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Journal of the Optical Society of America B

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

Muqaddar Abbas, Ziauddin Ziauddin, Sajid Qamar

Published Jan 3, 2017• 7 citations
Publisher

Abstract

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.

DOI
10.1364/josab.34.000245

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Journal of Modern Optics•Jul 10, 2015•24 citations
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.
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.
The negative and positive Goos-H\"anchen (GH) shifts in reflected light are revisited for a partial coherent light incident on a cavity. A three-level dilute gaseous atomic medium, which follows two-photon Raman transitions, is considered in a cavity. The anomalous (negative group index) and normal (positive group index) dispersions of the intracavity medium lead to negative and positive GH shifts, respectively. The effects of beam width, spatial coherence, and mode index of partial coherent light fields are studied on the negative and positive GH shifts. It is observed that the amplitude of negative and positive GH shifts are relatively large for a small range of beam width and for a small value of spatial coherence of partial coherent light beams. The amplitude of GH shifts becomes small for large beam width and spatial coherence of incident light. Further, the distortion in the reflected light field increases when the amplitude of the GH shifts increases and vice versa.
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 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.
Tunneling-induced quantum interference experienced by an incident probe in the asymmetric double AlGaAs/GaAs quantum well (QW) structure can be modulated by means of an external control light beam and the tunable coupling strengths of resonant tunneling. These phenomena can be exploited to devise a novel intracavity medium to control Goos-Hänchen (GH) shifts of a mid-infrared probe beam incident on a cavity. For a suitably designed QW structure, our results show that maximum negative shift of 2.62 mm and positive shift of 0.56 mm are achievable for GH shifts in the reflected and transmitted light.
The influence of spontaneous generated coherence (SGC) on the Goos–Hänchen (GH) shift in the reflected light is presented. A weak probe light is incident on a cavity containing three-level gaseous atomic medium consist of 85Rb atoms. The atom–field interaction follows electromagnetically induced transparency configuration, and the SGC modifies the dispersion and absorption properties of a system [Y. Niu and S. Gong, Phys. Rev. A 73, 053811 (2006)]. The SGC enhances the Kerr nonlinearity which leads to giant negative and positive GH shifts in the reflected light. Further, the control of negative and positive GH shifts is achieved via manipulation of probe field detuning.