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

Olivier Juillet
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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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Olivier Juillet. 2007-05-30. Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions. https://doi.org/10.1088/1367-2630%2F9%2F6%2F163

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