F. Luczak et al., MANY-BODY DIFFUSION ALGORITHM - HARMONIC FERMIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 2411-2418
A numerical implementation scheme is presented for the recently develo
ped many-body diffusion approach for identical particles, in the case
of harmonic potentials. The procedure is free of the sign problem, by
the introduction of the appropriate absorption or reflection condition
s for the walkers at the boundary of a state space. These conditions a
re imposed by the permutation symmetry. The outflow of the walkers at
the boundary of the state space contributes substantially to the energ
y. Furthermore, the implementation of crossing-recrossing effects at a
bsorbing boundaries proves indispensable to sample the antisymmetric s
tates by discrete time steps.