Abstract
In analogy to an electronic band gap in semiconductor crystals, periodic dielectric structures have a photonic band gap, namely, a band of frequencies over which electromagnetic waves cannot propagate in any direction. Such structures are now known as photonic crystals. A photonic hand gap occurs due to destructive interference between waves scattered from the periodic dielectric structure. Hy nature any dielectric material is nonlinear. The nonlinearity changes photonic hand-gap properties to some degree. In one-dimensional (1D) photonic crystals, even weak nonlinearity acts as a large perturbation on these properties. In recent years it has been shown that 1D Kerr-nonlinear photonic crystals admit, hand-gap solitary waves, which are called gap solitons. Current studies correspond to classical gap solitons. Since quantum many-body properties of light can be important in nonlinear optical processes, we have developed the quantum theory of gap solitons in a 1D Kerr-nonlinear photonic crystal.
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© 1996 Springer Science+Business Media New York
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Cheng, Z., Kurizki, G. (1996). Theory of Quantum Gap Solitons. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9742-8_180
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DOI: https://doi.org/10.1007/978-1-4757-9742-8_180
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9744-2
Online ISBN: 978-1-4757-9742-8
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