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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

The properties of the localized states of a two component Bose-Einstein condensate confined in a nonlinear periodic potential [nonlinear optical lattice] are investigated. We reveal the existence of new types of solitons and study their…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , M. Salerno , Lauro Tomio

We study numerically the outcome of the phase separation instability of a dual-species Bose-Einstein condensate in an optical lattice. When only one excitation mode is unstable a bound pair of a bright and dark soliton-like structures…

Other Condensed Matter · Physics 2009-11-06 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

In the present work we examine the statics and dynamics of multiple parallel dark soliton stripes in a two-dimensional Bose-Einstein condensate. Our principal goal is to study the effect of the interaction between the stripes on the…

We report on the generation, subsequent oscillation and interaction of a pair of matter wave dark solitons. These are created by releasing a Bose-Einstein condensate from a double well potential into a harmonic trap in the crossover regime…

We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped 1D Bose gas. First, the form of the ground state is…

Pattern Formation and Solitons · Physics 2022-03-02 M. Beau , A. del Campo , D. J. Frantzeskakis , T. P. Horikis , P. G. Kevrekidis

We study the formation of bright solitons in the impurity component of Bose-Einstein condensate (BEC)-impurity mixture by using the time-dependent Hartree-Fock-Bogoliubov theory. While we assume the boson-boson and impurity-boson…

Quantum Gases · Physics 2016-04-26 Abdelaali Boudjemaa

Starting with a Gaussian variational ansatz, we predict anisotropic bright solitons in quasi-2D Bose-Einstein condensates consisting of atoms with dipole moments polarized \emph{perpendicular} to the confinement direction. Unlike isotropic…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , B. A. Malomed , A. Vardi

In this paper, a generalized long-wave short-wave resonance interaction system, which describes the nonlinear interaction between a short-wave and a long-wave in fluid dynamics, plasma physics and nonlinear optics, is considered. Using the…

Pattern Formation and Solitons · Physics 2022-06-22 M. Kirane , S. Stalin , M. Lakshmanan

The propagation of solitons in dipolar BEC in a trap potential with a barrier potential is investigated. The regimes of soliton transmission, reflection and splitting as a function of the ratio between the local and dipolar nonlocal…

Pattern Formation and Solitons · Physics 2013-07-17 F. Kh. Abdullaev , V. A. Brazhnyi

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 discuss temporal dark solitons in confined nonuniform Bose condensates. As a kind of localized high excitation, these solitons can be viewed as macroscopic quasiparticles, having relative motion to the background condensate. We get an…

Superconductivity · Physics 2007-05-23 Tao Hong , Yu Zhu Wang , Yun Sheng Huo

Quantum and classical integrable systems share common mathematical structures, and the phenomena appearing in them are interrelated. Solitons, which universally appear in classical integrable systems, also appear in quantum integrable…

Quantum Gases · Physics 2022-03-03 Yuki Ishiguro , Jun Sato , Katsuhiro Nishinari

We put forward and discuss in detail a scheme to achieve Bose-Einstein condensation of stationary-light dark-state polaritons with dipolar interaction. To this end we have introduced a diamond-like coupling scheme in a vapor of Rydberg…

Quantum Physics · Physics 2021-10-27 Frank E. Zimmer , Gor Nikoghosyan , Martin B. Plenio

Symmetry breaking is reported for continuous families of solitons in the nonlinear Schr\"odinger equation with a two-dimensional complex potential. This symmetry-breaking bifurcation is forbidden in generic complex potentials. However, for…

Pattern Formation and Solitons · Physics 2015-06-23 Jianke Yang

We introduce a model for the condensate of dipolar atoms or molecules, in which the dipole-dipole interaction (DDI) is periodically modulated in space, due to a periodic change of the local orientation of the permanent dipoles, imposed by…

Quantum Gases · Physics 2015-06-16 Fatkhulla Kh. Abdullaev , Arnaldo Gammal , Boris A. Malomed , Lauro Tomio

We numerically generate, and then study the basic properties of dark soliton-like excitations in a dipolar gas confined in a quasi one dimensional trap. These excitations, although very similar to dark solitons in a gas with contact…

Quantum Gases · Physics 2015-11-16 Krzysztof Pawlowski , Kazimierz Rzazewski

We model the dynamics of attractively interacting ultracold bosonic atoms in a quasi-one-dimensional wave-guide with additional harmonic trapping. Initially, we prepare the system in its ground state and then shift the zero of the harmonic…

Quantum Gases · Physics 2016-12-01 Bettina Gertjerenken , Timothy P. Wiles , Christoph Weiss

We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of…

Other Condensed Matter · Physics 2010-12-10 G. Herring , P. G. Kevrekidis , R. Carretero-Gonzalez , B. A. Malomed , D. J. Frantzeskakis , A. R. Bishop

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. An equation of nonlinear Schr\"odinger type is derived and exact…

Other Condensed Matter · Physics 2010-12-30 Zai-Dong Li , Qiu-Yan Li