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arXiv · hep-th/9605052

Effective Field Theory for Coherent Optical Pulse Propagation

Q-Han Park·H. J. Shin
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Abstract

Hidden nonabelian symmetries in nonlinear interactions of radiation with matter are clarified. In terms of a nonabelian potential variable, we construct an effective field theory of self-induced transparency, a phenomenon of lossless coherent pulse propagation, in association with Hermitian symmetric spaces $G/H$. Various new properties of self-induced transparency, e.g. soliton numbers, effective potential energy, gauge symmetry and discrete symmetries, modified pulse area, conserved $U(1)$-charge etc. are addressed and elaborated in the nondegenerate two-level case where $G/H = SU(2)/U(1)$. Using the $U(1)$-charge conservation, a new type of analysis on pulse stability is given which agrees with earlier numerical results.

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Q-Han Park, H. J. Shin. 1996-05-08. Effective Field Theory for Coherent Optical Pulse Propagation. https://arxiv.org/abs/hep-th/9605052

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