Optical $Λ$ transitions and quantum computing in the $^{15}$N-V$^{-}$ Center in Diamond

Details Optical $Λ$ transitions and quantum computing in the $^{15}$N-V$^{-}$ Center in Diamond Optical $Λ$ transitions and quantum computing in the $^{15}$N-V$^{-}$ Center in Diamond

2009-06-15

arxiv.org/abs/0906.2737v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

revised version (corrected typos and added references)

Scientific paper

We present a thorough derivation of the excited state energy levels of the negatively charged $^{15}$N-V$^{-}$ center in diamond for the strong applied electric field case. We show that in the $^{15}$N-V$^{-}$ center a spin non-conserving two-photon $\Lambda$ transition exists that is mediated by the hyperfine interaction, which provides the possibility to write quantum information. Using second order perturbation theory we obtain a $\Lambda$ transition rate of the order of 10 MHz at room temperature, which allows for approximately $10^4$ quantum logic operations within the spin coherence time $\tau_d(T=300 K)\approx 1m$s of the $^{15}$N-V$^{-}$ center.

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