Entanglement spectra of q-deformed AKLT model and MPS

Details Entanglement spectra of q-deformed AKLT model and MPS Entanglement spectra of q-deformed AKLT model and MPS

2011-12-02

arxiv.org/abs/1112.0517v1

Physics

Quantum Physics

5 pages, 4 PDF figures

Scientific paper

We calculate exactly the reduced density matrix of matrix product states (MPS). This result enables one to perform analytical studies of entanglement in MPS by elementary algebraic operations on matrices of small rank. We consider the MPS ground states of two anisotropic spin chains. One is a q-deformed Affleck-Kennedy-Lieb-Tasaki (AKLT) model and the other is a general spin-1 quantum antiferromagnet with nearest-neighbor interactions. Our analysis shows how anisotropy affects entanglement on different continuous parameter manifolds.

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