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Time evolution of entanglement entropy from a pulse

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arxiv 1204.1982 v1 pith:FTRWXNJN submitted 2012-04-09 hep-th

Time evolution of entanglement entropy from a pulse

Matthew M. Roberts This is my paper
classification hep-th
keywords entropyentanglementagreesdiffeomorphismevolutionpatchpoincarresult
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the transformation properties of R\'enyi entropy. We are able to reproduce behavior which qualitatively agrees with CFT results of entanglement entropy of a system subjected to a local quench. In doing so we construct a finite diffeomorphism which tales three-dimensional anti-de Sitter space in the Poincar\'e patch to a general solution, generalizing the diffeomorphism that takes the Poincar\'e patch a BTZ black hole. We briefly discuss the calculation of correlation functions in these backgrounds and give results at large operator dimension.

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Cited by 4 Pith papers

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

  1. Temporal Entanglement from Twist Correlators in 2d Conformal Field Theory and Holography

    hep-th 2026-07 conditional novelty 7.0

    Timelike entanglement entropy in 2d CFT is defined by time-ordered twist correlators, whose holographic saddles are complex geodesics with smallest real length, and whose imaginary part counts causal-diamond crossings...

  2. Dynamical Entanglement Phase Transitions in Holographic CFTs

    hep-th 2026-05 unverdicted novelty 7.0

    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.

  3. Large Quantum Gravity Fluctuations of BTZ Black Holes

    hep-th 2026-06 unverdicted novelty 6.0

    Quantum width of BTZ horizon computed via holography is (G_N L_AdS^3)^{1/4}, parametrically larger than Planck scale and logarithmically divergent in the UV.

  4. Modular quantization and black holes

    hep-th 2026-06 unverdicted novelty 5.0

    Modular quantization of a single holographic CFT reproduces exact Hartle-Hawking correlators of smooth BTZ black holes in the semiclassical limit while yielding non-smooth stretched-horizon descriptions at finite GN.