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In weakly nonlinear dispersive systems, solitons are spatially localized solutions which propagate without changing shape through a delicate balance between dispersion and self-focusing nonlinear effects. These states have been extensively…

We analyze the scattering of bright solitons in dipolar Bose-Einstein condensates placed in unconnected layers. Whereas for short-range interactions unconnected layers are independent, a remarkable consequence of the dipole interaction is…

Other Condensed Matter · Physics 2013-05-29 R. Nath , P. Pedri , L. Santos

We propose an experimentally relevant protocol for the controlled generation of matter-wave dark solitons in atomic Bose-Einstein condensates (BECs). In particular, using direct numerical simulations, we show that by switching-on a…

Quantum Gases · Physics 2015-05-19 C. Wang , P. G. Kevrekidis , T. P. Horikis , D. J. Frantzeskakis

We present a theoretical analysis of three-dimensional (3D) matter-wave solitons and their stability properties in coupled atomic and molecular Bose-Einstein condensates (BEC). The soliton solutions to the mean-field equations are obtained…

Other Condensed Matter · Physics 2009-11-10 T. G. Vaughan , K. V. Kheruntsyan , P. D. Drummond

We use a multiple time scale boundary layer theory to derive the equation of motion for a dark (or `grey') soliton propagating through an effectively one-dimensional cloud of Bose-Einstein condensate, assuming only that the background…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

We report the production of matter-wave solitons in an ultracold lithium 7 gas. The effective interaction between atoms in a Bose-Einstein condensate is tuned with a Feshbach resonance from repulsive to attractive before release in a…

Condensed Matter · Physics 2009-11-07 L. Khaykovich , F. Schreck , G. Ferrari , T. Bourdel , J. Cubizolles , L. D. Carr , Y. Castin , C. Salomon

In this letter we introduce the concept of stabilized vector solitons as nonlinear waves constructed by addition of mutually incoherent Townes solitons that are stabilized under the effect of a periodic modulation of the nonlinearity. We…

Pattern Formation and Solitons · Physics 2009-11-10 Gaspar D. Montesinos , Victor M. Perez-Garcia , Humberto Michinel

The creation and interaction of dark solitons in a two-component Bose-Einstein condensate is investigated. For a miscible case, the interaction of dark solitons in different components is studied. Various possible scenarios are presented,…

Soft Condensed Matter · Physics 2013-05-29 P. Ohberg , L. Santos

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their…

Pattern Formation and Solitons · Physics 2025-07-29 Ramesh Kumar Vaduganathan , Rajadurai Vijayan , Boris A. Malomed

We show that bright solitons exist in quasi-one dimensional heteronuclear multicomponent Bose-Einstein condensates with repulsive self-interaction and attractive inter-species interaction. They are remarkably robust to perturbations of…

Other Condensed Matter · Physics 2009-11-11 Victor M. Perez-Garcia , Juan Belmonte

Thanks to their immense purity and controllability, dipolar Bose-Einstein condensates are an exemplar for studying fundamental non-local nonlinear physics. Here we show that a family of fundamental nonlinear waves - the dark solitons - are…

Quantum Gases · Physics 2017-07-05 T. Bland , K. Pawlowski , M. J. Edmonds , K. Rzazewski , N. G. Parker

Solitons in general are configurations of extended fields which move like isolated particles. Vector bright solitons can occur in a two-component self-attractive Bose-Einstein condensate. If the components of the condensate have different…

Pattern Formation and Solitons · Physics 2021-11-03 Timo Eichmann , James R. Anglin

We demonstrate that a Bose-Einstein condensate in an optical lattice forms a reconfigurable matter-wave structure with a band-gap spectrum, which resembles a nonlinear photonic crystal for light waves. We study in detail the case of a…

Condensed Matter · Physics 2009-11-10 Elena A. Ostrovskaya , Yuri S. Kivshar

We show how to generate robust self-sustained clusters of soliton bullets-spatiotemporal (optical or matter-wave) solitons. The clusters carry an orbital angular momentum being supported by competing nonlinearities. The "atoms" forming the…

We propose the use of bright matter-wave solitons formed from Bose-Einstein condensates with attractive interactions to probe and study quantum reflection from a solid surface at normal incidence. We demonstrate that the presence of…

Quantum Physics · Physics 2010-10-29 S. L. Cornish , N. G. Parker , A. M. Martin , T. E. Judd , R. G. Scott , T. M. Fromhold , C. S. Adams

We study the interaction of dark-bright solitons in two component Bose-Einstein condensates by suitably tailoring the trap potential, atomic scattering length and atom gain or loss. We show that the coupled Gross-Pitaevskii (GP) equation…

Other Condensed Matter · Physics 2009-06-25 S. Rajendran , P. Muruganandam , M. Lakshmanan

We show how novel types of long-lived self-localized matter waves can be constructed with Bose-Einstein condensates. The ingredients leading to such structures are a spatial phase generating a flux of atoms towards the condensate center and…

Pattern Formation and Solitons · Physics 2009-11-11 Adrian Alexandrescu , Victor M. Perez-Garcia

Two-dimensional (2D) fundamental soliton-soliton pairs are investigated in binary mixtures of Bose-Einstein condensates with attractive interactions between atoms of the same type. Both attractive and repulsive interactions between atoms of…

Pattern Formation and Solitons · Physics 2012-03-16 A. I. Yakimenko , K. O. Shchebetovska , S. I. Vilchinskii , M. Weyrauch

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…