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Related papers: Formation of matter-wave soliton molecules

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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

Static and dynamic properties of matter-wave solitons in dense Bose-Einstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For…

Quantum Gases · Physics 2014-06-10 B. B. Baizakov , A. Bouketir , A. Messikh , A. Benseghir , B. A. Umarov

We examine a collection of particles interacting with inverse-square two-body potentials in the thermodynamic limit. We find explicit large-amplitude density waves and soliton solutions for the motion of the system. Waves can be constructed…

High Energy Physics - Theory · Physics 2009-10-28 Alexios P. Polychronakos

A Lagrangian based method is used to derive an analytical model for studying the dynamics of matter-wave bright soliton created in a harmonic potential which is attractive in the transverse direction and expulsive in the longitudinal…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Sk. Golam Ali , B. Talukdar

Electromagnetic soliton-particle with both quasi-static and quick-oscillating wave parts is considered. Its mass, spin, charge, and magnetic moment appear naturally when the interaction with distant solitons is considered. The…

General Physics · Physics 2013-12-20 Alexander A. Chernitskii

Solitons are localised wave disturbances that propagate without changing shape, a result of a nonlinear interaction which compensates for wave packet dispersion. Individual solitons may collide, but a defining feature is that they pass…

Quantum Gases · Physics 2014-12-10 Jason H. V. Nguyen , Paul Dyke , De Luo , Boris A. Malomed , Randall G. Hulet

Bound states, also called soliton molecules, can form as a result of the interaction between individual solitons. This interaction is mediated through the tails of each soliton that overlap with one another. When such soliton tails have…

Pattern Formation and Solitons · Physics 2017-09-13 P. Parra-Rivas , D. Gomila , P. Colet , L. Gelens

We consider the interaction of two-component bright-bright solitons with a narrow potential barrier (splitter) in the framework of a system of two Gross-Pitaevskii (nonlinear-Schr\"{o}dinger) equations modeling a binary Bose-Einstein…

Pattern Formation and Solitons · Physics 2020-05-06 Callum L. Grimshaw , Simon A. Gardiner , Boris A. Malomed

The dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual…

We derive the equations governing the motion of Kerr solitons in pair waveforms. Recent experiments in microresonators have studied a variety of interaction effects in multisoliton waveforms, including collisions and formation of soliton…

Pattern Formation and Solitons · Physics 2025-07-11 Amir Leshem , Sanzida Akter , Logan Courtright , Pradyoth Shandilya , Curtis R. Menyuk , Omri Gat

Systems of solitary-waves in the 1D Gross-Pitaevskii equation, which models a trapped atomic Bose-Einstein condensate, are investigated theoretically. To analyse the soliton-like nature of these solitary-waves, a particle analogy for the…

Other Condensed Matter · Physics 2008-11-17 A. D. Martin , C. S. Adams , S. A. Gardiner

We construct families of ordinary and gap solitons (GSs), including solitary vortices, in the two-dimensional (2D) system based on the nonlinear-Schr\"Aodinger/Gross-Pitaevskii equation with the 2D or quasi-1D (Q1D) periodic linear…

Optics · Physics 2015-06-03 Jianhua Zeng , Boris A. Malomed

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 have shown that the wave scattering by a soliton occurs in a peculiar way. The nonlinear interaction leads to the generation of waves with frequencies that are multiples of the frequency of the incident wave, minus the frequency of the…

Pattern Formation and Solitons · Physics 2023-12-12 A. S. Dmitriev , E. A. Dmitrieva , A. G. Panin

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 demonstrate a stable, mobile, dipolar or nondipolar three-dimensional matter-wave soliton in the vortex core of a uniform nondipolar condensate. All intra- and inter-species contact interactions can be repulsive for a strongly dipolar…

Quantum Gases · Physics 2016-01-28 S. K. Adhikari

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 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 report the experimental observation of discrete bright matter-wave solitons with attractive interaction in an optical lattice. Using an accordion lattice with adjustable spacing, we prepare a Bose-Einstein condensate of cesium atoms…

Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior…

Quantum Gases · Physics 2019-05-22 B. B. Baizakov , S. M. Al-Marzoug , U. Al Khawaja , H. Bahlouli