Parameter Estimation of the Hamiltonian of the Nitrogen-Vacancy Center in Diamond
Rebecca Gharibaan (TU Delft - Applied Sciences)
Tim Taminiau – Mentor (TU Delft - QID/Taminiau Lab)
Johan Dubbeldam – Mentor (TU Delft - Mathematical Physics)
Joe Randall – Mentor (TU Delft - QID/Taminiau Lab)
Miriam Blaauboer – Graduation committee member (TU Delft - QN/Blaauboer Group)
Martin van Gijzen – Graduation committee member (TU Delft - Numerical Analysis)
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Abstract
The Hamiltonian of the NV center contains unknown parameters, such as the zero-field splitting and the magnetic field. Knowing how the frequency measurements depend on the parameters will give greater understanding
of the NV center. Including the nitrogen nuclear spin gives us the opportunity to find more parameters such as the quadrupole splitting. Analytically finding expressions for all of these parameters is very time consuming to do, and therefore the method of second order perturbation is used in this report
to find approximations. With this method, estimations of the eigenvalue differences and parameters were found, including new estimations for the quadrupole splitting. As we don't exactly know whether the quadrupole splitting is positive or negative, there are two estimates found given by ΔQ+ = 4949.25(2) kHz and ΔQ- = -4949.11(1) kHz.