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 → 3E 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.
Highlights
Several experimental groups [1,2,3,4] have investigated the feasibility of processing QuantumInformation via the manipulation of optically excited electron spins [5] in Diamond, with a focus on Diamonds’ optically active Nitrogen Vacancy (N V ) centers
The experimental proposal for making qubits from Diamond in [1,2,3,4] is to form a qubit via a single spin in the N V − center coupled to a bath of the neighboring 13 C nuclear spins, which slowly decoheres via the spectral diffusion of the nuclear spin polarizations
A recent experimental proposal for making qubits from Diamond in [1,2,3,4] is to form a qubit via a single electron spin in the N V − center coupled to a bath of the neighboring 13 C nuclear spins, which slowly decoheres via the spectral diffusion of the nuclear spin polarizations
Summary
Several experimental groups [1,2,3,4] have investigated the feasibility of processing QuantumInformation via the manipulation of optically excited electron spins [5] in Diamond, with a focus on Diamonds’ optically active Nitrogen Vacancy (N V ) centers.
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