Polarizabilities of Impurity Doped Quantum Dots Under Pulsed Field: Role of Multiplicative White Noise

We perform a rigorous analysis of the profiles of a few diagonal and off-diagonal components of linear (alpha(xx), alpha(yy), alpha(xy), and alpha(yx)), first nonlinear (beta(xxx), beta(yyy), beta(xyy), and beta(yxx)), and second nonlinear (gamma(xxxx), gamma(yyyy), gamma(xxyy), and gamma(yyxx)) polarizabilities of quantum dots exposed to an external pulsed field. Simultaneous presence of multiplicative white noise has also been taken into account. The quantum dot contains a dopant represented by a Gaussian potential. The number of pulse and the dopant location have been found to fabricate the said profiles through their interplay. Moreover, a variation in the noise strength also contributes evidently in designing the profiles of above polarizability components. In general, the off-diagonal components have been found to be somewhat more responsive to a variation of noise strength. However, we have found some exception to the above fact for the off-diagonal beta(yxx) component. The study projects some pathways of achieving stable, enhanced, and often maximized output of linear and nonlinear polarizabilities of doped quantum dots driven by multiplicative noise.