Entanglement asymmetry in the gapped XYZ spin-$\frac12$ chain

• URL: http://arxiv.org/abs/2607.25625v1
• Date: Tue, 28 Jul 2026 12:06:28 GMT
• Title: Entanglement asymmetry in the gapped XYZ spin-$\frac12$ chain
• Abstract summary: entanglement asymmetry measures how strongly a symmetry is broken inside a subsystem.<n>We compute the Rényi entanglement asymmetries of a large interval in the gapped, $U(1)$-breaking phase of the interacting XYZ chain.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The entanglement asymmetry measures how strongly a symmetry is broken inside a subsystem. Analytic results at equilibrium have so far covered free theories and, perturbatively, the critical XXZ chain. We compute the Rényi entanglement asymmetries of a large interval in the gapped, $U(1)$-breaking phase of the interacting XYZ chain. The calculation combines three ingredients. A charged-moment identity, which we prove for fermionic Gaussian and for injective matrix-product ground states, ties the asymmetry to the static susceptibility of the broken charge. A non-conservation sum rule then evaluates the susceptibility from sine-Gordon form factors, its two-kink and one-breather channels providing a lower bound on the universal amplitude. The Baxter--Johnson--Krinsky--McCoy solution supplies the kink mass for different couplings. Infinite-system density-matrix renormalization group simulations built on these masses reproduce the master formula.

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