Abstract
We discuss how a three-level system can be used to change the frequency-dependent magnetic permeability of a dense atomic gas to be significantly different from 1. The results show that a negative permittivity and permeability simultaneously with transparent propagation of the electric part of the probe filed can be obtained. Moreover, the magnetic part of the probe field can be amplified instead of strong absorption as usual materials. Therefore, it may be possible to obtain left-handed electrodynamics for an atomic gas using three atomic levels.
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