Angular-time evolution and edge-spin dynamics in the Haldane phase of the S=1 bilinear-biquadratic chain

• URL: http://arxiv.org/abs/2606.23117v1
• Date: Mon, 22 Jun 2026 10:01:19 GMT
• Title: Angular-time evolution and edge-spin dynamics in the Haldane phase of the S=1 bilinear-biquadratic chain
• Abstract summary: angular-time evolution is a parameter-time evolution generated by the entanglement Hamiltonian.<n>We calculate the angular-time spin correlation functions $langle S_n()S_n'(0)rangle$ in the Haldane phase.<n>We numerically verify the correspondence to the dominant angular-time mode by precisely comparing the subsystem-size dependence of their amplitudes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate 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 the open boundary condition with the up edge spin. Using a matrix-product-state representation of the ground-state wavefunction, we calculate the angular-time spin correlation functions $\langle S_n^{α}(τ)S_{n'}^{α}(0)\rangle$ in the Haldane phase, and extract its dominant oscillation mode attributed to the nearly two-fold-degenerate entanglement spectrum associated with the $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry. We also compute the effective edge-spin dynamics under a uniform magnetic field applied to the system part and numerically verify its correspondence to the dominant angular-time mode by precisely comparing the subsystem-size dependence of their amplitudes.

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