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

Ganguly, Jayanta; Ghosh, Manas

doi:10.1016/j.chemphys.2014.04.014

Cited by 16 publications

(44 citation statements)

References 60 publications

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

Section: Methodsmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Saha¹,

Ghosh

2015

Braz J Phys

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We perform a rigorous analysis 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 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 offdiagonal β 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.

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

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Saha¹,

Ghosh

2015

Braz J Phys

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Saha

Ganguly²,

Ghosh

2015

Physica B: Condensed Matter

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Exploring static and frequency-dependent third nonlinear polarizability of doped quantum dots driven by Gaussian white noise

Ganguly¹,

Ghosh

2014

Phys. Status Solidi B

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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.

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

Cited by 16 publications

References 60 publications

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

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

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

Exploring static and frequency-dependent third nonlinear polarizability of doped quantum dots driven by Gaussian white noise

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