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Theory of Quantum Gap Solitons

  • Ze Cheng
  • Gershon Kurizki
Conference paper

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.

Keywords

Photonic Crystal Solitary Wave GaAs Crystal Weak Nonlinearity Relative Refractive Index 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Ze Cheng
    • 1
  • Gershon Kurizki
    • 1
  1. 1.Department of Chemical PhysicsWeizmann Institute of ScienceRehovotIsrael

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