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Recalibration-Aware Optimization of ZEFOZ Operating Points in 167Er3+:Y2SiO5 for Quantum Memories

  • Shashank Srivastava
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Abstract

Erbium-doped solids like 167Er3+:Y2SiO5 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 167Er3+ by incorporating a full-Hessian spin-Hamiltonian treatment with the anisotropic magnetic-field covariance derived from the native 89Y 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 (Tϕ,Y(2)) against microwave control authority. The ε14↔ε15 transition exhibits the longest modeled Y-bath-induced quadratic pure-dephasing time, Tϕ,Y(2)>2.2×105 s, while the ε12↔ε13 transition stood out, achieving a Rabi frequency coefficient of 1.248 × 105 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 84.1st-percentile field relocations ranged from $10.95$ to 27.97 mT. The intended operation near 10 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.

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Cite

BibTeXRIS
BibTeX
@misc{srivastava2026recalibrationaware,
  title = {{Recalibration-Aware Optimization of ZEFOZ Operating Points in $^167\mathrmEr^3+:\mathrmY_2\mathrmSiO_5$ for Quantum Memories}},
  author = {Shashank Srivastava},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08396},
  eprint = {2611.08396},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08396},
}
RIS
TY  - UNPB
TI  - Recalibration-Aware Optimization of ZEFOZ Operating Points in ^167Er^3+:Y_2SiO_5 for Quantum Memories
AU  - Shashank Srivastava
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08396
UR  - https://arxiv.org/abs/2611.08396
AB  - Erbium-doped solids like ^167Er^3+:Y_2SiO_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 ^167Er^3+ by incorporating a full-Hessian spin-Hamiltonian treatment with the anisotropic magnetic-field covariance derived from the native ^89Y 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↔ε_15 transition exhibits the longest modeled Y-bath-induced quadratic pure-dephasing time, T_ϕ,Y^(2)>2.2×10^5 s, while the ε_12↔ε_13 transition stood out, achieving a Rabi frequency coefficient of 1.248 × 10^5 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^st-percentile field relocations ranged from $10.95$ to 27.97 mT. The intended operation near 10 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.
ER  -