Bethe ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices (Articolo in rivista)

Type
Label
  • Bethe ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices (Articolo in rivista) (literal)
Anno
  • 2006-01-01T00:00:00+01:00 (literal)
Alternative label
  • Gao, XL; Polini, M; Tosi, MP; Campo, VL; Capelle, K; Rigol, M (2006)
    Bethe ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Gao, XL; Polini, M; Tosi, MP; Campo, VL; Capelle, K; Rigol, M (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 73 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • INFM, NEST, CNR, I-56126 Pisa, Italy; Scuola Normale Super Pisa, I-56126 Pisa, Italy; Univ Brasilia, Ctr Int Fis Mat Condensada, BR-70919970 Brasilia, DF, Brazil; Univ Sao Paulo, Inst Fis Sao Carlos, Dept Fis & Informat, BR-13560970 Sao Carlos, SP, Brazil; Univ Calif Davis, Dept Phys, Davis, CA 95616 USA; Univ Stuttgart, Inst Theoret Phys 3, D-70550 Stuttgart, Germany (literal)
Titolo
  • Bethe ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices (literal)
Abstract
  • We present an extensive numerical study of the ground-state properties of confined repulsively interacting fermions in one-dimensional optical lattices. Detailed predictions for the atom-density profiles are obtained from parallel Kohn-Sham density-functional calculations and quantum Monte Carlo simulations. The density-functional calculations employ a Bethe ansatz based local-density approximation for the correlation energy that accounts for Luttinger-liquid and Mott-insulator physics. Semianalytical and fully numerical formulations of this approximation are compared with each other and with a cruder Thomas-Fermi-type local-density approximation for the total energy. Precise quantum Monte Carlo simulations are used to assess the reliability of the various local-density approximations, and in conjunction with these provide a detailed microscopic picture of the consequences of the interplay between particle-particle interactions and confinement in one-dimensional systems of strongly correlated fermions. (literal)
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