Variational Monte Carlo analysis of the Hubbard model with a confining potential: one-dimensional fermionic optical lattice systems

Abstract

We investigate the one-dimensional Hubbard model with a confining potential, which may describe cold fermionic atoms trapped in an optical lattice. Combining the variational Monte Carlo simulations with the new stochastic reconfiguration scheme proposed by Sorella, we present an efficient method to systematically treat the ground state properties of the confined system with a site-dependent potential. By taking into account intersite correlations as well as site-dependent on-site correlations, we are able to describe the coexistence of the metallic and Mott insulating regions, which is consistent with other numerical results. Several possible improvements of the trial states are also addressed.

7 pages, 15 figures; removed unnecessary graphs (p.8-p.32 in the old version are removed)

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• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Molecules of Fermionic Atoms in an Optical Lattice
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Cited by in corpus (5)

• Supersolid state of ultracold fermions in an optical lattice
• Supersolid state in fermionic optical lattice systems
• Spatially-modulated Superfluid States in Fermionic Optical Ladder Systems with Repulsive Interactions
• Ground-state properties of fermionic mixtures with mass imbalance in optical lattices
• Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases