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Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain

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arxiv 2307.06902 v2 pith:MBOPIGOL submitted 2023-07-13 cond-mat.stat-mech hep-thquant-ph

Florent Ferro , Filiberto Ares , Pasquale Calabrese This is my paper · ORCID
classification cond-mat.stat-mechhep-thquant-ph
keywords entanglementspinsymmetryasymmetrychaingroupsmathbbnon-equilibrium
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abstract

The entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic $\mathbb{Z}_N$ groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks the $\mathbb{Z}_2$ spin parity symmetry in the ferromagnetic phase. We thoroughly investigate the non-equilibrium dynamics of this symmetry after a global quantum quench, generalising known results for the standard order parameter.

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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 the gapped XYZ spin-$\frac12$ chain

    cond-mat.stat-mech 2026-07 conditional novelty 8.0 of 10

    In the gapped XYZ chain, the Rényi entanglement asymmetry of a large interval is ½ log(πℓχzz) + log n/(2(n−1)), with χzz/M computed from sine-Gordon form factors.

  2. Boundary quenches in (1+1)-dimensional conformal field theory

    cond-mat.stat-mech 2026-07 accept novelty 7.0 of 10

    A boundary quench in a (1+1)-d CFT makes one-point functions switch from old to new ground state across a light cone and makes adjacent-region entanglement jump by log(g_b/g_a).

  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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