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Entanglement and correlation functions following a local quench: a conformal field theory approach

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arxiv 0708.3750 v2 pith:WXTU3ZQ5 submitted 2007-08-28 cond-mat.stat-mech cond-mat.str-elhep-thquant-ph

Pasquale Calabrese , John Cardy This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elhep-thquant-ph
keywords theoryconformalcorrelationentanglementfieldfunctionslocalquantum
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We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational invariant Hamiltonian (a local quench), can be described by means of quantum field theory. In the case when the corresponding theory is conformal, we study the evolution of the entanglement entropy for different bi-partitions of the line. We also consider the behavior of one- and two-point correlation functions. All our findings may be explained in terms of a picture, that we believe to be valid more generally, whereby quasiparticles emitted from the joining point at the initial time propagate semiclassically through the system.

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Cited by 13 Pith papers

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

  1. The Page curve of Hawking radiation from semiclassical geometry

    hep-th 2019-08 accept novelty 8.0 of 10

    Hawking radiation entropy follows the Page curve when quantum extremal surfaces are identified with RT/HRT surfaces in a higher-dimensional holographic dual, making the black hole interior part of the radiation's enta...

  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. Dynamical Entanglement Phase Transitions in Holographic CFTs

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.

  4. The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

    hep-th 2019-05 conditional novelty 7.0 of 10

    In a 2d evaporating black hole model, large boosts create O(1/G_N) gradients in bulk entropy that move the quantum extremal surface, causing the generalized entropy to follow unitary expectations with information disa...

  5. Expectation values after an integrable boundary quantum quench

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    A form factor framework is introduced to compute expectation values and time evolution after an integrable boundary quantum quench, applied to the Lee-Yang model at conformal and massive points with TCSA validation.

  6. Entanglement measures for causally connected subregions and holography

    hep-th 2025-08 conditional novelty 6.0 of 10

    Timelike separated subregions admit a transition-operator entropy, a complexified RT surface, and a timelike entanglement wedge cross section that equals half the analytically continued reflected entropy in AdS3/CFT2.

  7. From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States

    hep-th 2025-07 conditional novelty 6.0 of 10

    In holographic confining backgrounds, temporal peak statistics of boundary correlators after local quenches approach the Gaussian Symplectic Ensemble for heavy operators and, in capped BTZ, even for massless ones.

  8. Random matrix theory signatures in free field theory

    hep-th 2025-07 unverdicted novelty 6.0 of 10

    In finite-volume massive free scalar field theory after local quench, spacing ratios of two-point function extrema follow GOE statistics and an extrema-based form factor shows RMT dip-ramp-plateau.

  9. 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.

  10. Higher-dimensional chaotic features and random matrix signatures following a local quench

    hep-th 2026-07 conditional novelty 5.0 of 10

    Extrema of local-quench two-point functions in free 1+1 and 2+1 scalar theory show soft-to-GOE nearest-neighbor repulsion and geometry-dominated all-pair form factors.

  11. Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Introduces tube-sector probabilities from the center of boundary tube algebras to give optimal one-shot distinguishability of quantum states under generalized symmetries.

  12. Multi-entropy in heavy local quenches

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Genuine multi-entropy in heavy local quenches in 2D holographic CFTs is kinematically fixed to logarithms of rational functions of time, independent of heavy operator dimension, due to global saddle selection in the g...

  13. The entropy of radiation for local quenches in higher dimensions

    hep-th 2025-01 conditional novelty 5.0 of 10

    For local quenches in d>2 CFTs, the excess entanglement entropy of radiation grows as ξ^{d/2} at early and late times, obeys an all-time relative-entropy bound, and the holographic model produces a Page-like curve.

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