Abstract

In this study, the four-wave mixing (FWM) spectrum of a strongly pumped hybrid structure is theoretically examined. The hybrid structure consists of an asymmetric double semiconductor quantum dot (SQD) molecule and a spherical metal nanoparticle (MNP), which are coupled together via long-range Coulomb interaction. Having as a starting point the Hamiltonian of the system, in the dipole and the rotating-wave approximations, we derive a set of nonlinear density matrix equations, which are numerically solved, in the steady-state limit, and then the FWM coefficient is calculated within a range of values of the pump–probe field detuning. The spectral response of the FWM coefficient is investigated, for different values of the pump-field detuning, the electron-tunneling rate, and the energy gap between the upper states in the energy-level scheme of the double SQD molecule, while the interparticle distance between the two components of the structure is modified.

Highlights

  • The coupling between the excitonic and the plasmonic nanoparticles produces collective optical properties, which are quite different from the properties of the individual components, such as the emission, the dispersion and the absorption. These interesting optical effects have attracted the scientific interest, both on an experimental, as well as on a theoretical level, in hybrid nanostructures which are composed of semiconductor quantum dot (SQD) and metal nanoparticle (MNP) [1,2,3,4,5]

  • We are interested in the study of a complex structure in which an asymmetric double-SQD molecule is coupled to an MNP

  • The four-wave mixing (FWM) coefficient is calculated within a range of values of the pump-probe field detuning

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Summary

Introduction

The coupling between the excitonic and the plasmonic nanoparticles produces collective optical properties, which are quite different from the properties of the individual components, such as the emission, the dispersion and the absorption. The study of the Λ-type system that describes the asymmetric double-SQD system has attracted the scientific interest of several scientists, who investigated the pump-probe response and the FWM [6,7] and as the Autler-Townes splitting and the tunneling-induced transparency [8,9]. We are interested in the study of a complex structure in which an asymmetric double-SQD molecule is coupled to an MNP. The spectral response of the FWM coefficient is investigated, for different values of the pump-field detuning, the electrontunneling rate and the energy gap between the upper states in the energy-level scheme of the double SQD molecule for different values of the distance between the SQD and MNP

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