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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00090944
Contributor : Olivier Juillet <>
Submitted on : Wednesday, May 30, 2007 - 5:25:04 PM
Last modification on : Tuesday, February 19, 2019 - 10:04:10 AM
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O. Juillet. Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions.. New Journal of Physics, Institute of Physics: Open Access Journals, 2007, 9, pp.163. ⟨10.1088/1367-2630/9/6/163⟩. ⟨hal-00090944v3⟩

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