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A real-space renormalization method with applications to frustration-free Hamiltonians

Rolando Somma, Los Alamos National Laboratory

(Session 1 : Thursday from 11:30 - 12:00)

Abstract. We present a numerical method based on real-space renormalization that outputs the exact ground space of Hamiltonians that satisfy a frustration-free property. The complexity of the method is polynomial in the degeneracy of the ground space. We apply the method to obtain the full ground space of spin-1/2 models on a square lattice much more efficiently than methods based on exact diagonalization.