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We study the dynamics of bright solitons in a Bose-Einstein condensate (BEC) confined in a highly asymmetric trap. While working within the f ramework of a variational approach we carry out the stability analysis o f BEC solitons against…

Exactly Solvable and Integrable Systems · Physics 2007-06-13 Sk. Golam Ali , B. Talukdar , S. K. Roy

We investigate magnetic solitons in an immiscible binary Bose-Einstein condensate (BEC), where the intraspecies interactions are slightly weaker than the interspecies interactions. While their density and phase profiles are analogous to…

Quantum Gases · Physics 2020-11-24 Xiao Chai , Li You , Chandra Raman

The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and…

Quantum Gases · Physics 2018-12-18 Ofir E. Alon , Lorenz S. Cederbaum

In this paper, we investigate the impact of higher-order interactions on the modulational instability (MI) of Bose-Einstein Condensates (BECs) immersed in an optical lattice potential. We derive the new variational equations for the time…

Quantum Gases · Physics 2022-09-23 S. Sabari , OT. Lekeufack , SB. Yamgoue , R. Tamilthiruvalluvar , R. Radha

We study the Bose-Einstein condensates (BEC) in two or three dimensions with attractive interactions, described by $L^{2}$ constraint Gross-Pitaevskii energy functional. First, we give the precise description of the chemical potential of…

Analysis of PDEs · Mathematics 2019-09-20 Peng Luo , Shuangjie Peng , Shusen Yan

We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive interactions, placed in a time-dependent expulsive parabolic…

Quantum Gases · Physics 2015-09-02 R. Radha , P. S. Vinayagam , J. B. Sudharsan , Wu-Ming Liu , Boris A. Malomed

We variationally determine the dynamics of bright soliton trains composed of harmonically trapped Bose-Einstein condensates with attractive interatomic interactions. In particular, we obtain the interaction potential between two solitons.…

Condensed Matter · Physics 2007-05-23 U. Al Khawaja , H. T. C. Stoof , R. G. Hulet , K. E. Strecker , G. B. Partridge

We show that bright solitons exist in quasi-one dimensional heteronuclear multicomponent Bose-Einstein condensates with repulsive self-interaction and attractive inter-species interaction. They are remarkably robust to perturbations of…

Other Condensed Matter · Physics 2009-11-11 Victor M. Perez-Garcia , Juan Belmonte

We study the dynamics of one-dimensional solitons in the attractive and repulsive Bose-Einstein condensates (BECs) loaded into an optical lattice (OL), which is combined with an external parabolic potential. First, we demonstrate…

Pattern Formation and Solitons · Physics 2009-11-10 H. Sakaguchi , B. A. Malomed

We demonstrate a dramatic change in the interaction forces between dark solitons in nonlocal nonlinear media. We present what we believe is the first experimental evidence of attraction of dark solitons. Our results indicate that attraction…

The point of instability of a Bose-Einstein Condensate (BEC) due to attractive interactions was studied. Stable 85-Rb BECs were created and then caused to collapse by slowly changing the atom-atom interaction from repulsive to attractive…

Statistical Mechanics · Physics 2009-11-07 J. L. Roberts , N. R. Claussen , S. L. Cornish , E. A. Donley , E. A. Cornell , C. E. Wieman

We study matter-wave bright solitons in spin-orbit (SO) coupled Bose-Einstein condensates (BECs) with attractive interatomic interactions. We use a multiscale expansion method to identify solution families for chemical potentials in the…

Quantum Gases · Physics 2013-08-09 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , D. E. Pelinovsky

Generation, interaction and detection of dark solitons in Bose-Einstein condensates is considered. In particular, we focus on the dynamics resulting from phase imprinting and density engineering. The generation of soliton pairs as well as…

Soft Condensed Matter · Physics 2009-11-07 S. Burger , L. D. Carr , P. Ohberg , K. Sengstock , A. Sanpera

We demonstrate robust, stable, mobile excited states of quasi-two-dimensional (quasi-2D) dipolar Bose-Einstein condensate (BEC) solitons for repulsive contact interaction with a harmonic trap along the $x$ direction perpendicular to the…

Quantum Gases · Physics 2015-06-22 S. K. Adhikari

By numerical and variational analysis of the three-dimensional Gross-Pitaevskii equation we study the formation and dynamics of bright and vortex-bright solitons in a cigar-shaped dipolar Bose-Einstein condensate for large repulsive atomic…

Quantum Gases · Physics 2015-05-27 Luis E. Young-S. , P. Muruganandam , S. K. Adhikari

It is shown that the quasi-one-dimensional Bose-Einstein condensate is experimentally accessible and rich in intriguing phenomena. We demonstrate numerically and analytically the existence, stability, and perturbation-induced dynamics of…

Condensed Matter · Physics 2009-10-31 Lincoln D. Carr , Mary Ann Leung , William P. Reinhardt

We analyze the physics of bright solitons in two-dimensional dipolar Bose-Einstein condensates. These solitons are not possible in short-range interacting gases. In particular, we discuss the necessary conditions for the existence of stable…

Other Condensed Matter · Physics 2009-11-11 P. Pedri , L. Santos

We introduce an effectively one-dimensional (1D) model of a bosonic gas of particles carrying collinear dipole moments which are induced by an external polarizing field with the strength periodically modulated along the coordinate, which…

Quantum Gases · Physics 2015-06-18 F. Kh. Abdullaev , A. Gammal , B. A. Malomed , L. Tomio

Using a three-dimensional mean-field model we study one-dimensional dipolar Bose-Einstein condensate (BEC) solitons on a weak two-dimensional (2D) square and triangular optical lattice (OL) potentials placed perpendicular to the…

Quantum Gases · Physics 2012-06-14 S. K. Adhikari , P. Muruganandam

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