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

Abstract

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.

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

References in corpus (3)

• The sign problem in Monte Carlo simulations of frustrated quantum spin systems
• Wave functions for Hamiltonian Lattice Gauge Theory
• Green's Function Monte Carlo study of SU(3) lattice gauge theory in (3+1)D

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• Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
• Ground state of many-body lattice systems: an analytical probabilistic approach
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• A quantum computing approach to fixed-node Monte Carlo using classical shadows