An Exact Monte Carlo Method for Continuum Fermion Systems

Details An Exact Monte Carlo Method for Continuum Fermion Systems An Exact Monte Carlo Method for Continuum Fermion Systems

2000-01-13

arxiv.org/abs/cond-mat/0001193v1

Physics

Condensed Matter

latex source, 3 separated figures (2 in jpg format, 1 in eps format)

Scientific paper

10.1103/PhysRevLett.85.3547

We offer a new proposal for the Monte Carlo treatment of many-fermion systems in continuous space. It is based upon Diffusion Monte Carlo with significant modifications: correlated pairs of random walkers that carry opposite signs; different functions ``guide'' walkers of different signs; the Gaussians used for members of a pair are correlated; walkers can cancel so as to conserve their expected future contributions. We report results for free-fermion systems and a fermion fluid with 14 $^3$He atoms, where it proves stable and correct. Its computational complexity grows with particle number, but slowly enough to make interesting physics within reach of contemporary computers.

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