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Journal of Modern Optics

Giant Goos–Hänchen shift via spontaneous generated coherence

Ziauddin Ziauddin

Published Jul 10, 2015• 24 citations
Publisher

Abstract

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.

DOI
10.1080/09500340.2015.1063724

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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.
Abstract The impact of spontaneously generated coherence (SGC) on the Goos–Hänchen (GH) shifts of transmitted and reflected light beams from a cavity with a four-level rubidium atom with a Rydberg state are discussed. Using the quantum mechanical density matrix method, we first discuss the absorption and dispersion properties of the medium, then analyze the GH shifts of transmitted and reflected light beams, respectively. We find that quantum interference from SGC can modify the absorption–dispersion properties, which leads to enhancement in GH shifts in transmitted and reflected light beams. Moreover, the effects of coupling light and its detuning on the properties of GH shifts have been discussed.
The behavior of the Goos-Hanchen (GH) shifts in the reflected and transmitted light beam which is incident on a cavity containing an intracavity medium of three-level or four-level atoms with electromagnetically induced transparency (EIT) is discussed. We report a coherent control of the GH shift in a fixed configuration or device via superluminal and subluminal wave propagation. For superluminal wave propagation, we observe negative GH shifts in the reflected part of the incident light whereas the shifts are positive in the transmitted light beam. This corresponds to the negative group index of the cavity in the former case and positive group index of the cavity in the latter. For subluminal wave propagation, the behavior of the GH shifts in the reflected light changes and positive shifts appear
Influence of PT\mathcal{PT}PT symmetry on the Goos-H\"anchen (GH) shift in the reflected light is presented for an ensemble of atomic medium in a cavity, in the configuration of four-level NNN-type (87Rb^{87}\mathrm{Rb}87Rb atoms) systems driving by two copropagating strong laser fields and a weak probe field. The atom-field interaction follows the realization of PT\mathcal{PT}PT symmetry by adjusting the coupling field detunings [J. Sheng et al., Phys. Rev. A 88, 041803(R) (2013)]. A giant enhancement for the GH shift in the reflected light is revealed when the PT\mathcal{PT}PT-symmetry condition is satisfied.
The behavior of the Goos-H\"anchen (GH) shifts in the reflected and transmitted light beam which is incident on a cavity containing an intracavity medium of three-level or four-level atoms with electromagnetically induced transparency (EIT) is discussed. We report a coherent control of the GH shift in a fixed configuration or device via superluminal and subluminal wave propagation. For superluminal wave propagation, we observe negative GH shifts in the reflected part of the incident light whereas the shifts are positive in the transmitted light beam. This corresponds to the negative group index of the cavity in the former case and positive group index of the cavity in the latter. For subluminal wave propagation, the behavior of the GH shifts in the reflected light changes and positive shifts appear; however, the GH shifts in the transmitted light remains positive. The corresponding group index of the cavity is positive in both cases.
A gain-assisted model is considered to study the Goos-H$\stackrel{\ifmmode \ddot{}\else \"{}\fi{}}{\text{a}}$nchen (GH) shift behavior in the reflected and transmitted light. In this model, a probe light is incident on a cavity containing three-level dilute gaseous atomic medium. The atom-field interaction follows two-photon Raman transitions, and the dielectric susceptibility of the medium exhibits dispersion and gain properties [L. J. Wang, A. Kuzmich, and A. Dogariu, Nature (London) 406, 227 (2000)]. Under appropriate conditions, two gain peaks are observed with anomalous dispersion between the peaks, whereas normal dispersion can be observed at and around the gain maxima. The manipulation of the detuning associated with the probe light field which interacts with the intracavity medium during its propagation through the cavity can lead to a control over negative and positive GH shift in the reflected and transmitted light beam via the anomalous and normal dispersion of the medium.
Control of Goos-H$\stackrel{\ifmmode \ddot{}\else \"{}\fi{}}{\text{a}}$nchen (GH) shift in reflected and transmitted light is revisited for a Gaussian light incident on a cavity. The intracavity atomic medium follows duplicated two-level atomic configurations where two fields, i.e., a strong control field and a relatively weak probe field are employed [F. A. Hashmi and M. A. Bouchene, Phys. Rev. Lett. 101, 213601 (2008)]. The coherent control is achieved via phase shift $\ensuremath{\phi}$ between control and probe fields. The effect of incident light width on negative or positive GH shifts and distortion in the reflected and transmitted light is investigated.