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Interactions of solitary waves in a cylindrically confined Bose-Einstein condensate are investigated by simulating their head-on collisions. Slow vortex rings and fast solitons are found to collide elastically contrary to the situation in…

Other Condensed Matter · Physics 2009-11-11 Stavros Komineas , Joachim Brand

We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in one of the components. In particular, we…

Pattern Formation and Solitons · Physics 2015-05-18 K. J. H. Law , P. G. Kevrekidis , Laurette S. Tuckerman

We study solitons in the condensate trapped in a double-well potential with far-separated wells, when the s-wave scattering length has different signs in the two parts of the condensate. By employing the coupled-mode approximation it is…

Soft Condensed Matter · Physics 2009-11-10 Valery S. Shchesnovich , Solange B. Cavalcanti , Roberto A. Kraenkel

We discuss the possible observation of a new type of standing nonlinear atomic matter wave in the condensate: the nonlinear impurity mode. It is investigated dynamical effects of a bright soliton in Bose-Einstein-condensed (BEC) systems…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , A. Gammal , L. Tomio

We discuss pair interatomic collisions in a Bose gas tightly confined in one (axial) direction and identify two regimes of scattering. In the quasi2D regime, where the confinement frequency $\omega_0$ greatly exceeds the gas temperature…

Statistical Mechanics · Physics 2009-10-31 D. S. Petrov , G. V. Shlyapnikov

We consider the formation of bright solitons in a mixture of Bose and Fermi degenerate gases confined in a three-dimensional elongated harmonic trap. The Bose and Fermi atoms are assumed to effectively attract each other whereas bosonic…

Other Condensed Matter · Physics 2007-05-23 Tomasz Karpiuk , Miroslaw Brewczyk , Kazimierz Rzazewski

We present theoretical as well as experimental results on resonantly enhanced quantum tunneling of Bose-Einstein condensates in optical lattices both in the linear case of single particle dynamics and in the presence of atom-atom…

Quantum Gases · Physics 2011-04-14 Ennio Arimondo , Sandro Wimberger

We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary…

Other Condensed Matter · Physics 2009-11-11 N. Bilas , N. Pavloff

Experiments on attractive Bose-Einstein condensates (BECs) have unlocked many intriguing out-of-equilibrium dynamics through the interplay between matter-wave dispersion and nonlinear attractive interaction. Competition between these…

Quantum Gases · Physics 2026-04-16 Hikaru Tamura , Chen-Lung Hung

Bright solitons in atomic Bose--Einstein condensates are strong candidates for high precision matter-wave interferometry, as their inherent stability against dispersion supports long interrogation times. An analog to a beam splitter is then…

Quantum Gases · Physics 2022-08-31 Callum L. Grimshaw , Thomas P. Billam , Simon A. Gardiner

We present an action that can be used to study variationally the collapse of Bose Einstein condensates. This action is real, even though it includes dissipative terms. It adopts long range interactions between the atoms, so that there is…

Quantum Gases · Physics 2020-11-11 Stavros Theodorakis , Stavros Athanasiou

We study solitary waves of polarization (magnetic solitons) in a two-component Bose gas with slightly unequal repulsive intra- and interspin interactions. In experimentally relevant conditions we obtain an analytical solution which reveals…

Quantum Gases · Physics 2016-04-21 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

We study formation of rotating three-dimensional high-order solitons (azimuthons) in Bose Einstein condensate with attractive nonlocal nonlinear interaction. In particular, we demonstrate formation of toroidal rotating solitons and…

Quantum Gases · Physics 2011-07-11 F. Maucher , S. Skupin , M. Sheng , W. Krolikowski

A number of recent experiments with nearly pure atomic Bose-Einstein condensates have confirmed the predicted dark soliton oscillations when under harmonic trapping. However, a dark soliton propagating in an inhomogeneous condensate has…

Quantum Gases · Physics 2010-03-16 N. G. Parker , N. P. Proukakis , C. S. Adams

We investigate the dynamics of a dark-bright soliton in a harmonic potential using a mean-field approach via coupled nonlinear Schr\"odinger equations appropriate to multicomponent Bose-Einstein condensates. We use a modified perturbed…

Quantum Gases · Physics 2018-10-09 Majed O. D. Alotaibi , Lincoln D. Carr

We experimentally investigate the atom-optical delta-kicked harmonic oscillator for the case of nonlinearity due to collisional interactions present in a Bose-Einstein condensate. A Bose condensate of rubidium atoms tightly confined in a…

Soft Condensed Matter · Physics 2009-11-10 G. J. Duffy , A. S. Mellish , K. J. Challis , A. C. Wilson

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 study the properties of a Bose-Einstein condensed cloud of atoms with negative scattering length confined in a harmonic trap. When a realistic non local (finite range) effective interaction is taken into account, we find that, besides…

Condensed Matter · Physics 2007-05-23 L. Reatto , A. Parola , L. Salasnich

We consider a trapped Bose gas of $N$ identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interaction respectively of the form $-aN^{2\alpha-1} U(N^\alpha…

Mathematical Physics · Physics 2025-03-19 Dinh-Thi Nguyen , Julien Ricaud

We review a number of topics germane to higher-dimensional solitons in Bose-Einstein condensates. For dark solitons, we discuss dark band and planar solitons; ring dark solitons and spherical shell solitons; solitary waves in restricted…

Other Condensed Matter · Physics 2010-06-01 L. D. Carr , Joachim Brand