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We systematically and analytically construct a set of spinor wave functions representing defects and textures that continuously penetrate interfaces between coexisting, topologically distinct magnetic phases in a spin-2 Bose-Einstein…

A central goal in condensed matter and modern atomic physics is the exploration of many-body quantum phases and the universal characteristics of quantum phase transitions in so far as they differ from those established for thermal phase…

Statistical Mechanics · Physics 2009-11-11 L. E. Sadler , J. M. Higbie , S. R. Leslie , M. Vengalattore , D. M. Stamper-Kurn

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 provide a detailed description of our previously proposed scheme for topological interface engineering with constructed defects and textures perforating across coherent interfaces between different broken symmetries [M. O. Borgh and J.…

Quantum Gases · Physics 2013-04-23 Magnus O. Borgh , Janne Ruostekoski

Persistent topological defects and textures are particularly dramatic consequences of superfluidity. Among the most fascinating examples are the singular vortices arising from the rotational symmetry group SO(3), with surprising topological…

Quantum Gases · Physics 2020-07-01 L. S. Weiss , M. O. Borgh , A. Blinova , T. Ollikainen , M. Möttönen , J. Ruostekoski , D. S. Hall

We show how a singly quantized vortex can exhibit energetically stable defect cores with different symmetries in an atomic spin-1 polar Bose-Einstein condensate, and how a stable topologically nontrivial Skyrmion texture of lower…

Quantum Gases · Physics 2016-03-01 Magnus O. Borgh , Muneto Nitta , Janne Ruostekoski

We investigate the topological defects in atomic spin-1 and spin-2 Bose-Einstein condensates by applying the homotopy group theory. With this rigorous approach we clarify the previously controversial identification of symmetry groups and…

Soft Condensed Matter · Physics 2016-08-16 Yunbo Zhang , Harri Mäkelä , Kalle-Antti Suominen

We consider the topological defects and spin structures of spin-1 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) and dipole-dipole interaction (DDI) in a rotating harmonic plus quartic trap. The combined effects of SOC, DDI…

Quantum Gases · Physics 2020-10-27 Ning Su , Qingbo Wang , Jinguo Hu , Xianghua Su , Linghua Wen

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

In this Letter we study discrete symmetries of mean field manifolds of condensates of F=2 cold atoms, and various unconventional quantum vortices. Discrete quaternion symmetries result in two species of spin defects that can only appear in…

Other Condensed Matter · Physics 2008-11-26 Gordon W. Semenoff , Fei Zhou

We propose an experimentally feasible scheme for topological interface engineering and show how it can be used for studies of dynamics of topologically nontrivial interfaces and perforation of defects and textures across such interfaces.…

Quantum Gases · Physics 2012-07-04 Magnus O. Borgh , Janne Ruostekoski

We show how the length scale hierarchy, resulting from different interaction strengths in an optically-trapped spin-1 sodium-23 Bose-Einstein condensate, can lead to intriguing core deformations in singular topological defects. In…

Soft Condensed Matter · Physics 2009-11-10 J. Ruostekoski , J. R. Anglin

Under the presence of external magnetic fields with cylindrical symmetry, Skyrmion-string defects with arbitrary topological charges are shown to appear in spinor $F = 1$ Bose-Einstein condensates. We show that, depending on the magnetic…

Quantum Gases · Physics 2018-02-14 R. Zamora-Zamora , V. Romero-Rochín

Cold atoms experiments offer invaluable information on superfluid dynamics, including decay cascades of topological defects. While the cascade properties are well established for Bose systems, our understanding of their behavior in Fermi…

Quantum Gases · Physics 2018-06-27 Gabriel Wlazłowski , Kazuyuki Sekizawa , Maciej Marchwiany , Piotr Magierski

Theoretical study is presented for a spinor Bose-Einstein condensate, whose two components are coupled by copropagating Raman beams with different orbital angular momenta. The investigation is focused on the behavior of the ground state of…

Quantum Gases · Physics 2021-01-04 Y. Duan , Y. M. Bidasyuk , A. Surzhykov

We demonstrate theoretically that using standard external magnetic fields, one can imprint point-like topological defects to the spin texture of a dilute Bose-Einstein condensate. Symmetries of the condensate order parameter render this…

Other Condensed Matter · Physics 2010-03-25 Ville Pietilä , Mikko Möttönen

One of the excitements generated by the cold atom systems is the possibility to realize, and explore, varied topological phases stemming from multi-component nature of the condensate. Popular examples are the antiferromagnetic (AFM) and the…

Quantum Gases · Physics 2014-04-29 Yun-Tak Oh , Panjin Kim , Jin-Hong Park , Jung Hoon Han

We propose to use spatial control of the Zeeman energy shifts in an ultracold atomic gas to engineer an interface between topologically distinct regions. This provides an experimentally accessible means for studying the interface physics of…

Quantum Gases · Physics 2014-05-26 Magnus O. Borgh , Justin Lovegrove , Janne Ruostekoski

We investigate the structure of topological defects in the ground states of spinor Bose-Einstein condensates with spin F=1 or F=2. The type and number of defects are determined by calculating the first and second homotopy groups of the…

Soft Condensed Matter · Physics 2016-08-16 H. Mäkelä , Y. Zhang , K. -A. Suominen

When two or more energy bands become degenerate at a singular point in the momentum space, such singularity, or ``Dirac points", gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points…

Quantum Gases · Physics 2025-09-09 Yunda Li , Wei Han , Zengming Meng , Wenxin Yang , Cheng Chin , Jing Zhang
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