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Journal of Hebei University

Electromagnetically Induced Negative Refraction Driven by Microwave Field in Four-level System

Lianshui Zhang

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

Electromagnetically induced negative refraction is an intriguing phenomenon of light-atom interaction.The study of its formation mechanism and nonlinear behavior has theoretical significance and potential applications.In this paper,electromagnetically induced negative refraction is associated with a four-level system driven by microwave field,where a coupling field couples two separate optical transitions.The permittivity and permeability of the system is studied as a function of coupling field detunings,and the result shows that electromagnetically induced negative refraction can be realized by controlling the coupling field detunings when the Rabi frequency of coupling field is fixed.

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Electromagnetically induced negative refraction is an intriguing phenomenon of light-atom interaction.The study of its formation mechanism and nonlinear behavior has theoretical significance and potential applications.In this paper,electromagnetically induced negative refraction is associated with a four-level system driven by microwave field,where a coupling field couples two separate optical transitions.The permittivity and permeability of the system is studied as a function of coupling field detunings,and the result shows that electromagnetically induced negative refraction can be realized by controlling the coupling field detunings when the Rabi frequency of coupling field is fixed.
The electromagnetically induced negative refraction is an interesting phenomenon of light-atom interaction.The study of its formation mechanism and nonlinear behavior has theoretical significance and potential applications.A Λ-type four-level system configuration with tunable double coupling fields was established.The permittivity and permeability of the system were studied as a function of double coupling field detunings,and the realization of electromagnetically induced negative refraction was investigated.It can be seen that under fixed Rabi frequencies of double coupling fields,when one is resonant and the other is off-resonant or both two are off-resonant,the electromagnetically induced negative refraction can be realized,but showing different characteristics.
Electromagnetically induced negative refraction induced by microwave field driving hyperfine level transition is studied by proposing a quasi-lambda type four-level system. Negative refraction characteristics are observed when hyperfine levels within ground state are driven by a microwave field which interacts with electric dipole moment or magnetic dipole moment at different hyperfine levels. In addition, two optical transitions between ground state and excited state are driven by two coupling fields respectively, and the frequency bandwidth of negative refraction is controlled by the detuning of two coupling fields. It is shown that frequency bandwidth of negative refraction is much narrower under off-resonant coupling field than under the resonant coupling field and there is a significant difference in behavior between positively detuned coupling field and negatively detuned coupling field.
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.
This paper intends to realize negative refraction with absorption suppressed by the electromagneticly induced transparency(EIT) in a dense four-level atomic system. Without the two equal transition frequencies responding to the probe field, the atomic system displays a negative refraction with the simultaneously negative permittivity and negative permeability(Left-handedness). The response of the probe field is amplified and propagates transparency in some frequency extents. Therefore, our aim for searching the low-loss negative refraction can be achieved in the scheme, given the main applied limitation of the negative refractive materials is the large amount of dissipation and absorption. However, an excessive signal field intensity would increase the absorption near the resonance in our scheme.
We present a theoretical study on the nonlinear behaviors of the electromagnetically induced transparency resonance subject to two microwave driving fields in a four-level atom system. The probe absorption spectrum is obtained by solving numerically the relevant equations of density matrix. It is shown that there are two pairs of the EIT windows in the probe absorption spectrum. The two pairs of EIT windows have symmetry with respect to the resonance frequency of the probe field, and the separation is equal to the Rabi frequency of the resonant microwave driving field. But in each pair, the splitting of two EIT windows is dominated to the strength of detuning microwave driving field.
This paper investigates the microwave-synchronized fine-tuning of electromagnetically induced chirality in a four-level atomic system. The system is driven by two optical fields and one microwave field in an extended double-Λ configuration. Under low-density conditions, the system exhibits double electromagnetically induced transparency (EIT), which can be controlled by adjusting the amplitudes of coupling fields and the phase of the microwave field. We show that, under suitable conditions of the coupling field amplitudes and microwave phase, the double EIT reduces to a single EIT as a result of multi-path quantum interference. These optical processes are elucidated using dressed-state analysis. In this context, we also examine the magnetic susceptibility and chiral coefficients. Furthermore, by incorporating local-field corrections for a high-density medium, we demonstrate broadband absorption-free negative refraction of the probe field, where neither the effective permittivity nor the permeability is required to be simultaneously negative.