Asymmetric vortex solitons in nonlinear periodic lattices
Date
2004-08-03
Authors
Alexander, Tristram J
Sukhorukov, Andrey
Kivshar, Yuri
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American Physical Society
Abstract
We reveal the existence of asymmetric vortex solitons in ideally symmetric periodic lattices and
show how such nonlinear localized structures describing elementary circular flows can be analyzed
systematically using the energy-balance relations. We present the examples of rhomboid, rectangular,
and triangular vortex solitons on a square lattice and also describe novel coherent states where the
populations of clockwise and anticlockwise vortex modes change periodically due to a nonlinearityinduced
momentum exchange through the lattice. Asymmetric vortex solitons are expected to exist in
different nonlinear lattice systems, including optically induced photonic lattices, nonlinear photonic
crystals, and Bose-Einstein condensates in optical lattices.
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Keywords
Keywords: Energy density; Periodic lattices; Photonic lattices; Waveguide arrays; Crystal lattices; Crystal symmetry; Hamiltonians; Light propagation; Light reflection; Mathematical models; Photons; Solitons; Spectrum analysis; Vortex flow; Nonlinear optics
Citation
Physical Review Letters 93.6 (2004): 063901/1-4
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Physical Review Letters
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Journal article
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