Influence of Gaussian white noise on the frequency-dependent linear polarizability of doped quantum dot

- Linear polarizability of quantum dot has been studied.
- Quantum dot is doped with a repulsive impurity.
- The polarizabilities are frequency-dependent.
- Influence of Gaussian white noise has been monitored.
- Noise exploited is of additive and multiplicative nature.

We investigate the profiles of diagonal components of frequency-dependent linear (αxx and αyy) optical response of repulsive impurity doped quantum dots. The dopant impurity potential chosen assumes Gaussian form. The study principally puts emphasis on investigating the role of noise on the polarizability components. In view of this we have exploited Gaussian white noise containing additive and multiplicative characteristics (in Stratonovich sense). The frequency-dependent polarizabilities are studied by exposing the doped dot to a periodically oscillating external electric field of given intensity. The oscillation frequency, confinement potentials, dopant location, and above all, the noise characteristics tune the linear polarizability components in a subtle manner. Whereas the additive noise fails to have any impact on the polarizabilities, the multiplicative noise influences them delicately and gives rise to additional interesting features.