{
  "abstract": "We investigate the dynamical behavior and spread complexity of quantum states within the mass-deformed BMN matrix model equipped with an emergent $U(1)$ global charge at finite temperature $β^{-1}$ and chemical potential $ν$. Focusing on the strong-coupling regime ($μ\\gg 1$), we model the dynamics via a charged Thermofield Double (cTFD) state and trace the evolution of spread complexity across three distinct thermodynamic regimes. In the low-temperature gapped phase ($βμ\\gg 1$), discrete mass-gap bound states dominate, trapping wavepacket dispersion and producing non-chaotic, oscillatory early-time growth. Conversely, in the high-temperature continuum phase ($βμ\\ll 1$), thermal excitations overwhelm the mass gap, driving a transition to a continuous advection field that exhibits maximal chaotic scrambling with a Krylov Lyapunov exponent $λ_K = π/ β$ that saturates the universal bound. In the intermediate temperature regime ($βμ\\sim 1, βν\\sim 1$), the interplay between mass-gap bound states and the continuous thermal background induces a sub-leading correction to the Lanczos coefficients $b_n \\sim \\fracπβ n + γ\\sqrt{n}$, governing a continuous sub-exponential crossover before full chaotic thermalization. Technical derivations regarding KMS boundary conditions, grand canonical spectral moments, residue analysis, and time-reversal symmetry breaking in Krylov space are detailed in four dedicated appendices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29816",
  "author_total": 1,
  "authors": [
    {
      "name": "Dibakar Roychowdhury"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/08prf5mhrhhkc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29816",
  "fulltext_url": null,
  "id": "08prf5mhrhhkc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29816",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7204867267",
  "pdf_url": "https://arxiv.org/pdf/2608.29816",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/08prf5mhrhhkc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29816",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29816"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "BMN Spread Complexity Across Phase Transitions",
  "title_text": "BMN Spread Complexity Across Phase Transitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/08prf5mhrhhkc",
  "venue": "arXiv",
  "versions": []
}