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Recent developments in the holographic description of quantum chaos

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arxiv 1811.06949 v3 pith:MCRGFXB7 submitted 2018-11-16 hep-th

classification hep-th
keywords chaosquantumdescriptiondevelopmentsrecentreviewcharacterizationconnections
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We review recent developments encompassing the description of quantum chaos in holography. We discuss the characterization of quantum chaos based on the late time vanishing of out-of-time-order correlators and explain how this is realized in the dual gravitational description. We also review the connections of chaos with the spreading of quantum entanglement and diffusion phenomena.

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Cited by 8 Pith papers

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

  1. Towards the Web of Quantum Chaos Diagnostics

    hep-th 2019-09 conditional novelty 6.0 of 10

    Haar-averaged higher-point out-of-time-order correlators equal multi-fold Loschmidt echoes, and complexity is conjectured to satisfy C^2 ~ -log LE.

  2. OTOC and Quamtum Chaos of Interacting Scalar Fields

    hep-th 2025-12 unverdicted novelty 5.0 of 10

    Discretized λφ⁴ theory yields thermal OTOC with exponential growth and Lyapunov exponent scaling as T^{1/4}, showing quantum chaos signatures at low perturbative orders in the oscillator chain.

  3. Traversable wormhole with double trace deformations via gravitational shear and sound channels

    hep-th 2025-11 unverdicted novelty 5.0 of 10

    Double trace deformations create traversable wormholes in AdS5 black branes via gravitational shear and sound channel perturbations that violate ANEC in the hydrodynamic limit.

  4. Higher-Order Krylov State Complexity in Random Matrix Quenches

    hep-th 2024-12 conditional novelty 5.0 of 10

    Higher-order generalized spread complexities show a more pronounced pre-equilibration peak than standard spread complexity in random matrix quenches, quantifying chaos more sharply up to third order.

  5. Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD

    hep-th 2024-11 conditional novelty 5.0 of 10

    In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.

  6. Chaos in hyperscaling violating Lifshitz theories

    hep-th 2024-11 conditional novelty 5.0 of 10

    For charged hyperscaling-violating Lifshitz theories, the butterfly velocity is derived via shockwave and entanglement wedge methods, rewritten in entropy and charge per central charge, and shown to be non-monotonic i...

  7. Charged Black Hole with String Cloud Deformation: Entanglement and Chaos

    hep-th 2025-07 conditional novelty 4.0 of 10

    In a charged AdS black hole with a string cloud, entanglement entropy and entanglement wedge cross-section increase with charge and backreaction, while mutual information and butterfly velocity decrease with charge.

  8. Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

    hep-th 2025-05 conditional novelty 4.0 of 10

    Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.

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