  Applying a symmetric bulk bipartition to one-dimensional
Affleck-Kennedy-Lieb-Tasaki valence bond solid (VBS) states for the integer
spin-S Haldane gapped phase, we can create an array of fractionalized spin-S/2
edge states with the super unit cell $l$ in the reduced bulk system, and the
topological properties encoded in the VBS wave functions can be revealed. The
entanglement Hamiltonian (EH) with $l=even$ corresponds to the quantum
antiferromagnetic Heisenberg spin-S/2 model. For the even integer spins, the EH
still describes the Haldane gapped phase. For the odd integer spins, however,
the EH just corresponds to the quantum antiferromagnetic Heisenberg half-odd
integer spin model with spinon excitations, characterizing the critical point
separating the topological Haldane phase from the trivial gapped phase. Our
results thus demonstrate that the topological bulk property not only determines
its fractionalized edge states, but also the quantum criticality associated
with the topological phase, where the elementary excitations are precisely
those fractionalized edge degrees of freedom confined in the bulk of the
topological phase.
