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We show that a multiply-quantized vortex line core can be energetically stable in a harmonically trapped two-component atomic Bose-Einstein condensate. The structure, in which the condensate component with the vortex line is surrounded by…

Other Condensed Matter · Physics 2009-11-10 J. Ruostekoski

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

A skyrmion state in a non-centrosymmetric helimagnet displays topologically protected spin textures with profound technological implications for high density information storage, ultrafast spintronics, and effective microwave devices.…

This paper develops and implements the stochastic projected Gross-Pitaevskii equation for spin-1 Bose gases, addressing key considerations for numerical simulations. As an application of the theory we explore equilibrium phases in a…

Quantum Gases · Physics 2025-08-19 Andrew P. C. Underwood , P. B. Blakie

Magnetic skyrmions are topologically protected solitons observed in various classes of real magnets. In two-dimensional systems, where the target space of local magnetization values is the two-sphere $S^2$, skyrmion textures are classified…

Strongly Correlated Electrons · Physics 2025-06-30 Fletcher Williams , David Dahlbom , Hao Zhang , Shruti Agarwal , Kipton Barros , Cristian D. Batista

Three-dimensional (3D) topological spin textures emerge as promising quasi-particles for encoding information in future spintronic devices. The third dimension provides more malleability regarding their magnetic properties as well as more…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Matthieu Grelier , Florian Godel , Aymeric Vecchiola , Sophie Collin , Karim Bouzehouane , Albert Fert , Vincent Cros , Nicolas Reyren

We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

Based on the numerical solutions of the coupled Gross-Pitaevskii equations, the spin-textures of a Bose-Einstein condensate with two kinds of spin-1 atoms have been studied. Besides, the probability densities of an atom in spin component…

Quantum Gases · Physics 2019-09-04 Y. Z. He , Y. M. Liu , C. G. Bao

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

The realization of magnetic skyrmions in nanostructures holds great promise for both fundamental research and device applications. Despite recent progress, intrinsic magnetic skyrmions in two-dimensional lattice are still rarely explored.…

Materials Science · Physics 2022-05-11 Wenhui Du , Kaiying Dou , Zhonglin He , Ying Dai , Baibiao Huang , Yandong Ma

Stable vortex solitons (VSs) are objects of great interest for fundamental studies and various applications, including particle trapping, microscopy, data encoding, and matter-wave gyroscopes. However, three-dimensional (3D) VSs with high…

Quantum Gases · Physics 2024-08-26 Yanchao Zhang , Chao Hang , Boris A. Malomed , Guoxiang Huang

Magnetic skyrmion, i.e. a topologically stable swirling spin texture, appears as a particle-like object in the two-dimensional (2D) systems, and has recently attracted attention as a candidate of novel information carrier. In the real…

Strongly Correlated Electrons · Physics 2022-02-16 S. Seki , M. Suzuki , M. Ishibashi , R. Takagi , N. D. Khanh , Y. Shiota , W. Koshibae , Y. Tokura , T. Ono

Spinful superfluids of ultracold atoms are ideal for investigating the intrinsic properties of spin current and texture because they are realized in an isolated, nondissipative system free from impurities, dislocations, and thermal…

Quantum Gases · Physics 2022-02-09 Hiromitsu Takeuchi

The effects of disorder on the robustness of topological magnon states of two-dimensional ferromagnetic skyrmions is investigated. It is diagnosed by evaluating a real space topological invariant, the bosonic Bott index (BI). The disorder…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 H. Diego Rosales , Roberto E. Troncoso

We investigate formation of Bose-Einstein condensates under non-equilibrium conditions using numerical simulations of the three-dimensional Gross-Pitaevskii equation. For this, we set initial random weakly nonlinear excitations and the…

Quantum Gases · Physics 2022-03-23 Vishwanath Shukla , Sergey Nazarenko

Magnetic Skyrmions belong to the most interesting spin structures for the development of future information technology as they have been predicted to be topologically protected. To quantify their stability, we use an innovative multiscale…

Materials Science · Physics 2017-07-19 Andrea De Lucia , Kai Litzius , Benjamin Krüger , Oleg A. Tretiakov , Mathias Kläui

Recently, stripe phases in spin-orbit coupled Bose-Einstein condensates (BECs) have attracted much attention since they are identified as supersolid phases. In this paper, we exploit experimentally reachable parameters and show…

Quantum Gases · Physics 2020-05-26 N. -C. Chiu , Y. Kawaguchi , S. -K. Yip , Y. -J. Lin

We present numerical results for three-dimensional (3D) solitons with symmetries of the semi-vortex (SV) and mixed-mode (MM) types, which can be created in spinor Bose-Einstein condensates of Rydberg atoms under the action of the spin-orbit…

Quantum Gases · Physics 2023-11-02 Yuan Zhao , Heng-Jie Hu , Qian-Qian Zhou , Zhang-Cai Qiu , Li Xue , Si-Liu Xu , Qin Zhou , Boris A. Malomed

We introduce topological phases of matter defined by skyrmions in the ground state spin -- or pseudospin -- expectation value textures in the Brillouin zone, the chiral and helical topological skyrmion phases of matter. These phases are…

Superconductivity · Physics 2023-03-10 Ashley M. Cook

Stationary periodic solutions of the two-dimensional Gross-Pitaevskii equation are obtained and analyzed for different parameter values in the context of the problem of a supersonic flow of a Bose-Einstein condensate past an obstacle. The…

Pattern Formation and Solitons · Physics 2007-06-07 G. A. El , Yu. G. Gladush , A. M. Kamchatnov
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