the decoherence of the electron spin and meta-stability of 13c nuclear spins in diamond电子自旋的退相干和meta-stability 13 c核自旋的钻石.pdf

Entropy 2011, 13, 949-965; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article The Decoherence of the Electron Spin and Meta-Stability of 13C Nuclear Spins in Diamond Peter Crompton School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK; E-Mail: peter.crompton@uea.ac.uk; Tel.: +44-(0)-1603-592868; Fax: +44-(0)-1603-593868. Received: 21 February 2011; in revised form: 31 March 2011 / Accepted: 18 April 2011 / Published: 5 May 2011 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 3A2 → 3 E 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 Rep