Influence of Gaussian white noise on the frequency-dependent first nonlinear polarizability of doped quantum dot

Abstract

Articles you may be interested inThird-order nonlinear optical response of CuInS2 quantum dots-Bright probes for near-infrared biodetection Appl. Phys. Lett. 102, 243702 (2013); 10.1063/1.4811786 Frequency-dependent conductance of Kondo quantum dots coupled to ferromagnetic leads J. Appl. Phys. 109, 07C704 (2011); 10.1063/1.3544491Third-order nonlinear optical properties of a one-and two-electron spherical quantum dot with and without a hydrogenic impurity J. Appl. Phys. 106, 063710 (2009); 10.1063/1.3225100Linear and nonlinear optical absorption coefficients and refractive index changes in spherical quantum dots: Effects of impurities, electric field, size, and optical intensityWe investigate the profiles of diagonal components of frequency-dependent first nonlinear (b xxx and b yyy ) optical response of repulsive impurity doped quantum dots. We have assumed a Gaussian function to represent the dopant impurity potential. This study primarily addresses the role of noise on the polarizability components. We have invoked Gaussian white noise consisting of additive and multiplicative characteristics (in Stratonovich sense). The doped system has been subjected to an oscillating electric field of given intensity, and the frequency-dependent first nonlinear polarizabilities are computed. The noise characteristics are manifested in an interesting way in the nonlinear polarizability components. In case of additive noise, the noise strength remains practically ineffective in influencing the optical responses. The situation completely changes with the replacement of additive noise by its multiplicative analog. The replacement enhances the nonlinear optical response dramatically and also causes their maximization at some typical value of noise strength that depends on oscillation frequency. V C 2014 AIP Publishing LLC. [http://dx.

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

“…We have employed a variational recipe to solve the time-independent Schrödinger equation and the trial function ψ(x, y) has been constructed as a superposition of the product of harmonic oscillator eigenfunctions [54][55][56] φ n (px) and φ m (qy) respectively, as…”

“…In some of our recent works we have made detailed discussions on importance of noise in influencing the performances of QD devices [54][55][56]. In these works we have explored the role of Gaussian white noise on the diagonal components of frequency-dependent linear [54], first nonlinear [55], and the second nonlinear [56] polarizabilities of doped QD.…”

“…In these works we have explored the role of Gaussian white noise on the diagonal components of frequency-dependent linear [54], first nonlinear [55], and the second nonlinear [56] polarizabilities of doped QD. In the present manuscript we explore the role of Gaussian white noise on the off-diagonal components of frequency-dependent linear (α xy , α yx ), first nonlinear (second order) (β xyy , β yxx ), and the second nonlinear (third order) (γ xxyy , γ yyxx ) polarizabilities of doped QD.…”

“…The notable works of Karabulut and Baskoutas [30] and Yilmaz and Şahin [34] also deserve mention in related contexts which include the effects of electric field and impurity. In the present study noise has been applied to the system additively and multiplicatively [54][55][56]. The polarizability components can be computed by applying an external electric field of given intensity to the doped system.…”

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

“…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.…”