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Optics Communications

Transparency induced by the quantum interference of a six-level atom in photonic crystals with defect modes

Xun‐Wei Xu, Nian-Hua Liu

Published Nov 29, 2009• 8 citations
Publisher
DOI
10.1016/j.optcom.2009.11.017

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We study the transmission spectra of a one-dimensional photonic crystal with a defect containing a four-level atomic medium that exhibits a greatly enhanced third-order susceptibility while having a vanishing linear susceptibility dependent on the electromagnetically induced transparency. Two ways of controlling the transmission of a photonic crystal are discussed: via absorption, i.e., nonlinear (two-photon) absorption of the probe field enhanced by constructive quantum interference, and via dispersion, which comes down to shifting the resonance frequency of the defect mode for the probe field by varying the refractive index based on the giant Kerr nonlinearity (cross-phase modulation). We demonstrate that such systems enable nonlinear all-optical switching at ultralow intensities of the coupling and switching laser fields.
Quantum interference in the probe absorption spectrum of a four-level atom embedded in a double-band photonic crystal has been investigated. The double V-type transitions from the two upper levels to the two lower levels interact with the free vacuum modes and the PBG modes synchronously. We study the additional transparency and the elimination of the probe absorption line in this paper. The new features of two transparencies resulting from the singularity of the state density of PBG modes are also predicted.
We studied the transmission spectrum of a one-dimensional photonic crystal containing a defect layer in which electromagnetically induced transparency is possible. The analysis is performed taking into account the spatial inhomogeneity of interacting fields in the photonic crystal. It is found that the transmission spectrum of such a photonic crystal depends on the spatial overlap of defect modes excited by probe and control radiations. It is shown that electromagnetically induced transparency can result in a considerable narrowing of the defect mode spectrum.