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Symmetry resolved entanglement in free fermionic systems

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arxiv 1907.02084 v1 pith:ZTU74PVX submitted 2019-07-03 cond-mat.stat-mech cond-mat.quant-gashep-thquant-ph

Riccarda Bonsignori , Paola Ruggiero , Pasquale Calabrese This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.quant-gashep-thquant-ph
keywords entanglementresolvedsymmetrybehaviourentropiesfieldfreegeneralised
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the symmetry resolved R\'enyi entropies in the one dimensional tight binding model, equivalent to the spin-1/2 XX chain in a magnetic field. We exploit the generalised Fisher-Hartwig conjecture to obtain the asymptotic behaviour of the entanglement entropies with a flux charge insertion at leading and subleading orders. The o(1) contributions are found to exhibit a rich structure of oscillatory behaviour. We then use these results to extract the symmetry resolved entanglement, determining exactly all the non-universal constants and logarithmic corrections to the scaling that are not accessible to the field theory approach. We also discuss how our results are generalised to a one-dimensional free fermi gas.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials

    cond-mat.stat-mech 2025-05 conditional novelty 6.0 of 10

    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. Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench

    hep-th 2025-02 conditional novelty 6.0 of 10

    For a mass quench in the Ising field theory, the Z2-resolved Rényi entropies grow linearly at the same rate as the total entropy, with subleading oscillatory corrections now computed analytically via composite twist fields.

  3. 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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