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

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

2006-09-04

arxiv.org/abs/cond-mat/0609063v3

New Journal of Physics 9 (2007) 163

Physics

Condensed Matter

Other Condensed Matter

Accepted for publication in New Journal of Physics

Scientific paper

10.1088/1367-2630/9/6/163

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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