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Optical and Quantum Electronics

Negative refraction in the double quantum dot system

Hussein Ghafel AL-Toki, Amin Habbeb AL-Khursan

Published Oct 17, 2020• 34 citations
Publisher
DOI
10.1007/s11082-020-02580-6

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Abstract The Goos–Hänchen (GH) shifts due to a negative refractive index in double quantum-dot nanostructures are discussed in reflected and transmitted light beams. It is realized that positive and negative GH shifts can be attained in the negative-refraction medium due to the presence of the indirect incoherent pumping field and electron tunneling. We found that the lateral shift at the fixed incident angle can be enhanced (positive or negative) under suitable conditions on the control field, without changing the structure of the cavity. We hope that our proposed configuration may be helpful for future all-optical sensor devices based on quantum-dot nanostructures.
The density matrix theory models the refractive index change in a double quantum dot (DQD) system. The orthogonalized plane wave (OPW) is considered for wetting layer (WL)-quantum dot (QD) transitions, and the transition momenta are calculated. The modeling here considers all possible QD-QD and WL-QD transitions, which is another key property of this work. The results show that the tunneling increment raises the refractive change (RIC) to a huge value. Reducing the probe field enables the superluminal propagation of light, which is of viable importance in optical applications. A weaker probe or a strong pump with moderate tunneling can result in the highest value of RIC.
Abstract In this letter, we propose a novel model for adjusting the Goos–Hänchen shifts (GH) from a fixed cavity. A three-level double quantum dot (QD) molecule is doped in the cavity, which interacts with a probe laser field and an incoherent pumping rate. We initially investigate the refraction index of double QDs utilizing the quantum mechanical density matrix approach in order to achieve negative and positive refractive indexes. The GH shifts of reflected and transmitted light beams in positive and negative refraction indices of the intracavity medium were then studied. The improved negative or positive GH shifts in reflected and transmitted light beams may be accomplished by changing the incoherent pumping rate and tunneling effect. Our findings reveal that the magnitude of the GH shifts is greatly influenced by the absorption of incoming probing light in double QDs. The enormous GH shifts for the perfect tuning cavity have been seen at a given incidence angle.