Bulkedge correspondence in the Haldane phase of the bilinearbiquadratic spin1 Hamiltonian
Abstract
The Haldane phase is the prototype of symmetry protected topological (SPT) phases of spin chain systems. It can be protected by several symmetries having in common the degeneracy of the entanglement spectrum. Here we explore in depth this degeneracy for the spin1 AKLT and bilinearbiquadratic Hamiltonians and show the emergence of a bulkedge correspondence that relates the low energy properties of the entanglement Hamiltonian of a periodic chain and that of the physical Hamiltonian of an open chain. We find that the entanglement spectrum can be described in terms of two spins1/2 behaving as the effective spins at the end of the open chain. In the case of noncontiguous partitions, we find that the entanglement Hamiltonian is given by the spin1/2 Heisenberg Hamiltonian, which suggests a relationship between SPT phases and conformal field theory. We finally investigate the string order parameter and the relation with the bulkedge correspondence.
 Publication:

arXiv eprints
 Pub Date:
 November 2020
 arXiv:
 arXiv:2011.05452
 Bibcode:
 2020arXiv201105452S
 Keywords:

 Quantum Physics;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 16 pages, 10 figures, 3 tables