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Article Dans Une Revue New Journal of Physics Année : 2007

Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions.

O. Juillet
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Résumé

We propose a new projector quantum Monte-Carlo method to investigate the ground state of ultracold fermionic atoms modeled by a lattice Hamiltonian with on-site interaction. The many-body state is reconstructed from Slater determinants that randomly evolve in imaginary-time according to a stochastic mean-field motion. The dynamics prohibits the crossing of the exact nodal surface and no sign problem occurs in the Monte-Carlo estimate of observables. The method is applied to calculate ground-state energies and correlation functions of the repulsive two-dimensional Hubbard model. Numerical results for the unitary Fermi gas validate simulations with nodal constraints.
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Dates et versions

hal-00090944 , version 1 (04-09-2006)
hal-00090944 , version 2 (15-11-2006)
hal-00090944 , version 3 (30-05-2007)

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O. Juillet. Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions.. New Journal of Physics, 2007, 9, pp.163. ⟨10.1088/1367-2630/9/6/163⟩. ⟨hal-00090944v3⟩
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