The Decoherence of the Electron Spin Polarization and Meta-stability of $C^{13}$ Nuclei in Diamond

Details The Decoherence of the Electron Spin Polarization and Meta-stability of $C^{13}$ Nuclei in Diamond The Decoherence of the Electron Spin Polarization and Meta-stability of $C^{13}$ Nuclei in Diamond

2009-01-26

arxiv.org/abs/0901.4065v2

Entropy 2011, 13(5), 949-965

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

Following the recent successful formation and manipulation of entangled $C^{13}$ 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 $C^{13}$ atoms, for arbitrary initial polarizations, applied field strengths, and for up to eight entangled $C^{13}$ 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 $C^{13}$ flip-flop processes.

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