Angular-time evolution for the Affleck-Kennedy-Lieb-Tasaki chain and its edge-state dynamics
| Autor: | Nakajima, Koutaro, Okunishi, Kouichi |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 106, 134304 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.106.134304 |
| Popis: | 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. Comment: 9 pages, 4 figures, 7 diagrams, typos fixed |
| Databáze: | arXiv |
| Externí odkaz: |
|