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Direct Simulations Of Small Multi-Fermion Systems

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  • MICHAEL CREUTZ

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

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.

Suggested Citation

  • Michael Creutz, 2003. "Direct Simulations Of Small Multi-Fermion Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(08), pages 1027-1040.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:08:n:s0129183103005169
    DOI: 10.1142/S0129183103005169
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    Keywords

    Fermion simulations; Hubbard model;

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