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Quantum Ergodicity and Mixing

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arxiv math-ph/0503026 v1 pith:L6XZ367Q submitted 2005-03-10 math-ph math.APmath.MP

Steve Zelditch This is my paper · ORCID
classification math-phmath.APmath.MP
keywords articleencyclopediaergodicityexpositorymathematicalmixingphysicsquantum
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Cited by 4 Pith papers

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

  1. Provable quantum thermalization without statistical averages

    quant-ph 2026-04 unverdicted novelty 7.0 of 10

    A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.

  2. Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces

    math.SP 2025-12 unverdicted novelty 7.0 of 10

    A large-scale analogue of Zelditch's quantum mixing theorem is established for compact hyperbolic surfaces using the wave equation and geodesic flow mixing, valid for arithmetic and Weil-Petersson random surfaces.

  3. Enhanced entanglement from quantum ergodicity

    quant-ph 2025-07 conditional novelty 6.0 of 10

    Ergodic quantum dynamics, via a non-demolition coupling, generates EPR states with lower purity and higher operator-transfer capacity than infinite-temperature scramblers, with a parametric advantage when initial stat...

  4. Classical and quantum chaos in bean- and peanut-shaped billiards

    nlin.CD 2025-01 unverdicted novelty 4.0 of 10

    Bean- and peanut-shaped billiards show strong correlations between classical chaos indicators and quantum statistical/dynamical measures, including eigenfunction scarring.

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