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We consider the stability and dynamics of multiple dark solitons in cigar-shaped Bose-Einstein condensates (BECs). Our study is motivated by the fact that multiple matter-wave dark solitons may naturally form in such settings as per our…

We present a method to study the dynamics of a quasi-two dimensional Bose-Einstein condensate which contains initially many vortices at arbitrary locations. We present first the analytical solution of the dynamics in a homogeneous medium…

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 study dynamics of a two-component Bose-Einstein condensate where the two components are coupled via an optical lattice. In particular, we focus on the dynamics as one drives the system through a critical point of a first order phase…

Quantum Gases · Physics 2015-05-14 Anssi Collin , Jani-Petri Martikainen , Jonas Larson

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes…

Quantum Physics · Physics 2011-04-01 T. F. Viscondi , K. Furuya

We discuss a computational mechanism for the generation of a stationary dark soliton, or black soliton, in a trapped Bose-Einstein condensate using the Gross-Pitaevskii (GP) equation for both attractive and repulsive interaction. It is…

Other Condensed Matter · Physics 2009-11-11 Sadhan K. Adhikari

We consider a trapped Bose gas of $N$ identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interaction respectively of the form $-aN^{2\alpha-1} U(N^\alpha…

Mathematical Physics · Physics 2025-03-19 Dinh-Thi Nguyen , Julien Ricaud

Ultracold gases provide an unprecedented level of control for the investigation of soliton dynamics and collisions. We present a scheme for deterministically preparing pairs of three-component solitons in a Bose-Einstein condensate. Our…

We consider effects of inter-species attraction on two-component gap solitons (GSs) in the binary BEC with intra-species repulsion, trapped in the one-dimensional optical lattice (OL). Systematic simulations of the coupled Gross-Pitaevskii…

Other Condensed Matter · Physics 2009-11-13 Michal Matuszewski , Boris A. Malomed , Marek Trippenbach

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

Symbiotic solitons (SS) and quantum droplets (QD) are self-trapped localized modes emerging in binary Bose-gas mixtures with intra-component repulsion and inter-component attraction. We have shown that two-dimensional SS can be stabilized…

Quantum Gases · Physics 2023-11-01 S. M. Al-Marzoug , B. B. Baizakov , H. Bahlouli

Capillary instability and the resulting dynamics in an immiscible two-component Bose-Einstein condensate are investigated using the mean-field and Bogoliubov analyses. A long, cylindrical condensate surrounded by the other component is…

Quantum Gases · Physics 2015-05-27 Kazuki Sasaki , Naoya Suzuki , Hiroki Saito

We numerically investigate vortex lattices in rotating two-component Bose-Einstein condensates in which the two components have unequal atomic masses and interact attractively with each other. For sufficiently strong attraction, the system…

Quantum Gases · Physics 2012-06-13 Pekko Kuopanportti , Jukka A. M. Huhtamäki , Mikko Möttönen

We study the formation of spin-1 symbiotic spinor solitons in a quasi-one- (quasi-1D) and quasi-two-dimensional (quasi-2D) hyper-fine spin $F=1$ ferromagnetic Bose-Einstein condensate (BEC). The symbiotic solitons necessarily have a…

Quantum Gases · Physics 2021-08-12 S K Adhikari

We study the collapse in a coupled Bose-Einstein condensate of two types of bosons 1 and 2 under the action of a trap using the time-dependent Gross-Pitaevskii equation. The system may undergo collapse when one, two or three of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

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

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 experimentally show that dipolar interaction can stabilize otherwise unstable many-body systems like an attractive Bose gas. In a one dimensional lattice the repulsive dipolar on-site interaction balances negative scattering lengths up…

Quantum Gases · Physics 2012-02-03 S. Müller , J. Billy , E. A. L. Henn , H. Kadau , A. Griesmaier , M. Jona-Lasinio , L. Santos , T. Pfau

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