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Symmetry-resolved entanglement in a long-range free-fermion chain

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arxiv 2202.05874 v2 pith:IDYEDCOX submitted 2022-02-11 cond-mat.stat-mech hep-thquant-ph

Filiberto Ares , Sara Murciano , Pasquale Calabrese This is my paper · ORCID
classification cond-mat.stat-mechhep-thquant-ph
keywords entanglementlong-rangesymmetry-resolvedchainchargedentropymomentsorder
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We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings with power-like decaying amplitude -- a long-range generalisation of the Su-Schrieffer-Heeger model. This is a system that preserves the number of particles. The entropy of each symmetry sector is calculated via the charged moments of the reduced density matrix. We exploit some recent results on block Toeplitz determinants generated by a discontinuous symbol to obtain analytically the asymptotic behaviour of the charged moments and of the symmetry-resolved entropies for a large subsystem. At leading order we find entanglement equipartition, but comparing with the short-range counterpart its breaking occurs at a different order and it does depend on the hopping amplitudes.

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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. On symmetry-resolved generalized entropies

    quant-ph 2024-12 conditional novelty 7.0 of 10

    A new framework computes generalized charged moments and symmetry-resolved Rényi entropies for arbitrary excited states of the free compact boson CFT, benchmarked against the XX chain.

  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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