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We report a study of the magnetic field dependence of the photo-luminescenceof NV$^-$ centers (negatively charged nitrogen-vacancy centers) in diamondsingle crystals. In such a magnetic field dependence characteristic lines areobserved, which are coming from Level Anti-Crossings (LACs) in the coupledelectron-nuclear spin system. For enhancing the sensitivity, we used lock-indetection to measure the photo-luminescence intensity and observed a remarkablystrong dependence of the LAC-derived lines on the modulation frequency. Upondecreasing of the modulation frequency from 12 kHz to 17 Hz the amplitude ofthe lines increases by approximately two orders of magnitude. To take aquantitative account for such effects, we developed a theoretical model, whichdescribes the spin dynamics in the coupled electron-nuclear spin system underthe action of an oscillating external magnetic field. Good agreement betweenexperiments and theory allows us to conclude that the observed effects areoriginating from coherent spin polarization exchange in the NV$^-$ center. Ourresults are of great practical importance allowing one to optimize theexperimental conditions for probing LAC-derived lines in diamond defectcenters.

Level anti-crossing spectra of nitrogen-vacancy centers in diamond detected by using modulation of the external magnetic field