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Critical thermalization of a disordered dipolar spin system in diamond
Georg Kucsko, Soonwon Choi, Joonhee Choi, Peter C. Maurer, Hitoshi Sumiya, Shinobu Onoda, Junich Isoya, Fedor Jelezko, Eugene Demler, Norman Y. Yao, Mikhail D. Lukin
Résumé : Statistical mechanics underlies our understanding of macroscopic quantum systems. It is based on the assumption that out-of-equilibrium systems rapidly approach their equilibrium states, forgetting any information about their microscopic initial conditions. This fundamental paradigm is challenged by disordered systems, in which a slowdown or even absence of thermalization is expected. We report the observation of critical thermalization in a three dimensional ensemble of $\sim10^6$ electronic spins coupled via dipolar interactions. By controlling the spin states of nitrogen vacancy color centers in diamond, we observe slow, sub-exponential relaxation dynamics consistent with power laws that exhibit disorder-dependent exponents; this behavior is modified at late times owing to many-body interactions. These observations are quantitatively explained by a resonance counting theory that incorporates the effects of both disorder and interactions.