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Two-dimensional (2D) fundamental soliton-soliton pairs are investigated in binary mixtures of Bose-Einstein condensates with attractive interactions between atoms of the same type. Both attractive and repulsive interactions between atoms of…

Pattern Formation and Solitons · Physics 2012-03-16 A. I. Yakimenko , K. O. Shchebetovska , S. I. Vilchinskii , M. Weyrauch

Stability and dynamical behavior of binary Bose-Einstein condensed mixtures trapped on the surface of a rigid spherical shell are investigated in the mean-field level, exploring the miscibility with and without vortex charges, considering…

Quantum Gases · Physics 2021-09-29 Alex Andriati , Leonardo Brito , Lauro Tomio , Arnaldo Gammal

We study the stationary and dynamical properties of three-dimensional trapped Bose-Einstein condensates with attractive interactions subjected to a random potential. To this end, a variational method is applied to solve the underlying…

Quantum Gases · Physics 2024-11-27 Madjda Kamel , Abdelaali Boudjemaa

An analytical insight into the symmetry breaking mechanisms underlying the transition from Josephson to self-trapping regimes in Bose-Einstein condensates is presented. We obtain expressions for the ground state properties of the system of…

Quantum Gases · Physics 2010-06-21 B. Julia-Diaz , J. Martorell , A. Polls

We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady state solutions and their stability. By employing a…

Quantum Gases · Physics 2010-12-09 R. Navarro , R. Carretero-Gonzalez , P. G. Kevrekidis

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 investigate the relative phase coherence properties and the occurrence of demixing instabilities for two mutually interacting and time evolving Bose-Einstein condensates in traps. Our treatment naturally includes the additional…

Condensed Matter · Physics 2009-10-31 Alice Sinatra , Yvan Castin

We consider two-dimensional spin-orbit coupled atomic Bose-Einstein condensate in a radially-periodic potential. The system supports different types of stable self-sustained states including radially-symmetric vorticity-carrying modes with…

Quantum Gases · Physics 2019-03-28 Yaroslav V. Kartashov , Dmitry A. Zezyulin

We study the collective modes of the minority component of a highly unbalanced Bose-Bose mixtures. In the miscible case the minority component feels an effective external potential and we derive an analytical expression for the mode…

Quantum Gases · Physics 2014-03-19 Alberto Sartori , Alessio Recati

We observe the suppression of the 1D transport of an interacting elongated Bose-Einstein condensate in a random potential with a standard deviation small compared to the typical energy per atom, dominated by the interaction energy.…

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

In the study of trapped two-component Bose gases, a widely used dynamical protocol is to start from the ground state of a one-component condensate and then switch half the atoms into another hyperfine state. The slightly different…

Quantum Gases · Physics 2013-06-21 Ivana Vidanovic , N. J. van Druten , Masudul Haque

We consider coupled atomic-molecular Bose-Einstein condensate system in a quasi-one-dimensional trap. In the vicinity of a Feshbach resonance the system can reveal soliton-like behavior. We analyze bright soliton solutions for the system in…

Other Condensed Matter · Physics 2009-11-11 B. Oles , K. Sacha

We study the family of static and moving dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates, exploring their modified form and interactions. The density dip of the soliton acts as a giant anti-dipole which adds a…

Quantum Gases · Physics 2015-12-02 T. Bland , M. J. Edmonds , N. P. Proukakis , A. M. Martin , D. H. J. O'Dell , N. G. Parker

We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, from the dynamical system formalism point of view. A…

Quantum Gases · Physics 2018-09-19 Elías Castellanos , Celia Escamilla-Rivera , Mayra J. Reyes-Ibarra

In the present contribution, we explore a host of different stationary states, namely dark-bright solitons and their lattices, that arise in the context of multi-component atomic Bose-Einstein condensates. The latter, are modeled by systems…

Quantum Gases · Physics 2015-06-18 D. Yan , F. Tsitoura , P. G. Kevrekidis , D. J. Frantzeskakis

Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior…

Quantum Gases · Physics 2019-05-22 B. B. Baizakov , S. M. Al-Marzoug , U. Al Khawaja , H. Bahlouli

We study the formation and dynamics of bright solitons in a quasi-one-dimensional reduced mean-field Gross-Pitaevskii equation of a dipolar Bose-Einstein condensate with repulsive short-range interactions. The study is carried out using a…

Quantum Gases · Physics 2014-06-20 Emerson Chiquillo

We discuss the coherent oscillations between two coupled quantum states of a Bose-Einstein condensate in two-dimensional space at zero temperature. In the system we consider, weak interparticle repulsive interactions occur between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 N. S. Voronova , Yu. E. Lozovik

We investigate the ground state of one-dimensional few-atom Bose-Bose mixtures under harmonic confinement throughout the crossover from weak to strong inter-species attraction. The calculations are based on the numerically exact…

Other Condensed Matter · Physics 2009-07-06 Emmerich Tempfli , Sascha Zöllner , Peter Schmelcher