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Journal of the Optical Society of America B

Study of Goos–Hänchen shifts of partially coherent light fields using a triple quantum dot system in the presence of giant Kerr nonlinearity

Muqaddar Abbas, Sajid Qamar

Published Jun 7, 2016• 13 citations
Publisher

Abstract

The coherent coupling between three quantum dots via tunneling fields leads to double tunneling-induced transparency and giant Kerr nonlinearity with vanishing absorption. This creates the possibility to achieve self-phase modulation in semiconductor nanostructures via controllable tunneling under the conditions of low light levels. As a result, a considerably high refractive index can be obtained. We suggest an intracavity medium which consists of triple quantum dot molecules to control the Goos–Hänchen (GH) shifts in the reflected light. For a suitable design of a triple quantum dot system, our results show that relatively large positive and negative GH shifts are achievable, without significant distortion, using partially coherent incident light fields.

DOI
10.1364/josab.33.001444

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Goos–Hänchen shift of partially coherent light fields in double quantum dots

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Goos–Hänchen (GH) shifts in the reflected and transmitted light are investigated for p-polarized partially coherent light beams incident on a cavity having a quantum dot (QD) system as the intracavity medium. The coherent coupling between the two quantum dots via a tunneling field leads to tunneling-induced transparency and giant Kerr nonlinearity with vanishing absorption. The Kerr nonlinearity of the double QD system thus increases the amplitude of GH shifts in the reflected and transmitted light. The influence of the spatial coherence and the beam width of the partially coherent light fields on GH shifts in the reflected and transmitted light are also investigated, and large GH shifts are reported for the small range of the spatial coherence and the beam width of the partially coherent light field.

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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.

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Journal of the Optical Society of America B•Jun 3, 2014•43 citations
The coherent coupling between three quantum dots via tunneling fields leads to double tunneling-induced transparency and giant Kerr nonlinearity with vanishing absorption. This creates the possibility to achieve self-phase modulation in semiconductor nanostructures via controllable tunneling under the conditions of low light levels. As a result, a considerably high refractive index can be obtained. We suggest an intracavity medium which consists of triple quantum dot molecules to control the Goos–Hänchen (GH) shifts in the reflected light. For a suitable design of a triple quantum dot system, our results show that relatively large positive and negative GH shifts are achievable, without significant distortion, using partially coherent incident light fields.
Goos–Hänchen (GH) shifts in the reflected and transmitted light are investigated for p-polarized partially coherent light beams incident on a cavity having a quantum dot (QD) system as the intracavity medium. The coherent coupling between the two quantum dots via a tunneling field leads to tunneling-induced transparency and giant Kerr nonlinearity with vanishing absorption. The Kerr nonlinearity of the double QD system thus increases the amplitude of GH shifts in the reflected and transmitted light. The influence of the spatial coherence and the beam width of the partially coherent light fields on GH shifts in the reflected and transmitted light are also investigated, and large GH shifts are reported for the small range of the spatial coherence and the beam width of the partially coherent light field.
Abstract We proposed a model for adjusting Goos–Hänchen (GH) shifts in a cavity with quantum dot (QD) nanostructure in this letter. The actual component of the susceptibility was studied by analytical solution of the coherence term of the density matrix elements, and the refractive index of the QD nanostructure was explored. We discovered that the intracavity medium became phase sensitive because of the electron tunneling action. As a result, the relative phase of applied lights may be used to manipulate the medium’s refraction index. The GH shifts in reflected and transmitted light beams in high refractive index QD nanostructures with diminishing probe absorption were next examined. We discovered that the GH shifts of reflected and transmitted lights are greatly influenced by the applied lights’ relative phase. We established that greater negative or positive GH shifts in reflected and transmitted photons are conceivable in the presence of electron tunneling.
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.
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.
We study the controlling of the Goos-Hänchen (GH) shifts in reflected and transmitted light beams in the triple coupled InGaAs/GaAs quantum dot (QD) nanostructures with electron tunneling and incoherent pumping field. It is shown that the lateral shift can become either large negative or large positive, which can be controlled by the electron tunneling and the rate of incoherent pump field in different incident angles. It is also demonstrated that the properties of the GH shifts are strongly dependent on the probe absorption beam of the intracavity medium due to the switching from superluminal light propagation to subluminal behavior or vice versa. Our suggested system can be considered as a new theoretical method for developing a new nano-optoelectronic sensor.
A scheme for giant enhancement of the Kerr nonlinearity in linear triple quantum dot molecules is proposed. In such a system, the tunneling-induced transparency window obtained in double quantum dot molecules splits into two windows, due to the coupling with the third quantum dot. And most important, the Kerr nonlinearity can be enhanced by several orders of magnitude, compared with that generated in double quantum dot molecules. With proper detuning of the tunneling, giant Kerr nonlinearity accompanied by vanishing absorption can be realized, which opens the possibility to enhance self-phase modulation in tunneling controllable semiconductor nanostructures under conditions of low light levels. Quantitative analysis shows that the giant Kerr nonlinearity is attributed to the interacting double dark resonances induced by the tunneling between the triple quantum dots, therefore no extra laser fields are required.