A Method for Measurement of Spin-Spin Couplings with sub-mHz Precision Using Zero- to Ultralow-Field Nuclear Magnetic Resonance

Abstract

We present a method which allows for the extraction of physical quantities directly from zero- to ultralow-field nuclear magnetic resonance (ZULF NMR) data. A numerical density matrix evolution is used to simulate ZULF NMR spectra of several molecules in order to fit experimental data. The method is utilized to determine the indirect spin-spin couplings ($J$-couplings) in these, which is achieved with precision of $10^{-2}$--$10^{-4}$ Hz. The simulated and measured spectra are compared to earlier research. Agreement and precision improvement for most of the $J$-coupling estimates are achieved. The availability of an efficient, flexible fitting method for ZULF NMR enables a new generation of precision-measurement experiments for spin-dependent interactions and physics beyond the Standard Model.

arXiv comment8 pages, 7 figures

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• Spin-Dependent Macroscopic Forces from New Particle Exchange
• Near-zero-field nuclear magnetic resonance
• Optical detection of NMR J-spectra at zero magnetic field
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Cited by in corpus (7)

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• Zero- to Ultralow-field Nuclear Magnetic Resonance
• Two-Dimensional Single- and Multiple-Quantum Correlation Spectroscopy in Zero-Field Nuclear Magnetic Resonance
• Relativistic and QED corrections to one-bond indirect nulcear spin-spin couplings in X${}_2^{2+}$ and X${}_3^{2+}$ ions (X = Zn, Cd, Hg)
• Zero-Field J-spectroscopy of Quadrupolar Nuclei
• AppQSim: Application-oriented benchmarks for Hamiltonian simulation on a quantum computer
• Prospects for NMR Spectral Prediction on Fault-Tolerant Quantum Computers