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We demonstrate that light is subject to anomalous (i.e., negative) diffraction when propagating in the presence of hyperbolic dispersion. We show that light propagation in hyperbolic media resembles the dynamics of a quantum particle of…

We present numerical and analytical results for the reflection and transmission properties of matter wave solitons impinging on localized scattering potentials in one spatial dimension. Our mean field analysis identifies regimes where the…

Quantum Gases · Physics 2012-10-22 Sidse Damgaard Hansen , Nicolai Nygaard , Klaus Mølmer

We study the dynamics of bright and dark matter-wave solitons in the presence of a spatially varying nonlinearity. When the spatial variation does not involve zero crossings, a transformation is used to bring the problem to a standard…

Quantum Physics · Physics 2009-11-13 S. Middelkamp , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

We study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter…

Other Condensed Matter · Physics 2009-11-11 Fatkhulla Kh. Abdullaev , Josselin Garnier

We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using the corresponding Gross-Pitaevskii…

Other Condensed Matter · Physics 2009-11-11 G. Theocharis , P. Schmelcher , P. G. Kevrekidis , D. J. Frantzeskakis

We consider the motion of a matter-wave bright soliton under the influence of a cloud of thermal particles. In the ideal one-dimensional system, the scattering process of the quasiparticles with the soliton is reflectionless, however, the…

Other Condensed Matter · Physics 2007-05-23 Subhasis Sinha , Alexander Yu. Cherny , Dmitry Kovrizhin , Joachim Brand

We theoretically investigate the transmission dynamics of coherent matter wave pulses across finite optical lattices in both the linear and the nonlinear regimes. The shape and the intensity of the transmitted pulse are found to strongly…

Soft Condensed Matter · Physics 2009-11-07 Iacopo Carusotto , Davide Embriaco , Giuseppe C. La Rocca

The effect of mutual interaction between dark solitons and dispersive waves is investigated numerically and analytically. The condition of the resonant scattering of dispersive waves on dark solitons is derived and compared against the…

Optics · Physics 2016-02-19 Ivan Oreshnikov , Rodislav Driben , Alexey Yulin

A wave pulse (be it a gravitational wave or a light wave) undergoes anomalous dispersion in a vacuum in flat spacetimes with an even number of spatial dimensions even if all the frequencies move at the same speed. Such an anomalous…

General Relativity and Quantum Cosmology · Physics 2022-03-17 Emel Altas , Ercan Kilicarslan , Bayram Tekin

We study the stability, form and interaction of single and multiple dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates. The solitons are found numerically as stationary solutions in the moving frame of a non-local…

Quantum Gases · Physics 2016-06-28 M. J. Edmonds , T. Bland , D. H. J. O'Dell , N. G. Parker

In two space dimensions and one time dimension a wave changes its shape even in the absence of a dispersive medium. However, this anomalous dispersive behavior in empty two-dimensional space does not occur if the wave dynamics is described…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Carl M. Bender , Francisco J. Rodriguez , Sarben Sarkar , Anatoly V. Zayats

Searches for dispersive effects in the propagation of light at cosmological distances have been touted as sensitive probes of Lorentz invariance violation (LIV) and of theories of quantum gravity. Frequency-dependent time lags between…

High Energy Physics - Phenomenology · Physics 2013-09-18 David C. Latimer

Anomalous dispersion cannot occur in a transparent passive medium where electromagnetic radiation is being absorbed at all frequencies, as pointed out by Landau and Lifshitz. Here we show, both theoretically and experimentally, that…

Optics · Physics 2009-11-06 A. Dogariu , A. Kuzmich , L. J. Wang

Matter-wave bright solitons are predicted to reflect from a purely attractive potential well although they are macroscopic objects with classical particle-like properties. The non-classical reflection occurs at small velocities and a…

Other Condensed Matter · Physics 2007-05-23 Chaohong Lee , Joachim Brand

The strength of light emission near metallic nanostructures can scale anomalously with frequency and dimensionality. We find that light-matter interactions in plasmonic systems confined in two dimensions (e.g., near metal nanowires)…

Optics · Physics 2015-05-27 D. A. Genov , R. F. Oulton , G. Bartal , X. Zhang

The stability regimes and nonlinear dynamics of bright solitons created in a harmonic potential which is transversely attractive and longitudinally expulsive are presented. This choice of potential is motivated by the recent creation of a…

Condensed Matter · Physics 2009-11-07 L. D. Carr , Y. Castin

We report the experimental observation of multiple dispersive waves emitted in the anomalous dispersion region of an optical fiber from a train of dark solitons. Each individual dispersive wave can be associated to one particular dark…

Pattern Formation and Solitons · Physics 2016-06-29 T. Marest , C. Mas Arabi , M. Conforti , A. Mussot , C. Milian , D. V. Skryabin , A. Kudlinski

We discuss the dynamics of interacting atomic bright solitons and dark bubbles in bulk immiscible Bose-Einstein condensates. Coherent matter-wave clusters can be constructed using dark-bright pairs with appropriate phases. In two dimensions…

Pattern Formation and Solitons · Physics 2011-06-02 Chenyun Yin , Natalia G. Berloff , Víctor M. Pérez-García , V. A. Brazhnyi , H. Michinel

The existence of solitons -- stable, long-lived, and localized field configurations -- is a generic prediction for ultralight dark matter. These solitons, known by various names such as boson stars, axion stars, oscillons, and Q-balls…

High Energy Physics - Phenomenology · Physics 2025-10-09 Hong-Yi Zhang

We investigate bright matter-wave solitons in the presence of a spatially varying nonlinearity. It is demonstrated that a translation mode is excited due to the spatial inhomogeneity and its frequency is derived analytically and also…

Other Condensed Matter · Physics 2009-11-13 P. Niarchou , G. Theocharis , P. G. Kevrekidis , P. Schmelcher , D. J. Frantzeskakis
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