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Knot Solitons in Spinor Bose-Einstein Condensates

David S. Hall, Michael Ray, Konstantin Tiurev +3 more

Bulletin of the American Physical SocietyMay 25, 20160 citations

Creation of Knots in Two-component Bose-Einstein Condensates

Y.M. Cho

Dec 18, 20010 citations

3D skyrmion and knot in two-component Bose–Einstein condensates

Yong-Kai Liu, Cong Zhang, Shi-Jie Yang

Physics Letters AOct 23, 201310 citations

Knots in a Spinor Bose-Einstein Condensate

Yuki Kawaguchi, Muneto Nitta, Masahito Ueda

We show that knots of spin textures can be created in the polar phase of a spin-1 Bose-Einstein condensate, and discuss experimental schemes for their generation and probe, together with their lifetime.

arXiv:0802.1968Physical Review LettersMay 7, 2008149 citations

Imprinting knots in a spinor Bose-Einstein condensate via a Raman process without knotted optical fields

Zekai Chen, Elisha Haber, N. P. Bigelow

We propose a dynamical imprinting scheme to create nodal lines of torus and lemniscate knots via a Raman process in a dilute spinor Bose-Einstein condensate. We calculate the desired parameters and the necessary spatial profiles of the Raman laser fields that couple a realistic multilevel atomic system, and demonstrate the imprinting results via a numerical calculation. Additionally, we show the capability of our method to adjust the size and the aspect ratio of the knotted nodal lines by tuning the parameters of Raman lasers that propagate along different directions.We propose a dynamical imprinting scheme to create nodal lines of torus and lemniscate knots via a Raman process in a dilute spinor Bose-Einstein condensate. We calculate the desired parameters and the necessary spatial profiles of the Raman laser fields that couple a realistic multilevel atomic system, and demonstrate the imprinting results via a numerical calculation. Additionally, we show the capability of our method to adjust the size and the aspect ratio of the knotted nodal lines by tuning the parameters of Raman lasers that propagate along different directions.

Physical Review ResearchNov 15, 20221 citation

Topological Excitations in Spinor Bose-Einstein Condensates

Yuki Kawaguchi, Michikazu Kobayashi, Muneto Nitta +1 more

A rich variety of order parameter manifolds of multicomponent Bose-Einstein condensates (BECs) admit various kinds of topological excitations, such as fractional vortices, monopoles, skyrmions, and knots. In this paper, we discuss two topological excitations in spinor BECs: non-Abelian vortices and knots. Unlike conventional vortices, non-Abelian vortices neither reconnect themselves nor pass through each other, but create a rung between them in a topologically stable manner. We discuss the collision dynamics of non-Abelian vortices in the cyclic phase of a spin-2 BEC. In the latter part, we show that a knot, which is a unique topological object characterized by a linking number or a Hopf invariant [π3 (S2) = Z], can be created using a conventional quadrupole magnetic field in a cold atomic system.A rich variety of order parameter manifolds of multicomponent Bose-Einstein condensates (BECs) admit various kinds of topological excitations, such as fractional vortices, monopoles, skyrmions, and knots. In this paper, we discuss two topological excitations in spinor BECs: non-Abelian vortices and knots. Unlike conventional vortices, non-Abelian vortices neither reconnect themselves nor pass through each other, but create a rung between them in a topologically stable manner. We discuss the collision dynamics of non-Abelian vortices in the cyclic phase of a spin-2 BEC. In the latter part, we show that a knot, which is a unique topological object characterized by a linking number or a Hopf invariant [π3 (S2) = Z], can be created using a conventional quadrupole magnetic field in a cold atomic system.

arXiv:1006.5839Progress of Theoretical Physics SupplementOct 1, 201026 citations

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