On multidimensional solitons and their legacy in contemporary Atomic, Molecular and Optical physics

@article{Malomed2016OnMS,
  title={On multidimensional solitons and their legacy in contemporary Atomic, Molecular and Optical physics},
  author={Boris A. Malomed and Lluis Torner and Frank W. Wise and Dumitru Mihalache},
  journal={Journal of Physics B},
  year={2016},
  volume={49},
  pages={170502}
}
This viewpoint relates to an article by B A Malomed, D Mihalache, F Wise, and L Torner (2005 J. Opt. B: Quantum Semiclass. Opt. 7 R53–R72) and was published as part of a series of viewpoints celebrating 50 of the most influential papers published in the Journal of Physics series, which is celebrating its 50th anniversary. 
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References

SHOWING 1-10 OF 18 REFERENCES
Robust two-dimensional spatial solitons in liquid carbon disulfide.
The excitation of near-infrared (2+1)D solitons in liquid carbon disulfide is demonstrated due to the simultaneous contribution of the third- and fifth-order susceptibilities. Solitons propagating…
Solitons in nonlinear lattices
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic…
Stable Solitons in Three Dimensional Free Space without the Ground State: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling.
TLDR
This work demonstrates the existence of metastable solitons in three dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and spin-orbit coupling, which can be engineered by available experimental techniques.
Bright solitons from defocusing nonlinearities.
TLDR
It is reported that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes that give rise to a variety of stable solitons in all three dimensions.
Exciton-polariton gap solitons in two-dimensional lattices.
TLDR
The two-dimensional gap-soliton nature of exciton-polariton macroscopic coherent phases (PMCP) in a square lattice with a tunable amplitude is reported, resulting in the reduction of the PMCP coherence length and optical excitation threshold with increasing lattice amplitude.
Soliton gyroscopes in media with spatially growing repulsive nonlinearity.
TLDR
The recently introduced model of self-trapping supported by a spatially growing strength of a repulsive nonlinearity gives rise to robust vortex-soliton tori, i.e., three-dimensional vortex solitons, with topological charges S≥1, which are nearly exactly reproduced in an analytical form by the Thomas-Fermi approximation.
Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates.
TLDR
Bright matter-wave solitons form during the collapse of (85)Rb condensates in a three-dimensional (3D) magnetic trap using a Feshbach resonance to suddenly switch the atomic interactions from repulsive to attractive.
Three-dimensional light bullets in arrays of waveguides.
We report the first experimental observation of three-dimensional light bullets, excited by femtosecond pulses in a system featuring quasi-instantaneous cubic nonlinearity and a periodic,…
Observation of Discrete, Vortex Light Bullets
Falk Eilenberger, Karin Prater, Stefano Minardi, Reinhard Geiss, Ulrich Röpke, Jens Kobelke, Kay Schuster, Hartmut Bartelt, Stefan Nolte, Andreas Tünnermann, and Thomas Pertsch Institute of Applied…
Twisted toroidal vortex solitons in inhomogeneous media with repulsive nonlinearity.
TLDR
It is uncovered that stable solitons with this structure can be created, without any linear potential, in the single-component setting with the strength of repulsive nonlinearity growing fast enough from the center to the periphery, for both steep and smooth modulation profiles.
...
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