{
  "abstract": "Dynamical localization requires all position moments of a quantum wavepacket to remain bounded in time, but for quasiperiodic Schrödinger operators such bounds are generally not uniform in phase. In the positive Lyapunov exponent regime, the best known phase-uniform estimates instead grow on a logarithmic scale. We prove that both the logarithmic scale and the dependence on the moment order are sharp for a class of one-frequency quasiperiodic Schrödinger operators with even potentials. Our main ingredient is a reflective version of semi-uniformly localized eigenfunctions, adapted to the two localization centers forced by a completely resonant phase, from which we obtain matching logarithmic lower bounds along sequences of times.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29339",
  "author_total": 2,
  "authors": [
    {
      "name": "Wencai Liu"
    },
    {
      "name": "Xueyin Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7xwaa7s7ak0zj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29339",
  "fulltext_url": null,
  "id": "7xwaa7s7ak0zj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29339",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
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      "arxiv",
      "math.DS"
    ],
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      "arxiv",
      "math.MP"
    ],
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      "arxiv",
      "math.SP"
    ],
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      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7204898063",
  "pdf_url": "https://arxiv.org/pdf/2608.29339",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7xwaa7s7ak0zj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29339",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29339"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Sharp Logarithmic Quantum Dynamics for Quasiperiodic Schrödinger Operators",
  "title_text": "Sharp Logarithmic Quantum Dynamics for Quasiperiodic Schrödinger Operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/7xwaa7s7ak0zj",
  "venue": "arXiv",
  "versions": []
}