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We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

We study the statics and dynamics of anisotropic, stable, bright and dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC) solitons on a one-dimensional (1D) optical-lattice (OL) potential. These solitons mobile in a…

Quantum Gases · Physics 2019-08-22 S K Adhikari

Dark soliton states of Bose-Einstein condensates in harmonic traps are studied both analytically and computationally by the direct solution of the Gross-Pitaevskii equation in three dimensions. The ground and self-consistent excited states…

Statistical Mechanics · Physics 2016-08-31 D. L. Feder , M. S. Pindzola , L. A. Collins , B. I. Schneider , C. W. Clark

We study a two-dimensional spin-orbit-coupled dipolar Bose-Einstein condensate with repulsive contact interactions by both the variational method and the imaginary time evolution of the Gross-Pitaevskii equation. The dipoles are completely…

Quantum Gases · Physics 2015-07-30 Yong Xu , Yongping Zhang , Chuanwei Zhang

We investigate the exact bright and dark solitary wave solutions of an effective one dimensional (1D) Bose-Einstein condensate (BEC) by assuming that the interaction energy is much less than the kinetic energy in the transverse direction.…

Pattern Formation and Solitons · Physics 2010-01-31 S. Rajendran , P. Muruganandam , M. Lakshmanan

We present families of beating dark-dark solitons in spin-orbit (SO) coupled Bose-Einstein condensates. These families consist of solitons residing simultaneously in the two bands of the energy spectrum. The soliton components are…

Quantum Gases · Physics 2015-06-19 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis

We theoretically investigate the one-dimensional dynamics of a dark soliton in a two-component immiscible mixture of Bose-Einstein condensates with repulsive interactions. We analyze the reflection and transmission of a soliton when it…

Quantum Gases · Physics 2024-06-11 Maria Arazo , Montserrat Guilleumas , Ricardo Mayol , Michele Modugno

We investigate the dynamics of a dark-bright soliton in a harmonic potential using a mean-field approach via coupled nonlinear Schr\"odinger equations appropriate to multicomponent Bose-Einstein condensates. We use a modified perturbed…

Quantum Gases · Physics 2018-10-09 Majed O. D. Alotaibi , Lincoln D. Carr

We present the phase diagram, the underlying stability and magnetic properties as well as the dynamics of nonlinear solitary wave excitations arising in the distinct phases of a harmonically confined spinor $F=1$ Bose-Einstein condensate.…

Pattern Formation and Solitons · Physics 2021-02-16 G. C. Katsimiga , S. I. Mistakidis , P. Schmelcher , P. G. Kevrekidis

We numerically study the breathing dynamics induced by collision between bright solitons in the one-dimensional Bose-Einstein condensates with strong dipole-dipole interaction. This breathing phenomenon is closely related to the…

Pattern Formation and Solitons · Physics 2021-08-11 Peng Gao , Xin Li , Zhan-Ying Yang , Wen-Li Yang , Su Yi

We investigate the nonequilibrium dynamics of two-dimensional Bose-Einstein condensates in boxlike traps with power-law potential boundaries by quenching the interatomic interactions. For both concave and convex potentials, we show that…

Pattern Formation and Solitons · Physics 2023-01-02 Rong Du , Jian-Chong Xing , Bo Xiong , Jun-Hui Zheng , Tao Yang

Adopting a mean-field Gross-Pitaevskii description for a spinor polariton Bose-Einstein condensates under non-resonant pumping, we investigate the static and dynamical properties of dark-bright solitons. We derive analytically the equation…

Quantum Gases · Physics 2019-05-22 Xingran Xu , Lei Chen , Zhidong Zhang , Zhaoxin Liang

We investigate the dynamics of a binary mixture of Bose-Einstein condensates in the impurity limit -- where one component is dilute enough to be treated like an impurity -- and confined to two dimensions. Using the mean-field coupled…

Pattern Formation and Solitons · Physics 2026-04-28 Dileep K , S Murugesh

We consider a Bose-Einstein condensate with repulsive interactions confined in a 1D ring where a Dirac delta is rotating at constant speed. The spectrum of stationary solutions in the delta comoving frame is analyzed in terms of the…

Quantum Gases · Physics 2020-02-26 Axel Pérez-Obiol , Taksu Cheon

We study motion of dark solitons in a non-uniform one-dimensional flow of Bose-Einstein condensate. Our approach is based on Hamiltonian mechanics applied to the particle-like behavior of dark solitons in a slightly non-uniform and slowly…

Pattern Formation and Solitons · Physics 2023-06-08 S. K. Ivanov , A. M. Kamchatnov

We examine the stability and dynamics of a family of crossed dark solitons in a harmonically confined Bose-Einstein condensate in two dimensions. Working in a regime where the fundamental snake instability is suppressed, we show the…

Quantum Gases · Physics 2014-02-04 T. Morgan , Th. Busch

We analyze the dynamics of two-component vector solitons, namely bright-in-dark solitons, via the variational approximation in Bose-Einstein condensates. The system is described by a vector nonlinear Schr\"odinger equation appropriate to…

Quantum Gases · Physics 2017-07-12 Majed O. D. Alotaibi , Lincoln D. Carr

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 dark-bright ring solitons in two-component Bose-Einstein condensates. In the limit of large densities of the dark component, we describe the soliton dynamics by means of an equation of motion for the ring radius. The presence of…

Quantum Gases · Physics 2011-09-16 J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

A number of recent experiments with nearly pure atomic Bose-Einstein condensates have confirmed the predicted dark soliton oscillations when under harmonic trapping. However, a dark soliton propagating in an inhomogeneous condensate has…

Quantum Gases · Physics 2010-03-16 N. G. Parker , N. P. Proukakis , C. S. Adams