Ground state of the Hubbard model: a variational approach based on the maximum entropy principle

Abstract

A variational approach based on maximum entropy considerations is used to approximate the ground state of the Hubbard Hamiltonian. The evaluation of both the ground state energy and the correlation functions is performed with a trial wave function, which is parameterized in terms of a small set of variables associated with the relevant correlation operators of the problem. Results for the one-dimensional case are in very good agreement with the exact ones for arbitrary interaction strengths. It is also shown that the method provides us with better evaluations of the ground state energy and correlation functions than those obtained with the Gutzwiller approximation.