Exploring static and frequency-dependent third nonlinear polarizability of doped quantum dots driven by Gaussian white noise

Abstract

We investigate the profiles of diagonal components of static and frequency-dependent third nonlinear (, ) polarizability of repulsive impurity doped quantum dots driven by noise. The dopant impurity potential is represented by a Gaussian function. We have invoked Gaussian white noise applied additively and multiplicatively (in Stratonovich sense). In order to determine the polarizability components, the doped system is subject to an external electric field of given intensity, which may be static or time-dependent. The dopant location and the noise characteristics delicately tailor the polarizability components and produce good number of interesting outcomes. Quiet significantly, we have found ineffectiveness of the noise strength in influencing the polarizability components when the noise is applied additively. However, the multiplicative noise behaves otherwise and gives rise to additional interesting features in the polarizability profiles. The multiplicative noise even causes noticeable enhancement in the magnitude of the polarizability components. The present enquiry gains importance in view of the fact that noise seriously affects the optical properties of doped quantum dot devices. The findings could be relevant within the purview of noise driven optical properties of doped quantum dot systems.