Entanglement, Symmetry and Integrability of Quantum Spin-Chains, Prof Ian Low, Northwestern University

Thursday 26 Mar 2026, 15:30 → 16:30 Asia/Taipei

Physics/124 (NTHU)

The entangling power of a unitary operator measures how much entanglement it generates when acting on random product states. I study the time-averaged entangling power for the time-evolution operator of spin-chain Hamiltonians and find that larger symmetry groups systematically suppress entanglement generation, with sharp dips at U(1), U(1)xU(1) as well as the SU(2) Heisenberg point, which persists and sharpens for longer chains. Integrability leaves its own distinct fingerprints at special points in parameter space. The results suggest that entangling power could serve as a new diagnostic tool for hidden symmetries in quantum many-body systems.