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We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped 1D Bose gas. First, the form of the ground state is…

Pattern Formation and Solitons · Physics 2022-03-02 M. Beau , A. del Campo , D. J. Frantzeskakis , T. P. Horikis , P. G. Kevrekidis

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

Longitudinal confinement of dark solitons in quasi-one-dimensional Bose-Einstein condensates leads to sound emission and reabsorption. We perform quantitative studies of the dynamics of a soliton oscillating in a tight dimple trap, embedded…

Condensed Matter · Physics 2009-11-07 N. G. Parker , N. P. Proukakis , M. Leadbeater , C. S. Adams

We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that, even in the absence of any external trapping potential, a soliton can be confined due to the inhomogeneous…

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

We report on the generation, subsequent oscillation and interaction of a pair of matter wave dark solitons. These are created by releasing a Bose-Einstein condensate from a double well potential into a harmonic trap in the crossover regime…

A dark soliton oscillating in an elongated harmonically-confined atomic Bose-Einstein condensate continuously exchanges energy with the sound field. Periodic optical `paddles' are employed to controllably enhance the sound density and…

Other Condensed Matter · Physics 2009-11-10 N. P. Proukakis , N. G. Parker , C. F. Barenghi , C. S. Adams

In this paper, we study the formation of solitons, their propagation and collision behaviour in an integrable multicomponent (2+1)-dimensional long wave-short wave resonance interaction ($M$-LSRI) system. First, we briefly revisit our…

Pattern Formation and Solitons · Physics 2015-12-04 T Kanna , K Sakkaravarthi , M Vijayajayanthi , M Lakshmanan

We study the influence of long-range interatomic interactions on the properties of supersonic pulse solitons in anharmonic chains. We show that in the case of ultra-long-range (e.g., screened Coulomb) interactions three different types of…

patt-sol · Physics 2009-10-31 Serge F. Mingaleev , Yuri B. Gaididei , Franz G. Mertens

Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical case examples of…

Pattern Formation and Solitons · Physics 2017-08-23 F. Tsitoura , Z. A. Anastassi , J. L. Marzuola , P. G. Kevrekidis , D. J. Frantzeskakis

The long-range interactions of two atoms, of an atom and a dielectric wall, of an atom and a perfectly conducting wall, and of an atom between two perfectly conducting walls are calculated, including the effects of retardation, for Li using…

Atomic Physics · Physics 2008-02-03 Zong-Chao Yan , A. Dalgarno , J. F. Babb

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

Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. We report hydrodynamic experiments in which we investigate the interaction between two "beams" or "jets" of…

We numerically generate, and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one dimensional trap. These excitations, although very similar to dark solitons in a gas with contact…

Quantum Gases · Physics 2015-11-16 Krzysztof Pawlowski , Kazimierz Rzazewski

Atomic mass and interatomic interaction are the two key quantities that significantly affect the heat conduction carried by phonons. Here, we study the effects of long-range (LR) interatomic interaction and mass-disorder on the phonon…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Hangbo Zhou , Gang Zhang , Jian-Sheng Wang , Yong-Wei Zhang

Interaction of a solitary wave with a long background wave is studied within the framework of rotation modified Benjamin-Ono equation describing internal waves in a deep fluid. With the help of asymptotic method, we find stationary and…

Pattern Formation and Solitons · Physics 2019-11-11 R. H. J. Grimshaw , N. F. Smyth , Y. A. Stepanyants

We study the family of static and moving dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates, exploring their modified form and interactions. The density dip of the soliton acts as a giant anti-dipole which adds a…

Quantum Gases · Physics 2015-12-02 T. Bland , M. J. Edmonds , N. P. Proukakis , A. M. Martin , D. H. J. O'Dell , N. G. Parker

We consider a massive complex scalar field with contact interactions with a source and show that, upon Bose-Einstein condensation, there is an emergent long-range interaction between sources. This interaction becomes long-range in the limit…

High Energy Physics - Theory · Physics 2019-04-10 Lasha Berezhiani , Justin Khoury

We study the 1D dynamics of dark-dark solitons in the miscible regime of two density-coupled Bose-Einstein condensates having repulsive interparticle interactions within each condensate ($g>0$). By using an adiabatic perturbation theory in…

Quantum Gases · Physics 2018-04-25 I. Morera , A. Muñoz Mateo , A. Polls , B. Juliá-Díaz

Solitons are universal nonlinear excitations that appear in settings as varied as optics, water waves, and quantum gases [1-5]. While reduced models of soliton dynamics are well established, their validity and dynamical behaviour in…

We consider the collision of a dark soliton with an obstacle in a quasi-one-dimensional Bose condensate. We show that in many respects the soliton behaves as an effective classical particle of mass twice the mass of a bare particle,…

Statistical Mechanics · Physics 2009-11-11 Nicolas Bilas , Nicolas Pavloff
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