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Truncated-Bloch-wave solitons in optical lattices

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TLDR
In this article, the authors studied self-trapped localized nonlinear states in the form of truncated Bloch waves in one-dimensional optical lattices, which appear in the gaps of the linear band-gap spectrum.
Abstract
We study self-trapped localized nonlinear states in the form of truncated Bloch waves in one-dimensional optical lattices, which appear in the gaps of the linear band-gap spectrum. We demonstrate the existence of families of such localized states which differ by the number of intensity peaks. These families do not bifurcate from the band edge, and their power curves exhibit double branches. Linear-stability analysis demonstrates that in deep lattice potentials, the states corresponding to the lower branches are stable, whereas those corresponding to the upper branches are unstable, independently of the number of peaks.

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Solitons in nonlinear lattices

TL;DR: In this paper, a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by nonlinear lattices is presented, with emphasis on perspectives for implementation of the theoretical predictions in the experiment.
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Polariton condensation in solitonic gap states in a one-dimensional periodic potential

TL;DR: This work reports spontaneous condensation in localized gap soliton states in a one-dimensional microcavity with a periodic modulation in a building block for polaritonic circuits, where propagation and localization are optically controlled and reconfigurable.
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Self-localization of polariton condensates in periodic potentials.

TL;DR: It is revealed that the self-localization of exciton-polaritons in the lattice may occur both in the gaps and bands of the single-particle linear spectrum, and is dominated by the effects of gain and dissipation rather than the structured potential, in sharp contrast to the conservative condensates of ultracold alkali atoms.
Journal ArticleDOI

Multipeaked gap solitons in PT-symmetric optical lattices

TL;DR: In this paper, the existence and stability properties of multipeaked solitons in a defocusing Kerr medium with an imprinted complex optical lattice featuring a parity-time symmetry were investigated.
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Nonlinear Polariton Fluids in a Flatband Reveal Discrete Gap Solitons

TL;DR: In this paper, the authors investigated the nonlinear response of cavity polaritons in the gapped flatband of a one-dimensional Lieb lattice and observed the formation of gap solitons with quantized size and abrupt edges, a signature of the frozen propagation of switching fronts.
References
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Optical solitons : from fibers to photonic crystals

TL;DR: In this article, the authors introduce spatial and temporal solitons in photonic crystals, and introduce the concept of Incoherent Solitons, which is a subclass of the spatial and temporally soliton.
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