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PreprintCC BY 4.0arXiv

Exact Breit-Rabi formulae for the nitrogen-vacancy center in diamond

  • Alex Tritt
  • Lincoln D. Turner
  • Michael S. J. Barson
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Abstract

The hyperfine structure that the nitrogen-vacancy (NV) center in diamond has with its nitrogen nucleus is of immense importance for quantum sensing and quantum computing. Current methods of calculating the NV hyperfine energy eigenvalues and eigenstates with respect to an axial magnetic field - i.e., calculating the NV Breit-Rabi formula - resort to numerical methods and analytic approximations. Here we provide an exact, closed-form expression to the NV hyperfine energy eigenvalues and eigenstates for both the nitrogen-14 and -15 cases.

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Cite

BibTeXRIS
BibTeX
@misc{tritt2026exact,
  title = {{Exact Breit-Rabi formulae for the nitrogen-vacancy center in diamond}},
  author = {Alex Tritt and Lincoln D. Turner and Michael S. J. Barson},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14964},
  eprint = {2609.14964},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14964},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exact Breit-Rabi formulae for the nitrogen-vacancy center in diamond
AU  - Alex Tritt
AU  - Lincoln D. Turner
AU  - Michael S. J. Barson
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.14964
UR  - https://arxiv.org/abs/2609.14964
AB  - The hyperfine structure that the nitrogen-vacancy (NV) center in diamond has with its nitrogen nucleus is of immense importance for quantum sensing and quantum computing. Current methods of calculating the NV hyperfine energy eigenvalues and eigenstates with respect to an axial magnetic field - i.e., calculating the NV Breit-Rabi formula - resort to numerical methods and analytic approximations. Here we provide an exact, closed-form expression to the NV hyperfine energy eigenvalues and eigenstates for both the nitrogen-14 and -15 cases.
ER  -