Fabricating off-diagonal components of frequency-dependent linear and nonlinear polarizabilities of doped quantum dots by Gaussian white noise

• Linear and nonlinear polarizabilities of quantum dot are studied.
• The polarizability components are off-diagonal and frequency-dependent.
• Quantum dot is doped with a repulsive impurity.
• Doped system is subject to Gaussian white noise.
• Mode of noise application affects polarizabilities.

We make a rigorous exploration of the profiles of off-diagonal components of frequency-dependent linear (αxy, αyx), first nonlinear (βxyy, βyxx), and second nonlinear (γxxyy, γyyxx) polarizabilities of quantum dots driven by Gaussian white noise. The quantum dot is doped with repulsive Gaussian impurity. Noise has been applied additively and multiplicatively to the system. An external oscillatory electric field has also been applied to the system. Gradual variations of external frequency, dopant location, and noise strength give rise to interesting features of polarizability components. The observations reveal intricate interplay between noise strength and dopant location which designs the polarizability profiles. Moreover, the mode of application of noise also modulates the polarizability components. Interestingly, in case of additive noise the noise strength has no role on polarizabilities whereas multiplicative noise invites greater delicacy in them. The said interplay provides a rather involved framework to attain stable, enhanced, and often maximized output of linear and nonlinear polarizabilities.

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