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Stable Spatiotemporal Solitons in Bessel Optical Lattices

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TLDR
The model applies to Bose-Einstein condensates and to optical media with saturable nonlinearity, suggesting new ways of making stable three-dimensional solitons and "light bullets" of an arbitrary size.
Abstract
We investigate the existence and stability of three-dimensional solitons supported by cylindrical Bessel lattices in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the variational approximation, that the solitons are stable within one or two intervals of values of their norm. In the latter case, the Hamiltonian versus norm diagram has a swallowtail shape with three cuspidal points. The model applies to Bose-Einstein condensates and to optical media with saturable nonlinearity, suggesting new ways of making stable three-dimensional solitons and "light bullets" of an arbitrary size.

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Citations
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Journal ArticleDOI

Discrete Solitons in Optics

TL;DR: In this article, the authors provide an overview of recent experimental and theoretical developments in the area of optical discrete solitons, which represent self-trapped wavepackets in nonlinear periodic structures and result from the interplay between lattice diffraction (or dispersion) and material nonlinearity.
Journal ArticleDOI

Spatiotemporal optical solitons

TL;DR: In this article, an up-to-date survey of experimental and theoretical results in spatiotemporal optical solitons can be found, together with a review of the outstanding difficulties and open problems.
Journal Article

Nature of Science

TL;DR: The study on general process and methods for scientific knowledge proves that science, which is based on experience and beyoud experience, is a way and method to verify experience.
Book

Optical Solitons

TL;DR: The theory of optical solitons as well as their experimental investigation has progressed rapidly as discussed by the authors, and optical soliton concepts applied to the description of intense electromagnetic beams and ultrashort pulse propagation in various media have contributed much to this field.
Journal ArticleDOI

Frontiers in multidimensional self-trapping of nonlinear fields and matter

TL;DR: In this paper, a review of the state-of-the-art in this field can be found, including non-Kerr nonlinearities, spin-orbit coupling and quantum fluctuations, among others.
References
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Solitons in polyacetylene

TL;DR: In this paper, the authors present a theoretical study of soliton formation in long-chain polyenes, including the energy of formation, length, mass, and activation energy for motion.
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Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms

TL;DR: This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system.
Journal ArticleDOI

Diffraction-free beams.

TL;DR: The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.
Journal ArticleDOI

Discretizing light behaviour in linear and nonlinear waveguide lattices.

TL;DR: Light propagating in linear and nonlinear waveguide lattices exhibits behaviour characteristic of that encountered in discrete systems, which can be exploited to achieve diffraction-free propagation and minimize the power requirements for nonlinear processes.
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