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Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of bright and dark matter-wave solitons…

Pattern Formation and Solitons · Physics 2009-11-13 A. S. Rodrigues , P. G. Kevrekidis , Mason A. Porter , D. J. Frantzeskakis , P. Schmelcher , A. R. Bishop

Being ubiquitous, solitons have particle-like properties, exhibiting behaviour often associated with atoms. Bound solitons emulate dynamics of molecules, though solitonic analogues of polymeric materials have not been considered yet. Here…

Pattern Formation and Solitons · Physics 2023-08-16 Hanqing Zhao , Boris A. Malomed , Ivan I. Smalyukh

Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-$d$ nonlinear Schr\"odinger equation numerically for solitons moving in external potentials. In particular, we study the scattering off an…

chao-dyn · Physics 2009-10-28 Helge Frauenkron , Peter Grassberger

We characterize the soliton solutions of the nonlinear Schroedinger equation on the half line with linearizable boundary conditions. Using an extension of the solution to the whole line and the corresponding symmetries of the scattering…

Exactly Solvable and Integrable Systems · Physics 2015-05-13 Gino Biondini , Guenbo Hwang

We theoretically investigate the scattering of bright solitons in a Bose-Einstein condensate on narrow attractive potential wells. Reflection, transmission and trapping of an incident soliton are predicted to occur with remarkably abrupt…

Quantum Gases · Physics 2010-03-25 T. Ernst , J. Brand

Dynamics of a matter wave soliton bouncing on the reflecting surface (atomic mirror) under the effect of gravity has been studied by analytical and numerical means. The analytical description is based on the variational approach. Resonant…

Quantum Gases · Physics 2014-09-05 A. Benseghir , W. A. T. Wan Abdullah , B. B. Baizakov , F. Kh. Abdullaev

In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than one components, namely interlaced solitons. These are waveforms in which in the relevant anti-continuum limit, i.e.…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , Q. E. Hoq , H. Susanto , P. G. Kevrekidis

We study a mixture of two light spin-1/2 fermionic atoms and two heavy atoms %in a Mott state in a double well potential. Inelastic scattering processes between both atomic species excite the heavy atoms and renormalize the tunneling rate…

Quantum Gases · Physics 2011-05-12 E. S. Annibale , O. Fialko , K. Ziegler

We experimentally investigate the dynamics of spin solitary waves (magnetic solitons) in a harmonically trapped, binary superfluid mixture. We measure the in-situ density of each pseudospin component and their relative local phase via an…

Quantum Gases · Physics 2020-07-17 A. Farolfi , D. Trypogeorgos , C. Mordini , G. Lamporesi , G. Ferrari

With the advent of quantum simulators, exploring exotic collective phenomena in lattice models with local symmetries and unconventional geometries is at reach of near-term experiments. Motivated by recent progress in this direction, we…

Strongly Correlated Electrons · Physics 2026-03-05 Enrico C. Domanti , Alejandro Bermudez

We report an optical fiber experiment in which we investigate the interaction between an individual soliton and a dense soliton gas. We evidence a refraction phenomenon where the tracer soliton experiences an effective velocity change due…

Pattern Formation and Solitons · Physics 2023-03-24 Pierre Suret , Martin Dufour , Giacomo Roberti , Gennady El , Francois Copie , Stephane Randoux

The problem of soliton-soliton force is revisited. From the exact two solitons solution of a nonautonomous Gross-Pitaevskii equation, we derive a generalized formula for the mutual force between two solitons. The force is given for…

Quantum Gases · Physics 2015-03-14 U. Al Khawaja

We study the dynamics of the matter-wave soliton interacting with a vibrating mirror created by an evanescent light and provide a quantum scattering picture for the time-domain diffraction of the matter-wave soliton. Under…

Pattern Formation and Solitons · Physics 2023-11-07 Peng Gao , Jie Liu

With the wave interferometric approach, we study how extrinsically multiple coherent waves excitation can dramatically alter the overall scattering states, resulting in tailoring the energy assignment among radiation and dissipation. To…

This study aims to investigate the interactions of solitons with an external force within the framework of the Schamel equation, both asymptotically and numerically. By utilizing asymptotic expansions, we demonstrate that the soliton…

Fluid Dynamics · Physics 2023-08-09 Marcelo V. Flamarion , Efim Pelinovsky

We investigate stability the dynamical properties of one-dimensional interwires polar soliton molecules in a biwire setup with dipole moments aligned perpendicularly to the line of motion and in opposite directions in different wires.…

Pattern Formation and Solitons · Physics 2019-08-06 Khelifa Mohammed Elhadj , Abdelaali Boudjemaa , U. Al Khawaja

The propagation of a surface plasmon-polariton along a stack of doped graphene sheets is considered. This auxiliary problem is used to discuss: (i) the scattering of such a mode at an interface between the stack and the vacuum; (ii) the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Yu. V. Bludov , N. M. R. Peres , G. Smirnov , M. I. Vasilevskiy

The Casimir energy for the classically stable configurations of the topological solitons in 2D quantum antiferromagnets is studied by performing the path-integral over quantum fluctuations. The magnon fluctuation around the solitons…

Strongly Correlated Electrons · Physics 2018-06-29 Hirohiko Shimada , Kazutaka Takahashi , Hiroaki. T. Ueda

We present a numerical study of dispersion manipulation and formation of matter-wave gap solitons in a Bose-Einstein condensate trapped in an optical superlattice. We demonstrate a method for controlled generation of matter-wave gap…

Other Condensed Matter · Physics 2009-11-10 Pearl J. Y. Louis , Elena A. Ostrovskaya , Yuri S. Kivshar

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 Pascal Degiovanni , Charles Grenier , Gwendal Fève , Carles Altimiras , Hélène Le Sueur , Frédéric Pierre