Bethe ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices

Gao Xianlong, Marco Polini, M. P. Tosi, Vivaldo L. Campo, Klaus Capelle, Marcos Antonio Rigol

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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.

Original languageEnglish (US)
Article number165120
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number16
DOIs
StatePublished - May 11 2006

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All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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