Abstract

In this work, we develop and apply an ab-initio method to calculate the joint radial- and- angular electron distributions following the interaction of two-electron spherical quantum dots (QD) with intense terahertz pulses of subpicosecond duration. By applying the method to two QDs of different size, we could investigate two particular ionization mechanisms: the direct and the sequential two-photon double ionization. According to our results, the two ionization mechanisms show some similarity in the angular distribution patterns, whereas the corresponding radial distributions are distinctly different, associated with their joint kinetic energy spectrum. We also discuss the time-evolution of the ionization process in the context of the different nature of the interaction of the QD with the external radiation and the electron–electron correlation interactions.

Highlights

  • The study of the optical properties of semiconductor quantum dots (QDs), wires, and wells has attracted a lot of attention in the domains of fundamental theory and applications for quantum information processing [1], solar energy harvesters, optoelectronics, and digital imaging [2]

  • As the QD structure is size dependent, the radial and angular distributions are presented for two different sizes

  • The first quantum dot (Q1 ) is chosen with radius of 4.6 nm, while the second (Q2 ) has radius of 3.2 nm. Both quantum dots are built from the same semiconductor crystal with an electron effective mass and dielectric constant of m∗e = 0.1 × me and κ = 5 × 1/4πe0, respectively, with me as the vacuum electron mass and e0 as the vacuum permittivity

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Summary

Introduction

The study of the optical properties of semiconductor quantum dots (QDs), wires, and wells has attracted a lot of attention in the domains of fundamental theory and applications for quantum information processing [1], solar energy harvesters, optoelectronics, and digital imaging [2]. The existing theoretical approaches rely on the description of a considerably simplified system by ignoring part of the interelectronic correlations (essential states approximation), an approach which may be not valid when the applied laser field is strong (i.e., when the internal forces acting on each electron are of the order of the laser–electron interaction). In the latter case, the electronic QD continuum and multiply-excited states play a decisive role in the system’s dynamics. It is well known that the theoretical investigations (and associated numerical and computational implementation) of nonlinear processes

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