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Chinese Physics B

Negative refractive index in a four-level atomic system

Zhen-Qing Zhang, Zhengdong Liu, Shun‐Cai Zhao, Jun Zheng, Yan-Fang Ji, Nian Liu

Published Dec 1, 2011• 6 citations
Publisher

Abstract

A closed four-level system in atomic vapour is proposed, which is made to possess left handedness by using the technique of quantum coherence. The density matrix method is utilized in view of the rotating-wave approximation and the effect of a local field in dense gas. The numerical simulation result shows that the negative permittivity and the negative permeability of the medium can be achieved simultaneously (i.e. the left handedness) in a wider frequency band under appropriate parameter conditions. Furthermore, when analysing the dispersion property of the left-handed material, we can find that the probe beam propagation can be controlled from superluminal to subluminal, or vice versa via changing the detuning of the probe field.

DOI
10.1088/1674-1056/20/12/124202

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A closed four-level system in atomic vapour is proposed, which is made to possess left handedness by using the technique of quantum coherence. The density matrix method is utilized in view of the rotating-wave approximation and the effect of a local field in dense gas. The numerical simulation result shows that the negative permittivity and the negative permeability of the medium can be achieved simultaneously (i.e. the left handedness) in a wider frequency band under appropriate parameter conditions. Furthermore, when analysing the dispersion property of the left-handed material, we can find that the probe beam propagation can be controlled from superluminal to subluminal, or vice versa via changing the detuning of the probe field.
A closed four-level system in atomic vapor is proposed, which is made to possess left handedness by means of the technique of quantum coherence.The method of density matrix is utilized in view of the rotatingwave approximation and the effect of local-field in dense gas.The result of the numerical simulation shows that the negative permittivity and negative permeability of the medium can be achieved simultaneously (i.e., the left handedness) in a wider frequency band under appropriate parameter conditions.Furthermore, when analyzing the dispersion property of the left-handed material, we find that the probe beam can be controlled to change from superluminal to subluminal or vice versa via changing the detuning of the probe field.
A closed four-level system in atomic vapor was proposed,which was made to possess left handedness by means of the technique of quantum coherence.The density matrix method was utilized in view of the rotating-wave approximation and the local-field effect in high dense gas.The conclusion of the numerical simulation shows that the medium can simultaneously exhibits left handedness in two visible frequency bands,and one can manipulate the width of the frequence bands by changing the intensity of the control field.
The quantum system with an interaction between a closed Y-type four-level atom and multi-mode light fields is adopted to possess left handedness by means of the technique of quantum coherence. In the representation of interaction, the density matrix method is utilized in view of the rotating-wave approximation and the di-pole approximation.The conclusion of the numerical simulation shows that under the appropriate parameter conditions, the medium can achieve negative permittivity and negative permeability simultaneously (i.e. the left handedness effect happens and the left-handed material is realized.) In the condition of the weak probe field, when the Rabi frequency of probe light increases, the frequency range of the medium to achieve its left-handed effect decreases and the refractive index and absorption coefficient will also changed correspondingly. The medium to affect light absorption and gain in the conditions of the establishment of left -handed effect are also discussed. The paper can be concluded that, in the conditions of weak probe field, the electro-magnetic induction can be used to achieve the left-handed effect of the medium, which extends the implementation of left-handed materials in the experiment, and extends the application field of electro-magnetic induction.
We propose two dense gas schemes of four-level 'Lambda'-type and V-type atoms based on the effect of quantum coherence. It is shown that under certain conditions the dense gas can simultaneously exhibit negative permittivity and negative permeability, and thus become a negative refractive-index material. Furthermore, by analyzing the absorption property of the left-handed materials, we find that the absoption can be reduced via choosing appropriate parameters. Such schemes might be used to fabricate isotropic and homogeneous left-handed material with vanishing absorption in a wider optical frequency band.