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

• URL: http://arxiv.org/abs/2205.06428v3
• Date: Tue, 11 Oct 2022 02:35:01 GMT
• Title: Angular-time evolution for the Affleck-Kennedy-Lieb-Tasaki chain and its edge-state dynamics
• Abstract summary: 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. We analytically calculate angular-time spin correlation functions $langle S_nalpha(tau)S_nalpha(0)rangle$ with $alpha = x,y,z$, using the matrix-product-state (MPS) representation. We then discuss the physical interpretation of the angular-time evolution in the AKLT chain
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\langle S_n^\alpha(\tau)S_n^\alpha(0)\rangle$ 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.

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