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Entanglement asymmetry in CFT with boundary symmetry breaking

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arxiv 2411.10244 v2 pith:L3SMLHJI submitted 2024-11-15 hep-th cond-mat.stat-mechquant-ph

Michele Fossati , Colin Rylands , Pasquale Calabrese This is my paper · ORCID
classification hep-thcond-mat.stat-mechquant-ph
keywords asymmetryboundarybehaviorasymptoticbulkconformalentanglementfield
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abstract

We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem $A$ originating from the symmetry-breaking boundary and extending into a semi-infinite bulk. By employing the twist field formalism, we derive a universal expression for the asymmetry, showing that the asymptotic behavior for large subsystems is approached algebraically, with an exponent which is twice the conformal dimension of a boundary condition-changing operator. As a secondary result, we also establish a similar asymptotic behavior for the string order parameter. Our exact analytical findings are validated through numerical simulations in the critical Ising and 3-state Potts models.

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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. 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).

  2. Symmetry-Induced Relaxation Comb and Strong Quantum Mpemba Effect in Long-Range XXZ Spin Chains

    quant-ph 2026-05 unverdicted novelty 7.0 of 10

    Symmetry mismatch between SU(2) Hamiltonian and U(1) Liouvillian in a long-range XXZ chain with dephasing selects fast eigenmodes, enabling size-independent fast relaxation and a strong quantum Mpemba effect.

  3. Quantum Mpemba Effect in Dissipative Spin Chains at Criticality

    quant-ph 2025-08 conditional novelty 6.0 of 10

    Under dephasing, a zero-temperature initial state relaxes faster than all finite-temperature states precisely at the quantum critical point of the XXZ and J1-J2 spin chains, a strong quantum Mpemba effect.

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