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Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach

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arxiv 1911.09588 v3 pith:RJ4V3TDG submitted 2019-11-21 cond-mat.stat-mech cond-mat.quant-gashep-thquant-ph

Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.quant-gashep-thquant-ph
keywords symmetryresolvedchainentanglemententropiesexactgappedharmonic
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We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ spin-chain. While the former is a free bosonic system, the latter is genuinely interacting. We focus on a subsystem being half of an infinitely long chain. In both models, we obtain exact expressions for the charged moments and for the symmetry resolved entropies. While for the spin chain we found exact equipartition of entanglement (i.e. all the symmetry resolved entropies are the same), this is not the case for the harmonic system where equipartition is effectively recovered only in some limits. Exploiting the gaussianity of the harmonic chain, we also develop an exact correlation matrix approach to the symmetry resolved entanglement that allows us to test numerically our analytic results.

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Cited by 2 Pith papers

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  1. Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials

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    For inhomogeneous free-boson chains, the leading entanglement entropy is (a*/6) log N, where a* is the scaling exponent of the region where the local potential vanishes.

  2. Symmetry resolved entanglement in Lifshitz field theories

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Symmetry-resolved entanglement in Lifshitz theories shows approximate equipartition among charge sectors for scalars at large z with configurational entropy dominant, while fermions show genuine equipartition only at ...

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