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We report analytical solutions for diverse multi-pole (MP) soliton and breather states in spatially inhomogeneous binary Bose-Einstein condensates (BECs) with the helicoidally shaped spin-orbit coupling (SOC), including MP stripe solitons…

Pattern Formation and Solitons · Physics 2025-12-02 Cui-Cui Ding , Qin Zhou , B. A. Malomed

We study matter-wave bright solitons in spin-orbit (SO) coupled Bose-Einstein condensates (BECs) with attractive interatomic interactions. We use a multiscale expansion method to identify solution families for chemical potentials in the…

Quantum Gases · Physics 2013-08-09 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , D. E. Pelinovsky

We demonstrate that the model of a spatially non-uniform two-component Bose-Einstein condensate (BEC) featuring the helicoidal spin-orbit coupling (SOC), gives rise to dark-bright soliton complexes characterized by spatiotemporal periodic…

Quantum Gases · Physics 2025-03-20 Cui-Cui Ding , Qin Zhou , B. A. Malomed

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

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 consider helicoidal spin-orbit coupled Bose-Einstein condensates in deep optical lattice and study the dynamics of Bloch oscillation. We show that the variation of helicoidal gauge potential with spin-orbit coupling is different in…

Quantum Gases · Physics 2026-01-07 Sumaita Sultana , Golam Ali Sekh

We show that attractive two-dimensional spinor Bose-Einstein condensates with helicoidal spatially periodic spin-orbit coupling (SOC) support a rich variety of stable fundamental solitons and bound soliton complexes. Such states exist with…

Quantum Gases · Physics 2020-10-09 Ya. V. Kartashov , E. Ya. Sherman , B. A. Malomed , V. V. Konotop

The present work is motivated by the recent experimental realization of the Townes soliton in an effective two-component Bose-Einstein condensate by B. Bakkali-Hassan et al. [Phys. Rev. Lett. 127, 023603 (2021)]. Here, we use a similar…

We report on experimental results where a temporal intensity profile presenting some of the main signatures of the Peregrine soliton (PS) is observed. However, the emergence of a highly peaked structure over a continuous background in a…

Optics · Physics 2020-10-09 Christophe Finot

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 demonstrate exotic stable quasi-two-dimensional solitons in a Rashba or a Dresselhaus spin-orbit (SO) coupled hyperfine spin-1 ($F=1$) trap-less antiferromagnetic Bose-Einstein condensate using the mean-field Gross-Pitaevskii equation.…

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

The stationary bright solitons that appear in the ground state of the spin-orbit coupled Bose-Einstein condensate (SOC-BEC) exhibit nodes. We consider SOC-BEC in combined linear and nonlinear optical lattices and study their effects on the…

Atomic Physics · Physics 2021-10-14 Golam Ali Sekh , Benoy Talukdar

It was recently found that the spin-orbit (SO) coupling can help to create stable matter-wave solitons in spinor Bose-Einstein condensates in the two-dimensional (2D) free space. Being induced by external laser illumination, the effective…

Pattern Formation and Solitons · Physics 2019-03-15 Yongyao Li , Xiliang Zhang , Rongxuan Zhong , Zhihuan Luo , Bin Liu , Chunqing Huang , Wei Pang , Boris A. Malomed

The ground-state phases of a spin-orbit (SO) coupled atomic spin-2 Bose-Einstein condensate (BEC) are studied. Interesting density patterns spontaneously formed are widespread due to the competition between SO coupling and spin-dependent…

Quantum Gases · Physics 2011-05-04 Z. F. Xu , R. Lü , L. You

We experimentally realize the Peregrine soliton in a highly particle-imbalanced two-component repulsive Bose-Einstein condensate in the immiscible regime. The effective focusing dynamics and resulting modulational instability of the…

Pattern Formation and Solitons · Physics 2024-01-24 A. Romero-Ros , G. C. Katsimiga , S. I. Mistakidis , S. Mossman , G. Biondini , P. Schmelcher , P. Engels , P. G. Kevrekidis

We investigate the stability of supercurrents in a Bose-Einstein condensate with one-dimensional spin-orbit and Raman couplings. The consequence of the lack of Galilean invariance is explicitly discussed. We show that in the plane-wave…

Quantum Gases · Physics 2013-06-13 Tomoki Ozawa , Lev P. Pitaevskii , Sandro Stringari

In Bose-Einstein condensates (BEC), spin-orbit coupling (SOC) produces supersolidity. It is a peculiar state of matter, which, in addition to the superfluid behaviour shows periodic density modulation typical for crystals. Here, we report…

This study explores the dynamics of Bose-Einstein condensates (BECs) with helicoidal spin-orbit coupling (SOC) and Rabi coupling, confined under a two-dimensional harmonic potential. The relationship between helicoidal SOC, non-linear…

Quantum Gases · Physics 2026-05-27 Sai Satyaprakash Biswal , S. Saravana Veni

We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using numerical solution and variational approximation of a mean-field…

Quantum Gases · Physics 2019-08-20 Sandeep Gautam , S. K. Adhikari

We present the numerical results of the structure and dynamics of the self-bound ground state arising solely because of the presence of beyond mean field quantum fluctuation in spin-orbit coupled binary Bose-Einstein condensates in one…

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