys. Rev. A 80 043617
[23] Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401
[24] Wu Y, Yang X 2007 Phys. Rev. A 76 013832
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