Polarizabilities of Impurity Doped Quantum Dots under Pulsed Field: Role of Additive White Noise

Abstract

We make a rigorous exploration of the profiles of a few diagonal and off-diagonal components of linear ( α xx , α yy , α xy and α yx ), first nonlinear ( β xxx , β yyy , β xyy and β yxx ), and second nonlinear ( γ xxxx , γ yyyy , γ xxyy and γ yyxx ) polarizabilities of quantum dots under the influence of external pulsed field. Simultaneous presence of additive white noise has also been considered. The quantum dot contains dopant described by a Gaussian potential. The numbers of pulse and the dopant location have been found to fabricate the said profiles jointly. The β components display greater complexity in their profiles in comparison with the α and γ counterparts. The presence of noise prominently enhances the influence of dopant coordinate on the polarizability profiles, particularly for α and γ components. However, for β components, the said influence becomes quite evident both in the presence and absence of additive noise. The study reveals some means of achieving stable, enhanced, and often maximized output of noise-driven linear and nonlinear polarizabilities.