Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.14964

Authors: Tritt, Alex, Turner, Lincoln D., Barson, Michael S. J.

Institution: Monash University

Language: English

Topic: Diamond and Carbon-based Materials Research

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

Funders: Australian Research Council, Office of National Intelligence

Award: Quantum sensing for communication & navigation in challenging environments

OpenAlex ID: W7213250585

Cites: 1

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Related to: 10