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Acta Physica Sinica

Electromagnetically induced left handedness in inverted Y-type four level atomic system

Zheng Jun, Liu Zheng-Dong, Zeng Fu-Hua, Fang Hui-Juan, (1)南昌大学近代物理研究所，南昌 330031；南昌大学纳米技术工程研究中心，南昌 330047; (2)南昌大学近代物理研究所，南昌 330031；南昌大学纳米技术工程研究中心，南昌 330047；南昌大学材料科学与工程学院，南昌 330031

Published Jan 1, 2008• 5 citations
Publisher

Abstract

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.

DOI
10.7498/aps.57.4219

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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 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.
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.
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.
We propose a scheme of electromagnetically induced left-handedness in a dense atomic vapor medium. By applying an incoherent pump field to manipulate the populations in atomic levels, and a strong coherent field to create quantum coherence, the magnetic part of the probe field can be amplified instead of strong absorption as usual materials. The system has negative permittivity and permeability simultaneously with transparent propagation of the electric part of the probe field. It is shown that the pumping rate of incoherent field, the intensity and frequency detuning of the coherent field, exert effects on the properties of the negative refractive index of left-handed material.
A new mechanism for realizing negative refractive index with a four-level atomic system is suggested. The explicit expressions for the electric permittivity and magnetic permeability at probe frequency are presented. It is shown that there is a frequency band in which the four-level photonic-resonant atomic vapour may exhibit simultaneously negative permittivity and permeability, and that such an atomic vapour may become a left-handed material (negatively refracting medium). Compared with the previous schemes to realize negative refraction within the framework of classical electromagnetic theory, the most remarkable features of the present scenario are as follows: (i) isotropic material with microscopic structure units at atomic-scale level, (ii) negative refraction in visible and infrared frequency bands, (iii) controllable manipulation by external fields and (iv) based on quantum coherence in a multilevel atomic system.