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Jiangnan daxue xuebao. Ziran kexue ban

Electromagnetically Induced Left Handed-Effect in a Four-Level Atomic System

Xiangyang Zhang

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Using matrix equation theory,the properties of the relative dielectric permittivity and the relative magnetic permeability are investigated in a lamda-type four-level atomic system.By the means of numerical method,the real parts of both relative dielectric permittivity and the relative magnetic permeability will be negative simultaneously under the condition of choosing appropriately parameters,so the left handedness effect is obtained.In a certain scope,by adjusting the intensity of Rabi frequencies of the coherent field in the steady state,the ranges of left handedness effect are changed correspondingly.Additionally,the properties of the negative refractive index are studied in detail.

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Using matrix equation theory,the properties of the relative dielectric permittivity and the relative magnetic permeability are investigated in a lamda-type four-level atomic system.By the means of numerical method,the real parts of both relative dielectric permittivity and the relative magnetic permeability will be negative simultaneously under the condition of choosing appropriately parameters,so the left handedness effect is obtained.In a certain scope,by adjusting the intensity of Rabi frequencies of the coherent field in the steady state,the ranges of left handedness effect are changed correspondingly.Additionally,the properties of the negative refractive index are studied in detail.
The system of inverted Y-type four-level atoms interacting with multi-mode light fields is discussed. Through the mechanism of quantum interference, the relative dielectric permittivity and the relative magnetic permeability will changed remarkably. Using appropriately chosen parameters, the real parts of both the relative dielectric permittivity and the relative magnetic permeability will be negative, and then the left handedness effect happens and the left-handed material is realized. The properties of left-handed materials such as the range of frequencies of the negative refractive index can be manipulated via changing certain parameters of the system.
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.
The system of a ladder-type four-level atoms interacting with multi-mode light fields is discussed to possess left handedness through the mechanism of quantum interference.In the representation of interaction,the density matrix method is utilized.The conclusion of the numerical simulation shows that to use appropriately chosen parameters,the real parts of both the relative dielectric permittivity and the relative magnetic permeability will be negative,and then the left handedness effect happens and the left-handed material is realized.The medium to affect light absorption and gain in the conclusion of the establishment of left-handed effect are also discussed.The results show that in the condition of weak probe field,the electro-magnetic induction can be used to achieve the left-handed effect of the medium.
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.
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.
We suggest a scheme for obtaining negative refraction with low absorption in a left-handed atomic system.Under the the appropriate conditions,the atomic system displays negative refraction with negative permittivity and permeability(Left-handedness)in a common frequency range,simultaneously.And the imaginary parts of permittivity and permeability show transparently propagate in the same frequency range.Finally,the negative refraction show low absorption due to the EIT effect,and the figure of merit demonstrated this in this resonant atomic system.