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Entropy 2011, 13(5), 949-965; doi:10.3390/e13050949

The Decoherence of the Electron Spin and Meta-Stability of 13C Nuclear Spins in Diamond

School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
Received: 21 February 2011 / Revised: 31 March 2011 / Accepted: 18 April 2011 / Published: 5 May 2011
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Abstract

Following the recent successful experimental manipulation of entangled 13C atoms on the surface of Diamond, we calculate the decoherence of the electron spin in Nitrogen Vacancy NV centers of Diamond via a nonperturbative treatment of the time-dependent Greens function of a Central-Spin model in order to identify the Replica Symmetry Breaking mechanism associated with intersystem mixing between the ms = 0 sublevel of the 3A2 and 1A1 states of the NV centers, which we identify as mediated via the meta-stability of 13C nuclei bath processes in our calculations. Rather than the standard exciton-based calculation scheme used for quantum dots, we argue that a new scheme is needed to formally treat the Replica Symmetry Breaking of the 3A23E excitations of the NV centers, which we define by extending the existing Generalized Master Equation formalism via the use of fractional time derivatives. Our calculations allow us to accurately quantify the dangerously irrelevant scaling associated with the Replica Symmetry Breaking and provide an explanation for the experimentally observed room temperature stability of Diamond for Quantum Computing applications.
Keywords: topological mixing; replica symmetry breaking; entanglement; quantum computing; CP violation topological mixing; replica symmetry breaking; entanglement; quantum computing; CP violation
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Crompton, P. The Decoherence of the Electron Spin and Meta-Stability of 13C Nuclear Spins in Diamond. Entropy 2011, 13, 949-965.

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