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Non-equilibrium dynamics of symmetry-resolved entanglement and entanglement asymmetry: Exact asymptotics in Rule 54

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arxiv 2407.21793 v2 pith:NLDKYELI submitted 2024-07-31 cond-mat.stat-mech nlin.CGnlin.SIquant-ph

Katja Klobas This is my paper · ORCID
classification cond-mat.stat-mechnlin.CGnlin.SIquant-ph
keywords entanglementmomentsasymmetrychargeddynamicsnon-equilibriumregimerule
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Symmetry resolved entanglement and entanglement asymmetry are two measures of quantum correlations sensitive to symmetries of the system. Here we discuss their non-equilibrium dynamics in the Rule 54 cellular automaton, a simple, yet interacting, integrable model. Both quantities can be expressed in terms of the more analytically tractable "charged moments", i.e. traces of powers of a suitably deformed density matrix, via a replica trick. We express them in terms of a tensor network, which we contract in space using a system of local algebraic relations. This gives the asymptotic form for the charged moments, valid in the regime of large but finite time that is shorter than all the relevant subsystem sizes. In this regime the charge moments decay exponentially with the rate given by the leading solution to a cubic equation.

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Cited by 4 Pith papers

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

  1. Entanglement asymmetry in periodically driven quantum systems

    quant-ph 2024-12 conditional novelty 7.0 of 10

    At special drive frequencies, periodically driven spin chains show symmetry restoration and the quantum Mpemba effect; driven CFTs on a strip show entanglement asymmetry growing as ln(mT) in the heating phase and as l...

  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. Entanglement asymmetry in CFT with boundary symmetry breaking

    hep-th 2024-11 conditional novelty 6.0 of 10

    For a (1+1)-dimensional CFT with a symmetry-breaking boundary, the entanglement asymmetry of an interval anchored at the boundary tends to log|G| with an algebraic correction whose exponent is twice the smallest bound...

  4. Entanglement asymmetry and symmetry defects in boundary conformal field theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    For 2D CFTs with boundary-only symmetry breaking, the entanglement asymmetry is log|G| with power-law corrections for finite groups, (dim G/2) log log(ℓ/ε) for compact Lie groups, and it drops from log|G| to 0 at t=ℓ/...

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