{
  "abstract": "The critical phase of a non-Hermitian quasicrystal can support stronger transport than its surrounding delocalized phase. We demonstrate this anomalous behavior in the one-dimensional nonreciprocal Aubry-André-Harper model through a combined study of dynamical quantum phase transitions (DQPTs) and wavepacket diffusion. Using a parity-sorted energy-spectrum classification that directly encodes the generalized $\\mathcal{PT}$ symmetry, we find that DQPTs in this system are energy-resolved, in contrast to the energy-independent DQPTs of Hermitian quasicrystals. The energy-resolved features are most pronounced when the initial and final Hamiltonians belong to different phases (localized or extended), and they are tied to the even-odd index structure of the spectrum, which we exploit to organize the quench-dynamical landscape. For wavepacket dynamics after a single-site quench, the diffusion exponent $β$, extracted from the long-time power-law scaling of the root-mean-square displacement $σ(τ)$, partitions the phase diagram into four distinct regimes. In the Hermitian limit the extended phase is ballistic ($β=1$), the critical phase is normally diffusive ($β=0.5$), and the localized phase yields $β\\to 0$. Nonreciprocity reverses this hierarchy: the extended phase becomes normally diffusive, while the critical phase turns ballistic. We trace the anomalous $β=1$ at criticality to the self-similar multifractal structure of the critical eigenstates, whose nodal positions are organized by the golden ratio. A finite-size scaling ansatz built on the wave-front propagation yields $σ(τ)\\proptoτ$. The parity-resolved DQPTs and the $β$-phase diagram establish two complementary dynamical diagnostics of nonreciprocal quasicrystals, in which nonreciprocity promotes transport at the critical point and suppresses it in the delocalized phase.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10342",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhiyu Pei"
    },
    {
      "name": "Yongxu Fu"
    },
    {
      "name": "Gao Xianlong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/27f7me1m6zf44.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10342",
  "fulltext_url": null,
  "id": "27f7me1m6zf44",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10342",
  "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",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7212176182",
  "pdf_url": "https://arxiv.org/pdf/2609.10342",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/27f7me1m6zf44.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.10342",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10342"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quench dynamics in nonreciprocal Aubry-André-Harper model",
  "title_text": "Quench dynamics in nonreciprocal Aubry-André-Harper model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/27f7me1m6zf44",
  "venue": "arXiv",
  "versions": []
}