Topological disentangler for the valence-bond-solid chain

Abstract

We discuss topological disentangler for S=1 quantum spin chains in the Haldane phase. We first point out that Kennedy-Tasaki's(KT) nonlocal unitary transformation is the perfect disentangler for Affleck-Kennedy-Lieb-Tasaki model. We then demonstrate that the KT transformation can be reconstructed as an assembly of pair disentanglers. Finally, we show that the KT transformation can be regarded as a topological disentangler, which selectively disentangles the double-fold degeneracy in the entanglement spectrum of the S=1 Heisenberg chain.

4 pages, 3 figures

References in corpus (2)

• Class of exactly solvable SO(n) symmetric spin chains with matrix product ground states
• Topological Classification of Gapped Spin Chains :Quantized Berry Phase as a Local Order Parameter

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• Angular-time evolution for the Affleck-Kennedy-Lieb-Tasaki chain and its edge-state dynamics