The topological basis expression of four-qubit XXZ spin chain with twist boundary condition

Abstract

We investigate the XXZ model’s characteristic with the twisted boundary condition and the topological basis expression. Owing to twist boundary condition, the ground state energy will changing back and forth between $$E_{13}$$ and $$E_{15}$$ by modulate the parameter $$\phi $$ . By using TLA generators, the XXZ model’s Hamiltonian can be constructed. All the eigenstates can be expressed by topological basis, and the whole of eigenstates’ entanglement are maximally entangle states ( $$Q(|\phi _i\rangle )=1$$ ).