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We investigate bright and dark solitons with anomalous or normal dispersion and under transverse harmonic confinement. In matter waves, positive atomic mass implies anomalous dispersion (kinetic spreading) while negative mass gives normal…

Other Condensed Matter · Physics 2009-11-11 L. Salasnich , A. Parola , L. Reatto

We study the dynamics of two gray solitons in a Bose-Einstein condensate confined by a toroidal trap with a tight confinement in the radial direction. Gross-Pitaevskii simulations show that solitons can be long living objects passing…

Quantum Gases · Physics 2016-02-03 D. M. Jezek , P. Capuzzi , H. M. Cataldo

The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations…

Pattern Formation and Solitons · Physics 2009-11-07 P. K. Shukla , R. Fedele , M. Onorato , N. L. Tsintsadze

We model the dynamics of formation of multiple, long-lived, bright solitary waves in the collapse of Bose-Einstein condensates with attractive interactions as studied in the experiment of Cornish et al. [Phys. Rev. Lett. 96 (2006) 170401].…

Other Condensed Matter · Physics 2015-05-13 B. J. Dabrowska-Wuester , S. Wuester , M. J. Davis

We present a method to detect the presence and depth of dark solitons within repulsive one-dimensional harmonically trapped Bose-Einstein condensates. For a system with one soliton, we prove that the shift of the density in Fourier space…

Quantum Gases · Physics 2020-10-20 H. A. J. Middleton-Spencer , N. G. Parker , L. Galantucci , C. F. Barenghi

We systematically construct stationary soliton states in a one-component, two-dimensional, repulsive, Gross-Pitaevskii equation with a ring-shaped target-like trap similar to the potential used to confine a Bose-Einstein condensate in a…

Quantum Gases · Physics 2019-06-05 M. Haberichter , P. G. Kevrekidis , R. Carretero-Gonzalez , M. Edwards

Adopting a mean-field description for a two-component atomic Bose-Einstein condensate, we study the stat- ics and dynamics of dark-bright solitons in the presence of localized impurities. We use adiabatic perturbation theory to derive an…

Quantum Gases · Physics 2015-06-03 V. Achilleos , P. G. Kevrekidis , V. M. Rothos , D. J. Frantzeskakis

We investigate the effect of inter-atomic interactions on the quantum-mechanical reflection of Bose-Einstein condensates from regions of rapid potential variation. The reflection process depends critically on the density and incident…

Other Condensed Matter · Physics 2009-11-10 R. G. Scott , A. M. Martin , T. M. Fromhold , F. W. Sheard

We show that the energetic instability of dark solitons is associated with particle-like motion, and present a simple equation of motion, based on the M\"ossbauer effect, for dark solitons propagating in inhomogeneous Thomas-Fermi clouds.…

Condensed Matter · Physics 2007-05-23 Th. Busch , J. R. Anglin

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor…

When a turbulent Bose-Einstein condensate is driven out-of-equilibrium at a scale much smaller than the system size, nonlinear wave interactions transfer particles towards large scales in an inverse cascade process. In this work, we study…

Quantum Gases · Physics 2026-04-14 Ying Zhu , Giorgio Krstulovic , Sergey Nazarenko

We discuss temporal dark solitons in confined nonuniform Bose condensates. As a kind of localized high excitation, these solitons can be viewed as macroscopic quasiparticles, having relative motion to the background condensate. We get an…

Superconductivity · Physics 2007-05-23 Tao Hong , Yu Zhu Wang , Yun Sheng Huo

Generation of wave structures by a two-dimensional object (laser beam) moving in a two-dimensional two-component Bose-Einstein condensate with a velocity greater than both sound velocities of the mixture is studied by means of analytical…

Other Condensed Matter · Physics 2009-11-13 Yu. G. Gladush , A. M. Kamchatnov , Z. Shi , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

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 investigate formation of Bose-Einstein condensates under non-equilibrium conditions using numerical simulations of the three-dimensional Gross-Pitaevskii equation. For this, we set initial random weakly nonlinear excitations and the…

Quantum Gases · Physics 2022-03-23 Vishwanath Shukla , Sergey Nazarenko

We have used an extension of our slow light technique to provide a method for inducing small density defects in a Bose-Einstein condensate. These sub-resolution, micron-sized defects evolve into large amplitude sound waves. We present an…

Soft Condensed Matter · Physics 2009-11-07 Zachary Dutton , Michael Budde , Christopher Slowe , Lene Vestergaard Hau

Waves with different symmetries exist in two-component Bose-Einstein condensates (BECs) whose dynamics is described by a system of coupled Gross-Pitaevskii (GP) equations. A first type of waves corresponds to excitations for which the…

Quantum Gases · Physics 2016-12-22 A. M. Kamchatnov , Y. V. Kartashov , P. -É. Larré , N. Pavloff

We present the simulation results of merging harmonically confined rotating Bose-Einstein condensates in two dimensions. Merging of the condensate is triggered by positioning the rotation axis at the trap minima and moving both condensates…

We study the dynamics of bright solitons formed in a Bose-Einstein condensate with attractive atomic interactions perturbed by a weak bichromatic optical lattice potential. The lattice depth is a biperiodic function of time with a zero…

Other Condensed Matter · Physics 2009-11-13 Dario Poletti , Tristram J. Alexander , Elena A. Ostrovskaya , Baowen Li , Yuri S. Kivshar

The beyond mean-field dynamics of a bent dark soliton embedded in a two-dimensional repulsively interacting Bose-Einstein condensate is explored. We examine the case of a single bent dark soliton comparing the mean-field dynamics to a…