Entanglement spectra of the q-deformed Affleck-Kennedy-Lieb-Tasaki model and matrix product states

摘要: We exactly calculate the reduced density matrix of product states (MPS). Our compact result enables one to perform analytic studies entanglement in MPS. In particular, we consider MPS ground two anisotropic spin chains. One is a q-deformed Affleck-Kennedy-Lieb-Tasaki (AKLT) model and other general spin-1 quantum antiferromagnet with nearest-neighbor interactions. analysis shows how anisotropy affects on different continuous parameter manifolds. also construct an effective boundary that describes block spins state AKLT Hamiltonian. The temperature this given terms deformation q.