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We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear symmetric Bose mixtures. Leveraging a phase-plane analysis,…

Pattern Formation and Solitons · Physics 2023-06-21 G. C. Katsimiga , S. I. Mistakidis , G. N. Koutsokostas , D. J. Frantzeskakis , R. Carretero-Gonzalez , P. G. Kevrekidis

Vector solitons are a type of solitary, or non-spreading wavepacket occurring in a nonlinear medium comprised of multiple components. As such, a variety of synthetic systems can be constructed to explore their properties, from nonlinear…

Quantum Gases · Physics 2020-07-22 Xiao Chai , Di Lao , Kazuya Fujimoto , Ryusuke Hamazaki , Masahito Ueda , Chandra Raman

We unveil the dynamical formation of multiple localized structures in the form of dark-bright and dark-antidark solitary waves that emerge upon quenching a one-dimensional particle-imbalanced Bose-Bose mixture. Interspecies interaction…

Quantum Gases · Physics 2019-08-21 H. Kiehn , S. I. Mistakidis , G. C. Katsimiga , P. Schmelcher

We find the different spatial chaos in a one-dimensional attractive Bose-Einstein condensate interacting with a Gaussian-like laser barrier and perturbed by a weak optical lattice. For the low laser barrier the chaotic regions of parameters…

Other Condensed Matter · Physics 2009-11-13 Wenhua Hai , Shiguang Rong , Qianquan Zhu

The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In the present work, we revisit this topic extending…

Pattern Formation and Solitons · Physics 2025-03-24 J. D'Ambroise , W. Wang , C. Ticknor , R. Carretero-González , P. G. Kevrekidis

Motivated by the study of matter waves in Bose-Einstein condensates and coupled nonlinear optical systems, we study a system of two coupled nonlinear Schrodinger equations with inhomogeneous parameters, including a linear coupling. For that…

Dynamical Systems · Mathematics 2009-11-13 Juan Belmonte Beitia , Victor M. Perez Garcia , Pedro J. Torres

We analyse the static solutions of attractive Bose-Einstein condensates under transverse confinement, both with and without axial confinement. By full numerical solution of the Gross-Pitaevskii equation and variational methods we map out…

Other Condensed Matter · Physics 2009-11-13 N. G. Parker , S. L. Cornish , C. S. Adams , A. M. Martin

We calculate the dispersion relation associated with a solitary wave in a quasi-one-dimensional Bose-Einstein condensate of atoms confined in a harmonic, cylindrical trap in the limit of weak and strong interactions. In both cases, the…

Condensed Matter · Physics 2009-11-07 A. D. Jackson , G. M. Kavoulakis

We study two-dimensional quantum turbulence in miscible binary Bose-Einstein condensates in either a harmonic trap or a steep-wall trap through the numerical simulations of the Gross-Pitaevskii equations. The turbulence is generated through…

We examine the spectral properties of single and multiple matter-wave dark solitons in Bose-Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. In addition to the large-density limit…

Pattern Formation and Solitons · Physics 2017-05-24 P. G. Kevrekidis , R. Carretero-Gonzalez , D. J. Frantzeskakis

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

We present a theoretical analysis of a coupled, two-state Bose-Einstein condensate with non-equal scattering lengths, and show that dynamical instabilities can be excited. We demonstrate that these instabilities are exponentially amplified…

Quantum Physics · Physics 2013-05-29 Graham R. Dennis , Mattias T. Johnsson

Two-component mixtures of Bose-Einstein condensates are shown to support solitary wave complexes that move with a constant velocity preserving their form. I obtain the families of such solitary wave complexes in two-dimensional…

Other Condensed Matter · Physics 2007-05-23 Natalia G. Berloff

A stationary wave pattern occurring in a flow of a two-component Bose-Einstein condensate past an obstacle is studied. We consider the general case of unequal velocities of two superfluid components. The Landau criterium applied to the…

Other Condensed Matter · Physics 2009-05-19 L. Yu. Kravchenko , D. V. Fil

We report on the controlled creation of multiple soliton complexes of the dark-bright type in one-dimensional two-component, three-component and spinor Bose-Einstein condensates. The formation of these states is based on the so-called…

Quantum Gases · Physics 2020-06-05 A. Romero-Ros , G. C. Katsimiga , P. G. Kevrekidis , P. Schmelcher

We consider formation of dissipationless shock waves in Bose-Einstein condensates with repulsive interaction between atoms. It is shown that big enough initial inhomogeneity of density leads to wave breaking phenomenon followed by…

Soft Condensed Matter · Physics 2009-11-10 A. M. Kamchatnov , A. Gammal , R. A. Kraenkel

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

We study the stability of persistent currents in a coherently coupled quasi-2D Bose-Einstein condensate confined in a ring trap at T=0. By numerically solving Gross-Pitaevskii equations and by analyzing the excitation spectrum obtained from…

Quantum Gases · Physics 2016-03-09 Marta Abad

We report on the existence and stability of multidimensional bound solitonic states in harmonically-trapped scalar Bose-Einstein condensates. Their equilibrium separation, as a measure of the strength of the soliton-soliton or the solitonic…

Quantum Gases · Physics 2018-10-17 I. Morera , M. Guilleumas , R. Mayol , A. Muñoz Mateo

The development of integrated, waveguide-based atom optical devices requires a thorough understanding of nonlinear matter-wave mixing processes in confined geometries. This paper analyzes the stability of counterpropagating two-component…

Condensed Matter · Physics 2007-05-23 J. Heurich , H. Pu , M. G. Moore , P. Meystre