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It was recently demonstrated that two-dimensional Townes solitons (TSs) in two-component systems with cubic self-focusing, which are normally made unstable by the critical collapse, can be stabilized by linear spin-orbit coupling (SOC), in…

Pattern Formation and Solitons · Physics 2020-07-15 Elad Shamriz , Zhaopin Chen , Boris A. Malomed

This mini-review collects theoretical results predicting the creation of matter-wave solitons by the pseudo-spinor system of Gross-Pitaevskii equations (GPEs) with the self-attractive cubic nonlinearity and linear first-order-derivative…

Quantum Gases · Physics 2018-08-01 Boris A. Malomed

Cold atoms with laser-induced spin-orbit (SO) interactions provide intriguing new platforms to explore novel quantum physics beyond natural conditions of solids. Recent experiments demonstrated the one-dimensional (1D) SO coupling for boson…

We demonstrate spontaneous spatial order in stripe and super-lattice solitons in a Rashba spin-orbit (SO) coupled spin-1 uniform quasi-two-dimensional (quasi-2D) ferromagnetic Bose-Einstein condensate. For weak SO coupling, the solitons are…

Quantum Gases · Physics 2021-01-08 S. K. Adhikari

We report on the existence and stability of freely moving solitons in a spatially inhomogeneous Bose- Einstein condensate with helicoidal spin-orbit (SO) coupling. In spite of the periodically varying parameters, the system allows for the…

Pattern Formation and Solitons · Physics 2017-09-22 Yaroslav V. Kartashov , Vladimir V. Konotop

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

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 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 report the realization of a robust and highly controllable two-dimensional (2D) spin-orbit (SO) coupling with topological non-trivial band structure. By applying a retro-reflected 2D optical lattice, phase tunable Raman couplings are…

An experimental proposal for realizing spin-orbit (SO) coupling of pseudospin-1 in the ground manifold $^1\Sigma(\upsilon=0)$ of (bosonic) bialkali polar molecules is presented. The three spin components are composed of the ground…

Quantum Gases · Physics 2018-05-16 Y. Deng , L. You , S. Yi

We elaborate a mechanism for the formation of stable solitons of the semi-vortex type (with vorticities 0 and 1 in their two components), populating a finite bandgap in the spectrum of the spin-orbit-coupled binary Bose-Einstein condensate…

Quantum Gases · Physics 2018-02-14 H. Sakaguchi , B. A. Malomed

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3d) form. Motivated by earlier studies of dark-bright solitons in the 1d case, we explore the stability of these structures in their…

Quantum Gases · Physics 2017-03-08 Wenlong Wang , P. G. Kevrekidis

We study the formation of solitons in a uniform quasi-two-dimensional (quasi-2D) spin-orbit (SO) coupled self-repulsive binary dipolar and nondipolar Bose-Einstein condensate (BEC) using the mean-field Gross-Pitaevskii equation. For a weak…

Quantum Gases · Physics 2026-02-05 S. K. Adhikari

It was found that spatially confined spin-orbit (SO) coupling, which can be induced by illuminating Bose-Einstein condensates (BECs) with a Gaussian laser beam, can help trap a spinor Bose gas in multi-dimensional space. Previous works on…

Pattern Formation and Solitons · Physics 2020-05-19 Xiong-wei Chen , Zhi-gui Deng , Xiao-xi Xu , Shu-lan Li , Zhi-wei Fan , Zhao-pin Chen , Bin Liu , Yong-yao Li

In this work, we employ the $SO(2)$-rotations of a two-component, one-, two- and three-dimensional nonlinear Schr\"{o}dinger system at and near the Manakov limit, to construct vector solitons and vortex structures. This way, stable…

Pattern Formation and Solitons · Physics 2016-06-20 E. G. Charalampidis , Wenlong Wang , P. G. Kevrekidis , D. J. Frantzeskakis , J. Cuevas-Maraver

In the present work, we explore the potential of spin-orbit (SO) coupled Bose-Einstein condensates to support multi-component solitonic states in the form of dark-bright (DB) solitons. In the case where Raman linear coupling between…

Pattern Formation and Solitons · Physics 2017-10-11 J. D'Ambroise , D. J. Franzeskakis , P. G. Kevrekidis

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

We study bright solitons in a Bose-Einstein condensate with a spin-orbit coupling that has been realized experimentally. Both stationary bright solitons and moving bright solitons are found. The stationary bright solitons are the ground…

Quantum Gases · Physics 2013-01-25 Yong Xu , Yongping Zhang , Biao Wu

Five-component minimum-energy bound states and mobile vector solitons of a spin-orbit-coupled quasi-one-dimensional hyperfine-spin-2 Bose-Einstein condensate are studied using the numerical solution and variational approximation of a…

Quantum Gases · Physics 2015-07-21 Sandeep Gautam , S. K. Adhikari

We study trapped 2D atomic Bose-Einstein condensates with spin-independent interactions in the presence of an isotropic spin-orbit coupling, showing that a rich physics results from the non-trivial interplay between spin-orbit coupling,…

Quantum Gases · Physics 2015-05-30 Subhasis Sinha , Rejish Nath , Luis Santos