Abstract
An ultracold Fermi gas in an optical lattice with a parabolic potential is modeled by the quantum Monte Carlo method. The gas density profile is calculated in the Hubbard model; it is shown that a domain with a density of one atom per site is formed in the trap that corresponds to the Mott insulator state. The insulator phase is surrounded by a superfluid region occupying the center of the trap, as well as its periphery.
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J. K. Chin, D. E. Miller, Y. Liu, C. Stan, W. Setiawan, C. Sanner, K. Xu, and W. Ketterle, Nature (London) 443, 961 (2006).
T. Stoferle, H. Moritz, K. Gunter, M. Kohl, and T. Esslinger, Phys. Rev. Lett. 96, 030401 (2006).
E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, Phys. Rev. A: At., Mol., Opt. Phys. 47, 4114 (1993).
Y. Ohashi and A. Griffin, Phys. Rev. Lett. 89, 1300402 (2002).
E. Burovski, E. Kozik, N. Prokof’ev, B. Svistunov, and M. Troyer, Phys. Rev. Lett. 101, 090402 (2008).
S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 80, 1215 (2008); C. C. Chien, Q. Chen, and K. Levin, Phys. Rev. A: At., Mol., Opt. Phys. 78, 043612 (2008).
Yu. Kagan and L. A. Maksimov, Pis’ma Zh. Éksp. Teor. Fiz. 82(2), 70 (2005) [JETP Lett. 82 (2), 65 (2005)].
H. Zhai and T.-L. Ho, Phys. Rev. Lett. 99, 100402 (2007).
N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsun, arXiv:cond-mat/9703200; N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, Pis’ma Zh. Éksp. Teor. Fiz. 64 (12), 853 (1996) [JETP Lett. 64 (12), 911 (1996)]; N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsyn, Zh. Éksp. Teor. Fiz. 114 (2), 570 (1998) [JETP 87 (2), 310 (1998)]; N. V. Prokof’ev, B. V. Svistunov, and I. S. Tupitsun, Phys. Lett. A 238, 253 (1998); V. A. Kashurnikov, A. V. Krasavin, and B. V. Svistunov, Phys. Rev. B: Condens. Matter 58, 1826 (1998); V. A. Kashurnikov, N. V. Prokof’ev, B. V. Svistunov, and M. Troyer, Phys. Rev. B: Condens. Matter 59, 1162 (1999).
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998); D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A: At., Mol., Opt. Phys. 63, 053601 (2001).
V. A. Kashurnikov, N. V. Prokof’ev, and B. V. Svistunov, Phys. Rev. A: At., Mol., Opt. Phys. 66, 031601 (2002).
T. Muller, S. Folling, A. Widera, and I. Bloch, Phys. Rev. Lett. 99, 200405 (2007).
S. Folling, A. Widera, T. Muller, F. Gerbier, and I. Bloch, Phys. Rev. Lett. 97, 060403 (2006).
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Original Russian Text © V.A. Kashurnikov, A.V. Krasavin, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 138, No. 2, pp. 206–209.
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Kashurnikov, V.A., Krasavin, A.V. Superfluidity-insulator phase transition in ensemble of Fermi atoms in optical lattice. J. Exp. Theor. Phys. 111, 180–183 (2010). https://doi.org/10.1134/S1063776110080029
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DOI: https://doi.org/10.1134/S1063776110080029