Classification of matrix product ground states corresponding to one dimensional chains of two state sites of nearest neighbor interactions

Abstract

A complete classification is given for one dimensional chains with nearest neighbor interactions having two states in each site, for which a matrix product ground state exists. The Hamiltonians and their corresponding matrix product ground states are explicitly obtained.

17 pages, LaTeX2e

References in corpus (3)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Matrix product states represent ground states faithfully
• Exact dimer ground states for a continuous family of quantum spin chains