Non-linear optical response of single carrier 2-D anharmonic quantum dots

A linear variational route is explored for computing the first non-linear polarizability (β) of single carrier quantum dots with anharmonicity in the confinement potential. Variations in β with variations in the strength of the confining potential (ω0), the perpendicular magnetic field strength (ωc) and the strength of a specific form of anharmonic coupling (λ) are analyzed. A 2 × 2 model is used to predict analytically the nature of λ, ωc and ω0 dependence of β and compare with what is obtained from a more detailed calculation.