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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

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 analyze the structure and stability of singular singly quantized vortices in a rotating spin-1 Bose-Einstein condensate. We show that the singular vortex can be energetically stable in both the ferromagnetic and polar phases despite the…

Quantum Gases · Physics 2012-07-13 Justin Lovegrove , Magnus O. Borgh , Janne Ruostekoski

We show that conservation of longitudinal magnetization in a spinor condensate provides a stabilizing mechanism for a coreless vortex phase-imprinted on a polar condensate. The stable vortex can form a composite topological defect with…

Quantum Gases · Physics 2015-06-16 Justin Lovegrove , Magnus O. Borgh , Janne Ruostekoski

We demonstrate how conservation of longitudinal magnetization can have pronounced effects on both stability and structure of vortices in the atomic spin-1 Bose-Einstein condensate by providing a systematic characterization of nonsingular…

Quantum Gases · Physics 2016-03-21 Justin Lovegrove , Magnus O. Borgh , Janne Ruostekoski

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

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

In this paper we first derive a general method which enables one to create expressions for vortices and monopoles. By using this method we construct several order-parameters describing the vortices and monopoles of Bose-Einstein condensates…

Other Condensed Matter · Physics 2009-11-11 H. Mäkelä

A spin-1 condensate with antiferromagnetic interactions supports nematic spin vortices in the easy-plane polar phase. These vortices have a $2\pi$ winding of the nematic director, with a core structure that depends on the quadratic Zeeman…

Quantum Gases · Physics 2020-09-02 Andrew P. C. Underwood , D. Baillie , P. Blair Blakie , H. Takeuchi

The phase diagram of lowest-energy vortices in the polar phase of spin-1 Bose--Einstein condensates is investigated theoretically. Singly quantized vortices are categorized by the local ordered state in the vortex core and three types of…

Quantum Gases · Physics 2021-08-04 Hiromitsu Takeuchi

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

The relative stability of various axisymmetric vortices in a spinor Bose-Einstein condensate with F=1 is examined within extended Bogoliubov theory. This yields the phase diagram in the plane of external rotation frequency vs magnetization.…

Soft Condensed Matter · Physics 2009-11-07 Tomoya Isoshima , Kazushige Machida

Spinor Bose-Einstein condensates under external magnetic fields exhibit well-characterized spin domains of its ground state due to spin-dependent interactions. At low temperatures, collision-induced spin-mixing instabilities may promote the…

Quantum Gases · Physics 2022-01-12 E. Serrano-Ensástiga , F. Mireles

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the…

Other Condensed Matter · Physics 2009-11-10 Jong-kwan Kim , Alexander L. Fetter

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

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

We numerically study elongated helical spin textures in ferromagnetic spin-1 Bose-Einstein condensates subject to dipolar interparticle forces. Stationary states of the Gross-Pitaevskii equation are solved and analyzed for various values of…

Quantum Gases · Physics 2010-12-22 J. A. M. Huhtamäki , P. Kuopanportti

We find one-, two-, and three-component solitons of the polar and ferromagnetic (FM) types in the general (non-integrable) model of a spinor (three-component) model of the Bose-Einstein condensate (BEC), based on a system of three…

Pattern Formation and Solitons · Physics 2007-05-23 Lu Li , Zaidong Li , Boris A. Malomed , Dumitru Mihalache , W. M. Liu

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 static properties, i.e., existence and stability, as well as the quench-induced dynamics of vortex-bright type excitations in two-dimensional harmonically confined spin-1 Bose-Einstein condensates are investigated. Linearly stable…

Quantum Gases · Physics 2023-03-03 G. C. Katsimiga , S. I. Mistakidis , K. Mukherjee , P. G. Kevrekidis , P. Schmelcher
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