Print Email Facebook Twitter Parameter Estimation of the Hamiltonian of the Nitrogen-Vacancy Center in Diamond Title Parameter Estimation of the Hamiltonian of the Nitrogen-Vacancy Center in Diamond Author Gharibaan, Rebecca (TU Delft Applied Sciences; TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Taminiau, Tim (mentor) Dubbeldam, Johan (mentor) Randall, Joe (mentor) Blaauboer, Miriam (graduation committee) van Gijzen, Martin (graduation committee) Degree granting institution Delft University of Technology Date 2019-07-16 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 understandingof 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 reportto 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. Subject Nitrogen VacancyNV-centerPerturbation theoryParameter EstimationPerturbationQuadrupoleQuadrupole SplittingNV-centre To reference this document use: http://resolver.tudelft.nl/uuid:8ac72f9f-a3bd-4900-b6a9-bb29fc452256 Part of collection Student theses Document type bachelor thesis Rights © 2019 Rebecca Gharibaan Files PDF BEP_Report_v2.pdf 788.72 KB Close viewer /islandora/object/uuid:8ac72f9f-a3bd-4900-b6a9-bb29fc452256/datastream/OBJ/view