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

Abstract

We study the angular-time evolution that is a parameter-time evolution defined by the entanglement Hamiltonian for the bipartitioned ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) chain with the open boundary. In particular, we analytically calculate angular-time spin correlation functions $⟨S_n^{\alpha }(\tau )S_n^{\alpha }(0)⟩$ with $\alpha =x,y,z$, using the matrix-product-state (MPS) representation of the valence-bond-solid state with edges. We also investigate how the angular-time evolution operator can be represented in the physical spin space with the use of gauge transformation for the MPS. We then discuss the physical interpretation of the angular-time evolution in the AKLT chain.

9 pages, 4 figures, 7 diagrams, typos fixed

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Cited by in corpus (1)

• Generalization of the Affleck-Kennedy-Lieb-Tasaki Model for Quantum Ferromagnetism