An Improved Upper Bound for the Ground State Energy of Fermion Lattice Models

Details An Improved Upper Bound for the Ground State Energy of Fermion Lattice Models An Improved Upper Bound for the Ground State Energy of Fermion Lattice Models

2001-05-23

arxiv.org/abs/hep-lat/0105025v1

Phys.Rev. B64 (2001) 073107

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 5 figures; to appear in Physical Review B

Scientific paper

10.1103/PhysRevB.64.073107

We present an improved upper bound for the ground state energy of lattice fermion models with sign problem. The bound can be computed by numerical simulation of a recently proposed family of deformed Hamiltonians with no sign problem. For one dimensional models, we expect the bound to be particularly effective and practical extrapolation procedures are discussed. In particular, in a model of spinless interacting fermions and in the Hubbard model at various filling and Coulomb repulsion we show how such techniques can estimate ground state energies and correlation function with great accuracy.

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