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This article presents an overview of experimental efforts in recent years related to multidimensional solitons in Bose-Einstein condensates. We discuss the techniques used to generate and observe multidimensional nonlinear waves in…

Other Condensed Matter · Physics 2010-06-01 Joachim Brand , L. D. Carr , B. P. Anderson

We investigate nonlinear dynamics induced by the modulation instability of a two-component mixture in an atomic Bose-Einstein condensate. The nonlinear dynamics is examined using numerical simulations of the time-dependent coupled…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Makoto Tsubota

We review a number of topics germane to higher-dimensional solitons in Bose-Einstein condensates. For dark solitons, we discuss dark band and planar solitons; ring dark solitons and spherical shell solitons; solitary waves in restricted…

Other Condensed Matter · Physics 2010-06-01 L. D. Carr , Joachim Brand

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

We study the pseudo-spin density response of a disordered two-dimensional spin-polarized Bose gas of exciton polaritons to weak alternating magnetic field, assuming that one of the spin states of the doublet is macroscopically occupied and…

Mesoscale and Nanoscale Physics · Physics 2017-06-12 V. M. Kovalev , I. G. Savenko

We study the stability, form and interaction of single and multiple dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates. The solitons are found numerically as stationary solutions in the moving frame of a non-local…

Quantum Gases · Physics 2016-06-28 M. J. Edmonds , T. Bland , D. H. J. O'Dell , N. G. Parker

A two-component Bose-Einstein condensate that is confined in a one-dimensional ring potential supports solitary-wave solutions, which we evaluate analytically. The derived solutions are shown to be unique. The corresponding dispersion…

Quantum Gases · Physics 2015-05-14 J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis , A. D. Jackson

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

This work deals with matter-wave bright soliton molecules in spin-1 Bose-Einstein condensates described by three-component Gross-Pitaevskii equations with non-autonomous nonlinearities that can be tuned by Feshbach resonance management.…

Quantum Gases · Physics 2023-03-16 K. Sakkaravarthi , R. Babu Mareeswaran , T. Kanna

We have studied the internal and external dynamics of a Bose-Einstein condensate in an anharmonic magnetic waveguide. An oscillating condensate experiences a strong coupling between the center of mass motion and the internal collective…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortágh , S. Kraft , A. Günther , D. Komma , C. Zimmermann

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

We consider a two-component Bose-condensed mixture characterized by positive s-wave scattering lengths. We assume equal densities and intra-species interactions. By doing the Bogoliubov transformation of an effective Hamiltonian we obtain…

Quantum Gases · Physics 2020-01-29 S. V. Andreev , O. I. Utesov

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The inter-species and intra-species interactions may be both repulsive or…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

The excitations of a two-dimensional (2D) Bose-Einstein condensate in the presence of a soliton are studied by solving the Kadomtsev-Petviashvili equation which is valid when the velocity of the soliton approaches the speed of sound. The…

Superconductivity · Physics 2009-11-13 Shunji Tsuchiya , Franco Dalfovo , Lev P. Pitaevskii

We extend our theory of slow magnons in a two-component Bose-Einstein condensate to the case of two spatial dimensions (2D). We provide a detailed discussion of polaronic corrections to the magnon branch of the elementary excitation…

Quantum Gases · Physics 2024-06-21 O. I. Utesov , S. V. Andreev

Solitons in multi-component Bose-Einstein condensates have been paid much attention, due to the stability and wide applications of them. The exact soliton solutions are usually obtained for integrable models. In this paper, we present four…

Quantum Gases · Physics 2019-12-03 Ling-Zheng Meng , Yan-Hong Qin , Li-Chen Zhao

Recent theoretical and experimental research has explored magnetic solitons in binary Bose-Einstein condensates (BECs). Here we demonstrate that such solitons are part of an SO(3) soliton family when embedded within a full three-component…

Quantum Gases · Physics 2021-01-13 Xiao Chai , Di Lao , Kazuya Fujimoto , Chandra Raman

Solitons play a fundamental role in dynamics of nonlinear excitations. Here we explore the motion of solitons in one-dimensional uniform Bose-Einstein condensates subjected to a spin-orbit coupling (SOC). We demonstrate that the spin…

Quantum Gases · Physics 2016-12-21 Lin Wen , Q. Sun , Yu Chen , Deng-Shan Wang , J. Hu , H. Chen , W. -M. Liu , G. Juzeliūnas , Boris A. Malomed , An-Chun Ji

We investigate the dynamics of the localized nonlinear matter wave in spin-1 Bose-Einstein condensates with trapping potentials and nonlinearities dependent on time and space. We solve the three coupled Gross-Pitaevskii equation by…

Pattern Formation and Solitons · Physics 2017-02-16 Yu-Qin Yao , Wei Han , Ji Li , Hui-lan Wu , Wu-Ming Liu

We explore the stability and dynamics of dark-bright solitons in two-component elongated Bose-Einstein condensates by developing effective 1D vector equations as well as solving the corresponding 3D Gross-Pitaevskii equations. A strong…