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We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an optical lattice (OL) and/or a parabolic…

Soft Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , D. J. Frantzeskakis , Boris A. Malomed , A. R. Bishop , I. G. Kevrekidis

We demonstrate the existence of one and two-dimensional bright solitons in the Bose-Einstein condensate with repulsive dipole-dipole interactions induced by a combination of dc and ac polarizing fields, oriented perpendicular to the plane…

Pattern Formation and Solitons · Physics 2015-06-17 Yongyao Li , Jingfeng Liu , Wei Pang , Boris A. Malomed

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

This paper suggests a method for an experiment to create dark soliton-like waves in a trapped atomic Bose-Einstein condensate (BEC). With the phase imprinting method, a soliton-like disturbance is produced along the x-axis. The method is…

Other Condensed Matter · Physics 2009-08-09 Eniko J. M. Madarassy

We study the dynamics of Bose-Einstein condensates in tilted and driven optical superlattices. For a bichromatic lattice, each Bloch band split up into two minibands such that the dynamics is governed by the interplay of Bloch oscillations…

Quantum Gases · Physics 2011-04-20 D. Witthaut , F. Trimborn , V. Kegel , H. J. Korsch

We present the experimental discovery of compound structures comprising solitons and vortex rings in Bose-Einstein condensates (BECs). We examine both their creation via soliton-vortex collisions and their subsequent development, which is…

Other Condensed Matter · Physics 2009-11-10 Naomi S. Ginsberg , Joachim Brand , Lene Vestergaard Hau

Adopting a mean-field Gross-Pitaevskii description for a spinor polariton Bose-Einstein condensates under non-resonant pumping, we investigate the static and dynamical properties of dark-bright solitons. We derive analytically the equation…

Quantum Gases · Physics 2019-05-22 Xingran Xu , Lei Chen , Zhidong Zhang , Zhaoxin Liang

We investigate the two-dimensional modified Gross-Pitaevskii equation, accounting for the effects of atom gain/loss and a time-independent isotropic confining potential, utilizing the Hirota's bilinear method. Through an appropriate…

Quantum Gases · Physics 2025-04-29 C. E. Nkenfack , O. T. Lekeufack , S. Sabari , R. Yamapi , T. C. Kofane

We demonstrate robust, stable, mobile, quasi-one-dimensional, dark-in-bright dipolar Bose-Einstein condensate (BEC) soliton with a notch in the central plane formed due to dipolar interaction for repulsive contact interaction. At medium…

Quantum Gases · Physics 2015-06-19 S K Adhikari

The existence and dynamics of solitons in quasi-one-dimensional Bose-Einstein condensates (BEC) with spin-orbit coupling (SOC) and attractive two-body interactions are described for two coupled atomic pseudo-spin components with slowly and…

Quantum Gases · Physics 2018-05-29 Fatkhulla Kh. Abdullaev , Marijana Brtka , Arnaldo Gammal , Lauro Tomio

Following our previous work [J. Ieda, T. Miyakawa, M. Wadati, cond-mat/0404569] on a novel integrable model describing soliton dynamics of an F=1 spinor Bose--Einstein condensate, we discuss in detail the properties of the multi-component…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jun'ichi Ieda , Takahiko Miyakawa , Miki Wadati

We investigate the modulational instability of nonlinear Schr{\"o}dinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently proposed, experimentally realizable protocol of Feshbach…

Soft Condensed Matter · Physics 2009-11-10 Z. Rapti , G. Theocharis , P. G. Kevrekidis , D. J. Frantzeskakis

We consider the dynamics of dark matter solitons moving through non-uniform cigar-shaped Bose-Einstein condensates described by the mean field Gross-Pitaevskii equation with generalized nonlinearities, in the case when the condition for the…

Quantum Gases · Physics 2015-05-13 A. M. Kamchatnov , M. Salerno

We have studied the tunability of the interaction between permanent dipoles in Bose-Einstein condensates. Based on time-dependent control of the anisotropy of the dipolar interaction, we show that even the very weak magnetic dipole coupling…

Condensed Matter · Physics 2009-11-07 Stefano Giovanazzi , Axel Gorlitz , Tilman Pfau

Instabilities of vortex-ring-bright coherent structures in harmonically trapped two-component three-dimensional Bose-Einstein condensates are studied numerically within the coupled Gross-Pitaevskii equations and interpreted analytically.…

Quantum Gases · Physics 2022-02-09 Victor P. Ruban , Wenlong Wang , Christopher Ticknor , Panayotis G. Kevrekidis

We present two families of analytical solutions of the one-dimensional nonlinear Schr\"{o}dinger equation which describe the dynamics of bright and dark solitons in Bose-Einstein condensates (BECs) with the time-dependent interatomic…

Other Condensed Matter · Physics 2009-11-13 Biao Li , Xiao-Fei Zhang , Yu-Qi Li , Yong Chen , W. M. Liu

We study a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate with repulsive contact interactions by both the variational method and the imaginary time evolution of the Gross-Pitaevskii equation. The dipoles are completely…

Quantum Gases · Physics 2015-07-30 Yong Xu , Yongping Zhang , Chuanwei Zhang

We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. A modified Landau-Lifshitz equation is derived and exact magnetic…

Other Condensed Matter · Physics 2009-11-11 Z. D. Li , P. B. He , L. Li , J. Q. Liang , W. M. Liu

We discuss the response of a Bose-Einstein condensate to a change in the scattering length, which is experimentally realized by tuning the magnetic field near a Feshbach resonance. In particular, we consider the collapse of the condensate…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , H. T. C. Stoof

In the present work, we investigate how single- and multi-vortex-ring states can emerge from a planar dark soliton in three-dimensional (3D) Bose-Einstein condensates (confined in isotropic or anisotropic traps) through bifurcations. We…

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