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Phases of scrambling in eigenstates

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arxiv 1903.03143 v3 pith:FH4XWCW2 submitted 2019-03-07 hep-th cond-mat.stat-mechcond-mat.str-el

classification hep-thcond-mat.stat-mechcond-mat.str-el
keywords thresholdeigenstatesfindheavyabovebehaviorbelowcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use the monodromy method to compute expectation values of an arbitrary number of light operators in finitely excited ("heavy") eigenstates of holographic 2D CFT. For eigenstates with scaling dimensions above the BTZ threshold, these behave thermally up to small corrections, with an effective temperature determined by the heavy state. Below the threshold we find oscillatory and not decaying behavior. As an application of these results we compute the expectation of the out-of-time order arrangement of four light operators in a heavy eigenstate, i.e. a six-point function. Above the threshold we find maximally scrambling behavior with Lyapunov exponent $2\pi T_{\rm eff}$. Below threshold we find that the eigenstate OTOC shows persistent harmonic oscillations.

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Cited by 2 Pith papers

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

  1. Signatures of Bulk Black Hole Merger from Semi-classical 2d CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    A semi-classical CFT calculation with the monodromy method finds a transition to an intermediate black hole phase for heavy scattering states before the external operators reach the BTZ mass threshold.

  2. Projections and teleportation of operator quenches in CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    In a 2D CFT, projecting an operator quench onto a Cardy state produces Renyi entropies with a surprising even/odd n dependence, indicating imperfect teleportation and obstructing the n to 1 von Neumann limit.

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