24–28 Aug 2026
Hiyoshi Campus, Keio University, Yokohama, Japan
Asia/Tokyo timezone

Angular-time evolution and its correspondence to edge-spin dynamics in the Haldane chain

25 Aug 2026, 15:00
20m
Fujiwara Hiroshi Hall, Kyoseikan (Hiyoshi Campus, Keio University, Yokohama, Japan)

Fujiwara Hiroshi Hall, Kyoseikan

Hiyoshi Campus, Keio University, Yokohama, Japan

4-1-1 Hiyoshi, Kohoku-Ku,Yokohama, Kanagawa 223-8526, JAPAN

Speaker

Prof. Kouichi Okunishi (Department of Physics, Graduate School of Science, Osaka Metropolitan University)

Description

We discuss the angular-time evolution ---a parameter-time evolution generated by the entanglement Hamiltonian--- for the bipartitioned ground state of the S=1 bilinear–biquadratic chain under open boundary conditions. For the exactly sobvable AKLT chain, we first demonstrate the relationship between the angular-time evolution and edge-spin dynamics in a uniform magnetic field applied to the system part, using a gauge transformation of the matrix-product state. We then calculate angular-time spin correlation functions for the S=1 Heisenberg chain and extract the dominant oscillation mode originating from twofold-degenerate entanglement spectrum protected by the Z2×Z2 symmetry. Finally, we verify the correspondence between the edge-spin dynamics in a uniform magnetic field and this dominant angular-time mode, which may provide a new route to access the SPT entanglement of the Haldane phase through the observable edge-spin dynamics.

Author

Prof. Kouichi Okunishi (Department of Physics, Graduate School of Science, Osaka Metropolitan University)

Co-author

Mr Takuma Kaise (Niigata University)

Presentation materials

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