Direct simulations of small multi-fermion systems

Details Direct simulations of small multi-fermion systems Direct simulations of small multi-fermion systems

2002-12-19

arxiv.org/abs/hep-lat/0212034v1

Int.J.Mod.Phys. C14 (2003) 1027-1040

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 9 figures, revtex4

Scientific paper

10.1142/S0129183103005169

I explore computer simulations of the dynamics of small multi-fermion lattice systems. The method is more general, but I concentrate on Hubbard type models where the fermions hop between a small number of connected sites. I use the natural mapping of fermion occupation numbers onto computer bits. Signs from fermion interchange are reduced to bit counting. The technique inherently requires computer resources growing exponentially with the system volume; so, it restricted to modestly small systems. Large volume results would require combining these techniques with further approximations, perhaps in a recursive renormalization group manner.

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