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We study the evolution of the interference patterns of strongly interacting Fermi gases in a harmonic trap after removal of the optical lattice, by numerically solving the superfluid order-parameter equation. We find that for the strongly interacting Fermi gas elastic collisions during the expansion blur the interference peaks. In order to obtain a nearly ballistic expansion, the fast magnetic field ramp technique is applied in experiment. We simulate the fast magnetic field ramp process before expansions of strongly interacting Fermi gases. We find that clear interference patterns are formed, and oscillate for a long time in the harmonic trap. We also calculate the interference patterns in different superfluid regimes, which accord with the experimental observations.
[1] Pitaevskii L P, Stringari S 2008 Rev. Mod. Phys. 80 1215
[2] Inouye, Andrews M R, Stenger J, Miesner H J, Stamperkurn, Ketterle W 1998 Nature 392 151
[3] Bloch I, Dalibard J, Zwerger W 2008 Rev. Mod. Phys. 80 885
[4] Morsch O, Oberthaler M 2006 Rev. Mod. Phys. 78 179
[5] Greiner M, Mandel O, Esslinger T, Hänsch, 2002 Nature 415 39
[6] Chin J K, Miller D E, Liu Y, Stan C, Setiawan W, Sanner C, Xu K, Ketterle W 2006 Nature 443 961
[7] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623
[8] Liu S J, Wen W, Huang G X 2012 Int. J. Mod. Phys. B 26 1250017
[9] Liu S J, Xiong H W, Xu Z J, Huang G X 2006 J. Phys. B: At. Mol. Opt. Phys. 36 2083
[10] Xu Z J, Cheng C, Yang H S, Wu q, Xiong H W 2004 Acta Phys. Sin. 53 2835 (in Chinese) [徐志君, 程成, 杨欢耸, 武强, 熊宏伟 2004 53 2835]
[11] Müller J H, Morsch O, Cristiani M, Ciampini D, Arimondo E 2003 J. Opt. B: Quantum Semiclass. Opt 5 S38
[12] Salasnich L, Manini N, Toigo F 2008 Phys. Rev. A 77 043609
[13] Salasnich L, Toigo F 2008 Phys. Rev. A 78 053626
[14] Wen W, Huang G X 2009 Phys. Rev. A 79 023605
[15] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[16] Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401
[17] Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[18] Pieri P, Strinati G C 2003 Phys. Rev. Lett. 91 030401
[19] Huang G X, Makarov V A, Velarde M G 2003 Phys. Rev. A 67 023604
[20] Orel A A, Dyke P, Delehaye M, Vale C J, Hui H, 2011 New J. Phy. 13 113032
[21] Adhikari S K, Muruganandam P 2003 Phys. Lett. A 310 229
[22] Band Y B, Trippenbach M, Burke J P, Julienne P S 2000 Phys. Rev. Lett. 84 5462
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[1] Pitaevskii L P, Stringari S 2008 Rev. Mod. Phys. 80 1215
[2] Inouye, Andrews M R, Stenger J, Miesner H J, Stamperkurn, Ketterle W 1998 Nature 392 151
[3] Bloch I, Dalibard J, Zwerger W 2008 Rev. Mod. Phys. 80 885
[4] Morsch O, Oberthaler M 2006 Rev. Mod. Phys. 78 179
[5] Greiner M, Mandel O, Esslinger T, Hänsch, 2002 Nature 415 39
[6] Chin J K, Miller D E, Liu Y, Stan C, Setiawan W, Sanner C, Xu K, Ketterle W 2006 Nature 443 961
[7] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623
[8] Liu S J, Wen W, Huang G X 2012 Int. J. Mod. Phys. B 26 1250017
[9] Liu S J, Xiong H W, Xu Z J, Huang G X 2006 J. Phys. B: At. Mol. Opt. Phys. 36 2083
[10] Xu Z J, Cheng C, Yang H S, Wu q, Xiong H W 2004 Acta Phys. Sin. 53 2835 (in Chinese) [徐志君, 程成, 杨欢耸, 武强, 熊宏伟 2004 53 2835]
[11] Müller J H, Morsch O, Cristiani M, Ciampini D, Arimondo E 2003 J. Opt. B: Quantum Semiclass. Opt 5 S38
[12] Salasnich L, Manini N, Toigo F 2008 Phys. Rev. A 77 043609
[13] Salasnich L, Toigo F 2008 Phys. Rev. A 78 053626
[14] Wen W, Huang G X 2009 Phys. Rev. A 79 023605
[15] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[16] Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401
[17] Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[18] Pieri P, Strinati G C 2003 Phys. Rev. Lett. 91 030401
[19] Huang G X, Makarov V A, Velarde M G 2003 Phys. Rev. A 67 023604
[20] Orel A A, Dyke P, Delehaye M, Vale C J, Hui H, 2011 New J. Phy. 13 113032
[21] Adhikari S K, Muruganandam P 2003 Phys. Lett. A 310 229
[22] Band Y B, Trippenbach M, Burke J P, Julienne P S 2000 Phys. Rev. Lett. 84 5462
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