Analyzing Time‐Average Excitation Rate Among Quantum Dot Eigenstates Triggered by Time‐Dependent Noise Strength

Abstract

Quantum dots (QDs) are acclaimed low-dimensional nanosystems, where we find complete spatial arrest of the motion of the carriers (electrons and holes). Their extremely small dimension helps them display quantum manifestations through various size-dependent physical properties. These properties can be tuned externally thereby making QDs immensely valuable components of technologically advanced devices. As a result, we frequently find research works that analyze various aspects of the low-dimensional nanosystems, [1][2][3][4][5][6][7][8] particularly emphasizing their nonlinear optical (NLO) responses. The effective confinement potential (ECP) of QD principally controls its energy spectrum and the eigenstates. Thus, modulation of ECP can be useful to tailor its properties and consequent applications in fabricating advanced quantum devices. Doping of impurity to QD influences its ECP, which, in turn, profoundly modulates its physical properties. Consequently, studies delving into the impurity effects in QD and other low-dimensional nanosystems are found to be quite abundant.

External Field‐induced Transitions in Quantum Dot: Role of Noise‐anharmonicity Interplay

“…Thus, it goes without saying that the present work examines the TAER from entirely different perspective as it explores the extremely crucial role played by anharmonic potential of different parities which has not been hitherto explored by us. Thus, the present enquiry is absolutely independent of our previous works [64–68] . It needs to be mentioned that, since we are making our studies on the same system, the inherent Hamiltonian defining the system remains the same in all these inspections.…”

“…However, in those studies no dynamical aspects were explored [64,65] . Moreover, very recently, in some other works we have explored TAER among the QD eigenstates triggered by time‐dependent noise strength, [66] external PF [67] and external PRF [68] . However, in these studies the presence of anharmonicities in QD confinement potential has not been considered.…”

Excitation Dynamics Among Impurity Doped Quantum Dot Eigenstates in a Polychromatic Field: Role of Gaussian White Noise

“…It goes without saying that the present work examines the TAER in entirely different context. Whereas in the present study the excitation is induced by an external PRF under fixed, time‐independent noise strength, in the work mentioned above, [60] no external field was applied. In that study the excitation has been induced by a time‐dependent noise strength which is a part of the system Hamiltonian.…”

“…[59] Moreover, very recently, in another work we have explored TAER among the QD eigenstates triggered by timedependent noise strength. [60] In that case the time-dependent fluctuation of ζ has been considered to be both periodic and random with respect to its initial value. It goes without saying that the present work examines the TAER in entirely different context.…”

“…And in another recent work, although the said excitation has been examined including impurity and noise effects, the external field was a simple sinusoidal one and not a PRF [59] . Moreover, very recently, in another work we have explored TAER among the QD eigenstates triggered by time‐dependent noise strength [60] . In that case the time‐dependent fluctuation of ζ has been considered to be both periodic and random with respect to its initial value.…”