Probing dynamics of an electron-spin ensemble via a superconducting resonator
V. Ranjan, G. de Lange, R. Schutjens, T. Debelhoir, J. P. Groen, D., Szombati, D. J. Thoen, T. M. Klapwijk, R. Hanson, L. DiCarlo

TL;DR
This study investigates the spin relaxation and diffusion dynamics of nitrogen impurity electron spins in diamond at low temperatures using a superconducting resonator, revealing insights into spin diffusion and cross-relaxation effects.
Contribution
It provides new experimental insights into spin relaxation, diffusion, and cross-relaxation in nitrogen impurity ensembles in diamond at cryogenic temperatures.
Findings
Spin linewidth and relaxation time are temperature-independent.
Spin diffusion limits the relaxation process.
Fast cross-relaxation occurs between sub-ensembles.
Abstract
We study spin relaxation and diffusion in an electron-spin ensemble of nitrogen impurities in diamond at low temperature (0.25-1.2 K) and polarizing magnetic field (80-300 mT). Measurements exploit mode- and temperature-dependent coupling of hyperfine-split sub-ensembles to the resonator. Temperature-independent spin linewidth and relaxation time suggest that spin diffusion limits spin relaxation. Depolarization of one sub-ensemble by resonant pumping of another indicates fast cross-relaxation compared to spin diffusion, with implications on use of sub-ensembles as independent quantum memories.
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