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The ground state solutions of superfluid Fermi gas in optical lattices are studied by means of the balance condition between the lattices potential and inter-atomic interaction energy. We derive the atoms density distribution, the atoms number and the energy of the ground state along the entire BEC-BCS crossover. It is shown that, the properties of the ground state present very different characters as the system transits from the BEC side to the BCS side.
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Keywords:
- Superfluid Fermi Gas /
- Optical lattice /
- Ground state
[1] Greiner M, Regal C A, Jin D S 2003 Nature 426 537
[2] Regal C A, Greiner M, Jin D S 2004 Phys. Rev. Lett. 92 040403
[3] Zhao X D, Xie Z W, Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese) [赵兴东、 谢征微、 张卫平 2007 56 6358]
[4] 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]
[5] Zhou L, Kong L B, Zhan M S 2008 Chin. Phys. B 17 1601
[6] 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]
[7] Chin J K, Miller D E, Liu Y, Stan C, Setiawan W, Sanner C, Xu K, Ketterle W 2006 Nature 443 961
[8] Rodriguez M, Tòrma P 2004 Phys. Rev. A 69 041602 (R)
[9] Zhai H, Ho T L 2007 Phys. Rev. Lett. 99 10042
[10] Moon E G, Nikoli Ac' P, Sachdev S 2007 Phys. Rev. Lett. 99 230403
[11] Pitaevskii L P, Stringari S, Orso G 2005 Phys. Rev. A 71 053602
[12] Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[13] Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[14] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623 Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[15] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[16] Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401 Zhang A X, Xue J K 2009 Phys. Rev. A 80 043617
[17] Hai W, Lee C, Fang X, Gao K 2004 Physica A 335 445 Hai W, Li Y, Xia B, Luo X 2005 Euro. Phys. Lett. 71 28
[18] Chen H J, Xue J K 2008 Acta Phys. Sin. 57 3962 (in Chinese) 〖陈海军、薛具奎 2008 57 3962 Hai W, Lu G, Zhong H 2009 Phys. Rev. A 79 053610
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[1] Greiner M, Regal C A, Jin D S 2003 Nature 426 537
[2] Regal C A, Greiner M, Jin D S 2004 Phys. Rev. Lett. 92 040403
[3] Zhao X D, Xie Z W, Zhang W P 2007 Acta Phys. Sin. 56 6358 (in Chinese) [赵兴东、 谢征微、 张卫平 2007 56 6358]
[4] 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]
[5] Zhou L, Kong L B, Zhan M S 2008 Chin. Phys. B 17 1601
[6] 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]
[7] Chin J K, Miller D E, Liu Y, Stan C, Setiawan W, Sanner C, Xu K, Ketterle W 2006 Nature 443 961
[8] Rodriguez M, Tòrma P 2004 Phys. Rev. A 69 041602 (R)
[9] Zhai H, Ho T L 2007 Phys. Rev. Lett. 99 10042
[10] Moon E G, Nikoli Ac' P, Sachdev S 2007 Phys. Rev. Lett. 99 230403
[11] Pitaevskii L P, Stringari S, Orso G 2005 Phys. Rev. A 71 053602
[12] Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[13] Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[14] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623 Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[15] Dong H, Ma Y L 2009 Chin. Phys. B 18 715
[16] Xue J K, Zhang A X 2008 Phys. Rev. Lett. 101 180401 Zhang A X, Xue J K 2009 Phys. Rev. A 80 043617
[17] Hai W, Lee C, Fang X, Gao K 2004 Physica A 335 445 Hai W, Li Y, Xia B, Luo X 2005 Euro. Phys. Lett. 71 28
[18] Chen H J, Xue J K 2008 Acta Phys. Sin. 57 3962 (in Chinese) 〖陈海军、薛具奎 2008 57 3962 Hai W, Lu G, Zhong H 2009 Phys. Rev. A 79 053610
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