{
  "abstract": "Erbium-doped solids like $^{167}\\mathrm{Er}^{3+}:\\mathrm{Y}_2\\mathrm{SiO}_5$ have properties that make them suitable for quantum-network memories, however, their unquenched effective electronic spin causes rapid magnetic decoherence. Operating at Zero First-Order Zeeman (ZEFOZ) points allows us to mitigate this, where we evaluate the ZEFOZ landscape for Site-2 $^{167}\\mathrm{Er}^{3+}$ by incorporating a full-Hessian spin-Hamiltonian treatment with the anisotropic magnetic-field covariance derived from the native $^{89}\\mathrm{Y}$ crystal lattice directly. Operating-point screening criteria were adopted to devise a Pareto-optimal frontier of four transition pairs to balance modeled Y-only magnetic pure-dephasing lifetimes ($T_{ϕ,Y}^{(2)}$) against microwave control authority. The $ε_{14}\\leftrightarrowε_{15}$ transition exhibits the longest modeled Y-bath-induced quadratic pure-dephasing time, $T_{ϕ,Y}^{(2)}>2.2\\times10^5~\\mathrm{s}$, while the $ε_{12}\\leftrightarrowε_{13}$ transition stood out, achieving a Rabi frequency coefficient of $1.248 \\times 10^5~\\mathrm{Hz/mT}$. An assumption-based Hamiltonian-uncertainty analysis demonstrates that while uncompensated deviations shift the ZEFOZ condition away from its nominal magnetic-field coordinate, the shifted operating points can be recovered via numerical vector-field recalibration. The Pareto-optimal coordinates were mathematically recovered for all sampled Hamiltonian perturbations, and the $84.1^{\\mathrm{st}}$-percentile field relocations ranged from $10.95$ to $27.97~\\mathrm{mT}$. The intended operation near $10~\\mathrm{mK}$ must be taken into account for the suppression of Er-induced spectral diffusion through electronic-spin polarization, while the extended Y-bath pure-dephasing timescales also remain conditional on the adopted temporal-correlation model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08396",
  "author_total": 1,
  "authors": [
    {
      "name": "Shashank Srivastava"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/20yqc4jp89svx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08396",
  "fulltext_url": null,
  "id": "20yqc4jp89svx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08396",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08396",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/20yqc4jp89svx.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.08396",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08396"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Recalibration-Aware Optimization of ZEFOZ Operating Points in $^{167}\\mathrm{Er}^{3+}:\\mathrm{Y}_2\\mathrm{SiO}_5$ for Quantum Memories",
  "title_text": "Recalibration-Aware Optimization of ZEFOZ Operating Points in ^167Er^3+:Y_2SiO_5 for Quantum Memories",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:41Z",
  "url": "https://research.draconitic.com/paper/20yqc4jp89svx",
  "venue": "arXiv",
  "versions": []
}