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Related papers: Vortices in spinor cold exciton condensates with s…

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We study the ground-state configurations and spin textures of rotating two-component Bose-Einstein condensates (BECs) with Rashba-Dresselhaus spin-orbit coupling (RD-SOC), which are confined in a two-dimensional (2D) optical lattice plus a…

Quantum Gases · Physics 2019-11-28 Hui Yang , Qingbo Wang , Ning Su , Linghua Wen

We theoretically investigate vortex-lattice phases of rotating spinor Bose-Einstein condensates (BEC) with the ferromagnetic spin-interaction by numerically solving the Gross-Pitaevskii equation. The spinor BEC under slow rotation can…

Soft Condensed Matter · Physics 2009-11-10 Takeshi Mizushima , Naoko Kobayashi , Kazushige Machida

We investigate the topological defects and spin structures of binary Bose-Einstein condensates (BECs) with Dresselhaus spin-orbit coupling (D-SOC) in a rotating anharmonic trap. Our results show that for initially mixed BECs without SOC the…

Quantum Gases · Physics 2019-11-12 Chunxiao Shi , Linghua Wen , Qingbo Wang , Hui Yang , Huan Wang

We apply the homotopy group theory in classifying the topological defects in atomic spin-1 and spin-2 Bose-Einstein condensates. The nature of the defects depends crucially on the spin-spin interaction between the atoms. We find the…

Soft Condensed Matter · Physics 2007-05-23 Yunbo Zhang , Harri Mäkelä , Kalle-Antti Suominen

We study supersolid-like crystalline structures emerging in the stationary states of a quasi-two-dimensional spin-orbit (SO)-coupled spin-2 condensate in the ferromagnetic, cyclic, and antiferro-magnetic phases by solving a mean-field…

Quantum Gases · Physics 2022-02-03 Pardeep Kaur , Sandeep Gautam , S. K. Adhikari

We generalize the spin Meissner effect for exciton-polariton condensate confined in annular geometries to the case of non-trivial topology of the condensate wavefunction. In contrast to the conventional spin Meissner state, topological spin…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 D. R. Gulevich , D. V. Skryabin , A. P. Alodjants , I. A. Shelykh

We consider a model of the exciton-polariton condensate based on a system of two Gross-Pitaevskii equations coupled by the second-order differential operator, which represents the spin-orbit coupling (SOC) in the system. Also included are…

Optics · Physics 2017-09-13 Hidetsugu Sakaguchi , Boris A. Malomed , Dmitry V. Skryabin

Intensive theoretical studies have recently predicted that a Bose-Einstein condensate will exhibit a variety of novel properties if spin-orbit coupling is present. However, an unambiguous fact has also been pointed out: Rashba coupling…

Quantum Gases · Physics 2015-06-11 Qi Zhou , Xiaoling Cui

The present contribution explores phase transitions that occur in the ground state (GS) of spin-1 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) under the action of gradient magnetic fields. By solving the corresponding…

Quantum Gases · Physics 2025-10-21 Xin-Feng Zhang , Huan-Bo Luo , Josep Batle , Bin Liu , Yongyao Li

The structure and stability of various vortices in F=1 spinor Bose-Einstein condensates are investigated by solving the extended Gross-Pitaevskii equation under rotation. We perform an extensive search for stable vortices, considering both…

Soft Condensed Matter · Physics 2009-11-07 T. Mizushima , K. Machida , T. Kita

Half-vortices have been recently shown to be the elementary topological defects supported by a spinor cavity exciton-polaritons condensates with spin anisotropic interactions (Y. G. Rubo, Phys. Rev. Lett. 99, 106401 (2007)). A half vortex…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 Hugo Flayac , Ivan Shelykh , Dmitry Solnyshkov , Guillaume Malpuech

We report results of systematic analysis of confined steadily rotating patterns in the two-component BEC including the spin-orbit coupling (SOC) of the Rashba type, which acts in the interplay with the attractive or repulsive…

Quantum Gases · Physics 2024-11-07 Hidetsugu Sakaguchi , Boris A. Malomed

In this article, we study mathematically and numerically the ground states of three-component rotating spin-orbit coupled (SOC) spin-1 Bose-Einstein condensates modeled by the coupled Gross-Pitaevskii equations (CGPEs). Firstly, we…

Numerical Analysis · Mathematics 2026-02-23 Jing Wang , Wei Yang , Yongjun Yuan , Yong Zhang

Vortex lattice states occurring in noncentrosymmetric superconductors with the spin-orbit coupling of Rashba type under a magnetic field parallel to the symmetry plane are examined by assuming the $s$-wave pairing case and in an approach…

Superconductivity · Physics 2015-10-14 Yuichiro Dan , Ryusuke Ikeda

Ground-state phase diagram of two-component Bose gases with Rashba spin-orbit coupling is determined via a variational approach. A phase in which the fully polarized condensate occupies zero momentum is identified. This zero-momentum phase…

Quantum Gases · Physics 2013-05-24 Zeng-Qiang Yu

We consider the cubic nonlinear Schr\"{o}dinger system with Rashba type Spin-Orbit coupling (SOC) on $\mathbb{R}^2$, which is also called the Gross--Pitaevskii equation with SOC. The system describes SO-coupled spinor BEC in physics. In the…

Analysis of PDEs · Mathematics 2026-04-22 Takahisa Inui

We review the topic of quantized vortices in multicomponent Bose-Einstein condensates of dilute atomic gases, with an emphasis on that in two-component condensates. First, we review the fundamental structure, stability and dynamics of a…

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

The low lying excitations of coreless vortex states in F = 1 spinor Bose-Einstein condensates (BECs) are theoretically investigated using the Gross-Pitaevskii and Bogoliubov-de Gennes equations. The spectra of the elementary excitations are…

Other Condensed Matter · Physics 2009-03-09 M. Takahashi , V. Pietila , M. Mottonen , T. Mizushima , K. Machida

It was recently found that excited states of semi-vortex and mixed-mode solitons are unstable in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We demonstrate a possibility to stabilize such excited states in…

Quantum Gases · Physics 2018-02-07 Chunqing Huang , Yuebo Ye , Shimei Liu , Hexiang He , Wei Pang , B. A. Malomed , Yongyao Li

We study the ground state of the rotating spinor condensate and show that for slow rotation the ground state of the ferromagnetic spinor condensate is a coreless vortex. While coreless vortex is not topologically stable, we show that there…

Soft Condensed Matter · Physics 2009-11-07 J. -P. Martikainen , A. Collin , K. -A. Suominen