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The system leading to phase segregation in two-component Bose-Einstein condensates can be generalized to hyperfine spin states with a Rabi term coupling. This leads to domain wall solutions having a monotone structure for a non-cooperative…

Analysis of PDEs · Mathematics 2019-07-24 Amandine Aftalion , Alberto Farina , Luc Nguyen

The form and stability properties of axisymmetric and spherically symmetric stationary states in two and three dimensions, respectively, are elucidated for Bose-Einstein condensates. These states include the ground state, central vortices,…

Other Condensed Matter · Physics 2009-11-10 L. D. Carr , Charles W. Clark

In the easy-plane phase, a ferromagnetic spin-1 Bose-Einstein condensate is magnetized in a plane transverse to the applied Zeeman field. This phase supports polar-core spin vortices (PCVs), which consist of phase windings of transverse…

Quantum Gases · Physics 2025-04-29 Zachary L. Stevens-Hough , Matthew J. Davis , Lewis A. Williamson

We investigate the ground-state properties of spin-orbit-coupled pseudo-spin-1/2 dipolar Bose-Einstein condensates (BECs) in a two-dimensional harmonic trap and an in-plane quadrupole field. The effects of spin-orbit coupling (SOC),…

Quantum Gases · Physics 2019-11-11 Xiaoqian Li , Qingbo Wang , Huan Wang , Chunxiao Shi , Malcolm Jardine , Linghua Wen

It is shown that the quasi-one-dimensional Bose-Einstein condensate is experimentally accessible and rich in intriguing phenomena. We demonstrate numerically and analytically the existence, stability, and perturbation-induced dynamics of…

Condensed Matter · Physics 2009-10-31 Lincoln D. Carr , Mary Ann Leung , William P. Reinhardt

We study the low-temperature phases of interacting bosons on a two-dimensional quasicrystalline lattice. By means of numerically exact Path Integral Monte Carlo simulations, we show that for sufficiently weak interactions the system is a…

Disordered Systems and Neural Networks · Physics 2023-10-31 Matteo Ciardi , Adriano Angelone , Fabio Mezzacapo , Fabio Cinti

We numerically investigate the ground state, the Raman-driving dynamics and the nonlinear excitations of a realized spin-orbit-coupled Bose-Einstein condensate in a one-dimensional harmonic trap. Depending on the Raman coupling and the…

Quantum Gases · Physics 2015-01-07 Shuai Cao , Chuan-Jia Shan , Dan-Wei Zhang , Xizhou Qin , Jun Xu

Vortex-lattice structures of antiferromagnetic spinor Bose-Einstein condensates with hyperfine spin F=1 are investigated theoretically based on the Ginzburg-Pitaevskii equations near $T_{c}$. The Abrikosov lattice with clear core regions…

Statistical Mechanics · Physics 2009-11-07 T. Kita , T. Mizushima , K. Machida

In certain field theoretical models, composite solitons consisting of a domain wall and vortex lines attached to the wall have been referred to as D-brane solitons. We show that similar composite solitons can be realized in phase-separated…

Quantum Gases · Physics 2013-09-17 Kenichi Kasamatsu , Hiromitsu Takeuchi , Muneto Nitta

We consider a two-dimensional (2D) two-component spinor system with cubic attraction between the components and intra-species self-repulsion, which may be realized in atomic Bose-Einstein condensates, as well as in a quasi-equilibrium…

Spin-orbit (SO) coupling can be introduced in a Bose--Einstein condensate (BEC) as a gauge potential acting only in a localized spatial domain. Effect of such a SO "defect" can be understood by transforming the system to the integrable…

Quantum Gases · Physics 2015-06-23 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin

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

The ground states of Bose-Einstein condensates of spin-2 bosons are classified into three distinct (ferromagnetic, ^^ ^^ antiferromagnetic", and cyclic) phases depending on the s-wave scattering lengths of binary collisions for total-spin…

Statistical Mechanics · Physics 2009-11-07 Masahito Ueda , Masato Koashi

For a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, we introduce cross patterns, which are generated by intersection of two domain walls (DWs) separating immiscible species, with opposite signs of the wave functions in each…

Other Condensed Matter · Physics 2009-11-10 Boris A. Malomed , H. E. Nistazakis , D. J. Frantzeskakis , P. G. Kevrekidis

We theoretically show that the topology of a non-simply-connected annular atomic Bose-Einstein condensate enforces the inner surface waves to be always excited with outer surface excitations and that the inner surface modes are associated…

Quantum Gases · Physics 2012-07-26 S. J. Woo , Young-Woo Son

We study the energetic and dynamic stability of coreless vortices in nonrotated spin-1 Bose-Einstein condensates, trapped with a three-dimensional optical potential and a Ioffe-Pritchard field. The stability of stationary vortex states is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Pietila , M. Mottonen , S. M. M. Virtanen

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of long-range atomic interaction with highly oscillatory…

Quantum Gases · Physics 2021-02-10 Yong-Chang Zhang , Valentin Walther , Thomas Pohl

We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength and the particle numbers.No…

Quantum Gases · Physics 2011-10-26 Peter Mason , Amandine Aftalion

We experimentally generate sine-Gordon-like solitons in a spin-1 spinor Bose-Einstein condensate (BEC) utilizing a robust and reproducible local phase-imprinting scheme. We find that the soliton velocity can be tuned by the effective…

We demonstrate the existence of one and two-dimensional bright solitons in the Bose-Einstein condensate with repulsive dipole-dipole interactions induced by a combination of dc and ac polarizing fields, oriented perpendicular to the plane…

Pattern Formation and Solitons · Physics 2015-06-17 Yongyao Li , Jingfeng Liu , Wei Pang , Boris A. Malomed