Mott-Hubbard transition of bosons in optical lattices with two-body interactions

  • In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters.
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  • [1] Grynberg G, Lounis B, Verkerk P et al. Phys. Rev. Lett., 1993, 70(15): 22492 Jessen P S, Deutsch I H. Adv. At., Mol., Opt. Phys., 1996, 37: 953 Durfee D, Ketterle W. Optics Express, 1998, 2(8): 2994 Raithel G, Birkl G, Kastberg A et al. Phys. Rev. Lett., 1997, 78(4): 6305 Mjller-Seydlitz T, Hartl M, Brezger B et al. Phys. Rev. Lett., 1997, 78(6): 10386 Hamann S E, Haycock D L, Klose G et al. Phys. Rev. Lett., 1998, 80(19): 41497 Friebel S, D0Andrea C, Walz J et al. Phys. Rev. A, 1998, 57(1): 208 Raizen M, Salomon C, NIU Q. Phys. Today, 1997, 50(7): 309 Lewenstein M, Sanpera A, Ahufinger V et al. Adv. Phys., 2007, 56(2): 24310 Bloch I, Dalibard J, Zwerger W. Rev. Mod. Phys., 2008, 80(3): 88511 Greiner M, Mandel O, Esslinger T et al. Nature, 2002, 415: 3912 Stferle T, Moritz H, Schori C et al. Phys. Rev. Lett., 2004, 92(13): 13040313 Spielman I B, Phillips W D, Porto J V. Phys. Rev. Lett., 2007, 98(8): 08040414 Spielman I B, Phillips W D, Porto J V. Phys. Rev. Lett., 2008, 100(12): 12040215 Chin J K, Miller D E, LIU Y et al. Nature, 2006, 443: 96116 XUE J K, ZHANG A X. Phys. Rev. Lett., 2008, 101(18): 18040117 Jaksch D, Bruder C, Cirac J I et al. Phys. Rev. Lett., 1998, 81(15): 310818 Jaksch D, Venturi V, Cirac J I et al. Phys. Rev. Lett., 2002, 89(4): 04040219 KOU S P, LI R H. Int. J. Mod. Phys. B, 2007, 21: 24920 KOU S P, LI R H. Phys. Lett. A, 2007, 361: 41821 Kohler T. Phys. Rev. Lett., 2002, 89(21): 21040422 van Oosten D, van der Straten P, Stoof H T C. Phys. Rev. A, 2001, 63(5): 05360123 Dickerscheid D B M, van Oosten D, Denteneer P J H et al. Phys. Rev. A, 2003, 68(4): 04362324 Menotti C, Lewenstein M, Lahaye T et al. arXiv: 0711.342225 Pethick C J, Smith H. Bose-Einstein Condensation in Dilute Gases. Cambridge: Cambridge University Press, 2002. 102
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YAN Hua-Hua, MA Qing-Shan and ZHANG Jun. Mott-Hubbard transition of bosons in optical lattices with two-body interactions[J]. Chinese Physics C, 2011, 35(6): 530-534. doi: 10.1088/1674-1137/35/6/003
YAN Hua-Hua, MA Qing-Shan and ZHANG Jun. Mott-Hubbard transition of bosons in optical lattices with two-body interactions[J]. Chinese Physics C, 2011, 35(6): 530-534.  doi: 10.1088/1674-1137/35/6/003 shu
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Received: 2010-09-16
Revised: 2010-10-24
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Mott-Hubbard transition of bosons in optical lattices with two-body interactions

Abstract: In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters.

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