The many-body diffusion algorithm, harmonic fermions

Details The many-body diffusion algorithm, harmonic fermions The many-body diffusion algorithm, harmonic fermions

1997-11-05

arxiv.org/abs/cond-mat/9711032v1

Physics

Condensed Matter

Statistical Mechanics

9 pages (REVTEX), 8 figures Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.57.2411

A numerical implementation scheme is presented for the recently developed 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 conditions for the walkers at the boundary of a state space. These conditions are imposed by the permutation symmetry. The outflow of the walkers at the boundary of the state space contributes substantially to the energy. Furthermore, the implementation of crossing/recrossing effects at absorbing boundaries proves indispensable to sample the antisymmetric states by discrete time steps.

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