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Results in Physics

Four-wave mixing in a semiconductor quantum dot-metal nano ellipsoid hybrid system

Andreas Spanos, Emmanuel Paspalakis, Spyridon G. Kosionis

Published Nov 5, 2025• 2 citations
Publisher

Abstract

We investigate how the four-wave mixing (FWM) spectrum of a hybrid nanostructure, comprising a semiconductor quantum dot coupled to an ellipsoidal metal nanoparticle and interacting with a weak probe and strong pump electromagnetic field, depends on various parameters, including interparticle distance, the length and orientation of the polar semiaxis of the ellipsoidal nanoparticle, the polarization direction of the fields, and the detuning of the pump field. We present a general analytical steady-state solution for the density matrix elements and use this solution to define the effective Rabi frequency and detuning parameters, which are incorporated into a dressed-state framework. This approach reveals the impact of these physical parameters on the number, position, and width of resonances in the FWM spectrum, offering insights into their underlying mechanisms.

DOI
10.1016/j.rinp.2025.108508

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We investigate how the four-wave mixing (FWM) spectrum of a hybrid nanostructure, comprising a semiconductor quantum dot coupled to an ellipsoidal metal nanoparticle and interacting with a weak probe and strong pump electromagnetic field, depends on various parameters, including interparticle distance, the length and orientation of the polar semiaxis of the ellipsoidal nanoparticle, the polarization direction of the fields, and the detuning of the pump field. We present a general analytical steady-state solution for the density matrix elements and use this solution to define the effective Rabi frequency and detuning parameters, which are incorporated into a dressed-state framework. This approach reveals the impact of these physical parameters on the number, position, and width of resonances in the FWM spectrum, offering insights into their underlying mechanisms.
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.
We study optical effects in a hybrid system composed of a semiconductor quantum dot (SQD) and a spherical metal nanoparticle (MNP) that interacts with a weak probe and a strong pump electromagnetic field. We use modified nonlinear density matrix equations for the description of the optical properties of the system and calculate, numerically, the first-order susceptibilities of the SQD, the MNP, and the total hybrid nanostructure of the probe field in the presence of the pump field. We investigate the dependence of the probe absorption and dispersion spectra of the SQD, the MNP, and the total nanostructure on the interparticle distance and the detuning of the pump field, and stress the influence of the MNP contribution to the total optical response. The results we find are explained according to the theory of two distinct metastates, which constitute conjugations of the SQD excitonic and the MNP plasmonic excitations. We also show that the optical response strongly depends on the actual values of the SQD material parameters.
Abstract We theoretically study the polarization of plasmonic fields in a hybrid nanosystem composed of three different metallic nano ellipsoid and a semiconductor quantum dot. The components of the hybrid nanosystem interact with three electromagnetic fields and one another via dipole-dipole interactions. We derive the density matrix equations at a steady state for the description of the optical properties of the hybrid nanosystem. The polarization of the plasmonic fields induced on the prolate, spherical, and oblate nano ellipsoid is calculated. We find that the polarization of the plasmonic fields depends on the number of the metallic nanoparticles (ellipsoid), the depolarization factor of the metallic nano ellipsoid, the direction of the plasmonic field, and the metallic nano ellipsoid parameters of the hybrid nanosystem. The phenomena of electromagnetically induced transparency (EIT) and electromagnetically induced transparency with amplification (EITA) are obtained in this work.
We investigate theoretically four-wave mixing (FWM) response and optical bistability (OB) in a hybrid nanosystem composed of a metal nanoparticle (MNP) and a semiconductor quantum dot (SQD) coupled to a nanomechanical resonator (NR). It is shown that the FWM signal is enhanced by more than three orders of magnitude as compared to that of the system without exciton-phonon interaction, and the FWM signal can also be suppressed significantly and broadened due to the exciton-plasmon interaction. As the MNP couples strongly with the SQD, the bistable FWM response can be achieved by adjusting the SQD-MNP distance and the pumping intensity. For a given pumping constant and a fixed SQD-MNP distance, the enhanced exciton-phonon interaction can promote the occurrence of bistability. Our findings not only present a feasible way to detect the spacing between two nanoparticles, but also hold promise for developing quantum switches and nanoscale rulers.
We study optical effects in a hybrid system composed of a semiconductor quantum dot and a spherical metal nanoparticle that interacts with a weak probe electromagnetic field. We use modified nonlinear density matrix equations for the description of the optical properties of the system and obtain a closed-form expression for the linear susceptibilities of the quantum dot, the metal nanoparticle, and the total system. We then investigate the dependence of the susceptibility on the interparticle distance as well as on the material parameters of the hybrid system. We find that the susceptibility of the quantum dot exhibits optical transparency for specific frequencies. In addition, we show that there is a range of frequencies of the applied field for which the susceptibility of the semiconductor quantum dot leads to gain. This suggests that in such a hybrid system quantum coherence can reverse the course of energy transfer, allowing flow of energy from the metallic nanoparticle to the quantum dot. We also explore the susceptibility of the metal nanoparticle and show that it is strongly influenced by the presence of the quantum dot.
In this study, we investigate the linear optical response in a hybrid nanostructure composed of a semiconductor quantum dot and a metal shell nanoparticle. We analyze a case wherein the nanostructure interacts with an incident electromagnetic field with polarization parallel to the symmetry axis of the nanosystem. We derive nonlinear density matrix equations in the rotating wave approximation under the quasistatic response of the system, and use a series expansion method to obtain analytical functions for linear susceptibility with respect to both components of the nanostructure. The imaginary part of these expressions is related to the absorption coefficient. We investigate the way in which the modification of the core’s material affects the characteristics of the spectral resonance. For low values of the dielectric constant, the system exhibits amplified gain without population inversion and quenched absorption resonance, while for high values of the dielectric constant, we observe suppression of the gain dip and enhancement of the absorption resonance. In the first regime, the exciton lifetime is suppressed, and in the second case, its value is importantly increased, especially in the case of small interparticle distances where the semiconductor quantum dot and metal shell nanoparticle interact strongly.