THE TOPOLOGICAL BASIS REALIZATION OF FOUR-QUBIT XXZ SPIN CHAIN

Abstract

In this paper, a set of topological basis realization is presented. By acting on the different subspaces, we obtain the new nontrivial six-dimensional (6D) and four-dimensional Temperley–Lieb matrix representations. Then it is shown that XXZ model can be constructed from the Temperley–Lieb algebra (TLA) generators. The eigenstates of XXZ model can be denoted by combinating the set of topological bases. It is interesting that the ground state is closely related to parameter Δ.