The Decoherence of the Electron Spin Polarization and Meta-stability of C13 Nuclei in Diamond
Abstract
Following the recent successful formation and manipulation of entangled C13 atoms on the surface of Diamond we calculate the decoherence of the electron spin polarization in Diamond via a nonperturbative treatment of the time-dependent Greens function of the Central-Spin model, describing the phonon and Hyperfine couplings of the electron to a bath of C13 atoms, for arbitrary initial polarizations, applied field strengths, and for up to eight entangled C13 atoms. We compare these numerical results with the exact treatment available in the fully initially polarized limit of the non-Markovian dynamics regime, and comment on the role of dangerously irrelevant scaling in the meta-stability of C13 flip-flop processes.
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