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Monash University has derived exact analytical formulas for the energy levels of nitrogen-vacancy centres in diamond, eliminating the need for computationally intensive simulations or approximations. This breakthrough enables precise modeling of hyperfine structures for both common nitrogen isotopes, directly advancing the development of quantum sensors and computers that rely on these atomic defects. By simplifying the mathematical framework for predicting spin behavior under magnetic fields, this work removes a significant bottleneck in scaling diamond-based quantum technologies.

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Monash University Derives Exact Formulae for NV Centre Spin States

Quantum ZeitgeistSeptember 28, 20265 min read

Calculating energy levels within nitrogen-vacancy centres previously demanded either intensive computation or compromise via approximation. Now, a complete analytical solution exists for both common nitrogen isotopes, fourteen and fifteen, bypassing those limitations entirely. This advance offers greater precision in modelling these defects, potentially optimising performance across quantum technologies and diamond material analysis.

Exact analytical formulas calculate the energy levels and properties of nitrogen-vacancy (NV) centres in diamond subjected to magnetic fields. This allows precise computation of hyperfine structure, the interaction between an electron’s spin and its host nucleus, for both common isotopes of nitrogen, namely nitrogen-14 and -15. Previously, determining these values relied on complex numerical calculations or approximations; a complete analytic solution is now available. The new formulas simplify calculations used in developing technologies reliant on defects within diamonds, as these imperfections are key to quantum sensors and computers.…

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