DIRECT SIMULATIONS OF SMALL MULTI-FERMION SYSTEMS

Michael Creutz ()
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Michael Creutz: Physics Department, Brookhaven National Laboratory, Upton, NY 11973, USA

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 08, 1027-1040

Abstract: 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.

Keywords: Fermion simulations; Hubbard model (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005169

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