A nitrogen-vacancy centre in diamond has zero-field splitting and electron…

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Quantum Information & Technology · Physical realizations and quantum technologies

Quantum Information and Technology, Ch Trapped ions, neutral atoms, photons, NMR and spins in solids

Problem

A nitrogen-vacancy centre in diamond has zero-field splitting

D=2.87\,\mathrm{GHz}

and electron gyromagnetic ratio

\gamma_e = 28\,\mathrm{GHz\,T^{-1}}

. A static magnetic field

B=10\,\mathrm{mT}

is applied along the NV symmetry axis, Zeeman-shifting the

m_s=\pm1

sublevels by

\pm\gamma_eB

relative to the

m_s=0

level, which is unshifted. ((a)) Find the microwave frequency needed to drive the

m_s=0\to m_s=-1

transition. ((b)) Find the microwave frequency needed to drive the

m_s=0\to m_s=+1

transition.

Related theory

Quantum Mechanics

Browse the problem library