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 (γxxxx, γyyyy) 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.

Oscillator strength of impurity doped quantum dots: Influence of Gaussian white noise

“…We have adopted a variational recipe to solve the time-independent Schrödinger equation and the trial function x y , ψ ( ) has been constructed as a superposition of the product of harmonic oscillator eigenfunctions [42][43][44] [42][43][44]. The matrix element corresponding to the electric field is a standard one (therefore not presented).…”

“…In some of our recent works we have made detailed studies on the importance of noise in influencing the performances of QD devices [42][43][44]. In these works we have explored the role of Gaussian white noise on the polarizabilities of doped QDs.…”

“…An external static electric field has also been applied to the system. Gaussian white noise has been administered to the system both additively and multiplicatively [42][43][44]. In view of a self-contained investigation we have made a meticulous analysis of important features of OS associated with variations of confinement frequency (ω 0 ), electric field strength (F), dopant location (r 0 ), magnetic field (B), impurity potential (V 0 ), noise strength (ζ), and the mode of application of noise (additive/multiplicative).…”

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

“…with V 2 (t)=σ(t) (x+y), where σ(t) is the noise term that follows a Gaussian distribution with characteristics [49,51]:…”

“…Recently, we have made detailed investigations of the role of noise on the linear and nonlinear polarizabilities of impurity doped QDs [49][50][51]. In the present work, we have explored some of the diagonal and off-diagonal components of linear (α xx , α yy , α xy , and α yx ), second-order (β xxx , β yyy , β xyy , and β yxx ), and third-order (γ xxxx , γ yyyy , γ xxyy , and γ yyxx ) polarizabilities of quantum dots in the presence of Gaussian white noise incorporated multiplicatively to the system.…”