Transition Probability and Frequency of an Electron in an Asymmetric Gaussian Confinement Potential Quantum Dot with Electromagnetic Field

Abstract

In this paper, the asymmetric Gaussian confinement potential (AGCP) and the parabolic confinement potential (PCP) are selected to describe the along growth direction and perpendicular to growth direction confinement potential (PC) of electron in a disk quantum dot, respectively. The energies of the ground and internal-excited states of the electron in a quantum dot with the thickness effect are investigated by using the Pekar-type variational method, and on the basis of the Fermi Golden Rule, the transition of the electron caused by the electric field and magnetic field are discussed. This quantum system in nanostructure can be employed as a two-level quantum qubit. Our numerical results have displayed that the electric field or magnetic field is not only an indispensable condition for the induced electron transition, but its different values have a strong regulatory function on the transition probability; the influence of the well width $L$ and the well depth $V_{0}$ of the AGCP on the transition probability $Q$ and frequency $\omega$ are important and interesting; it is also found in this work that the AGCP is better than PCP in explaining the quantum size effect of QDs and modulating electron transition properties, respectively. This work confirms that the choice of a confinement potential is crucial for the study of electron transition in nanostructures.