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We investigate the profiles of off-diagonal components of static linear ( xy, yx), first nonlinear ( xyy, yxx), and second nonlinear ( xxyy and yyxx), polarizabilities of repulsive impurity doped quantum dots. The dopant impurity potential is expressed as a Gaussian function. The study thrusts on investigating the role of Gaussian white noise on the polarizability components. The noise has been applied additively and multiplicatively to the system (in Stratonovich sense). The doped system is further subjected to a static external electric field. The dopant site and the mode of application of noise design the polarizability components in a subtle manner. We have found that the strength of additive noise fails to influence the polarizability components. However, the multiplicative noise introduces greater delicacy in the observed profiles of polarizability components. The present study reveals appearance of maximization and saturation in the linear and nonlinear polarizability components on some occasions which bears substantial technological importance in the field of noisedriven optical properties of doped quantum dot systems.

Profiles of off-diagonal Components of Static Linear and Nonlinear Polarizabilities of Doped Quantum Dots Driven by Gaussian White Noise