Three-dimensional skyrmions in spin-2 Bose–Einstein condensates

Tiurev, Konstantin; Ollikainen, Tuomas; Kuopanportti, Pekko; Nakahara, Mikio; Hall, D. S.; Möttönen, Mikko

doi:10.1088/1367-2630/aac2a8

Cited by 29 publications

(17 citation statements)

References 57 publications

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“…It thus constitutes a four-dimensional analogue of the interacting fixed point of the three-dimensional model in Eq. (36). Hence, both the structure of the beta-functions and the fixed points of the RG flow obtained here are similar to those obtained in Sec.…”

Section: A Three-dimensional Modelsupporting

confidence: 87%

“…We emphasize that the matrix field theory considered here is distinct from matrix models considered in the context of superfluid He-3 [29] or high energy physics [30][31][32], because in these cases the fluctuating matrix field is not restricted to be symmetric and traceless. The physics discussed here may also be observed in spin-2 Bose-Einstein condensates of ultracold atoms [33][34][35][36].…”

Section: Introductionmentioning

confidence: 75%

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Critical phenomena at the complex tensor ordering phase transition

Boettcher¹,

Herbut²

2018

Phys. Rev. B

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We investigate the critical properties of the phase transition towards complex tensor order that has been proposed to occur in spin-orbit coupled superconductors. For this purpose we formulate the bosonic field theory for fluctuations of the complex irreducible second-rank tensor order parameter close to the transition. We then determine the scale dependence of the couplings of the theory by means of the perturbative Renormalization Group (RG). For the isotropic system we generically detect a fluctuation-induced first-order phase transition. The initial values for the running couplings are determined by the underlying microscopic model for the tensorial order. As an example we study three-dimensional Luttinger semimetals with electrons at a quadratic band touching point. Whereas the strong-coupling transition of the model receives substantial fluctuation corrections, the weakcoupling transition at low temperatures is rendered only weakly first-order due to the presence of a fixed point in the vicinity of the RG trajectory. If the number of fluctuating complex components of the order parameter is reduced by cubic anisotropy, the theory maps onto the field theory for frustrated magnetism.

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Section: A Three-dimensional Modelsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 75%

Critical phenomena at the complex tensor ordering phase transition

Boettcher¹,

Herbut²

2018

Phys. Rev. B

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“…In these solid-state magnetic materials, the particle-like topological excitations described by the Hopf invariant—hopfions in Fig. 1 (or knots [ 28 ])—are suggested for spintronics applications [ 29 , 30 ].…”

Section: D Skyrmion Glassesmentioning

confidence: 99%

Spin, Orbital, Weyl and Other Glasses in Topological Superfluids

et al. 2018

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One of the most spectacular discoveries made in superfluid He confined in a nanostructured material like aerogel or nafen was the observation of the destruction of the long-range orientational order by a weak random anisotropy. The quenched random anisotropy provided by the confining material strands produces several different glass states resolved in NMR experiments in the chiral superfluid He-A and in the time-reversal-invariant polar phase. The smooth textures of spin and orbital order parameters in these glasses can be characterized in terms of the randomly distributed topological charges, which describe skyrmions, spin vortices and hopfions. In addition, in these skyrmion glasses the momentum-space topological invariants are randomly distributed in space. The Chern mosaic, Weyl glass, torsion glass and other exotic topological states are examples of close connections between the real-space and momentum-space topologies in superfluid He phases in aerogel.

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“…Three-dimensional skyrmions were recently realized in a spin-1 BEC by spin rotation with a controlled magnetic field [13]. Theoretically, several schemes to generate skyrmions in multicomponent BECs have been proposed: Rabi transitions with topological phases [7], spin rotation by a fictitious or real magnetic field [8,[14][15][16], capillary instability [17], spin-orbit coupling [18,19], decay of domain walls [20], and light-matter coupling [21]. The stability and dynamics of skyrmions have also been studied [22][23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic generation of skyrmions in a two-component Bose-Einstein condensate

Sakaguchi,

Jimbo,

Saito

2021

Preprint

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When an obstacle is moved in a superfluid faster than a critical velocity, quantized vortices are generated behind the obstacle. Here we propose a method to create more complicated topological excitations, three-dimensional skyrmions, behind a moving obstacle. We numerically show that, in a two-component Bose-Einstein condensate, component-dependent obstacle potentials can generate skyrmions in the wake, made up of quantized vortex rings in different components that are linked with each other. The lifetime of generated skyrmions can be prolonged by a guiding potential, which enables the formation of a skyrmion train. II. SKYRMION IN A TWO-COMPONENT BOSE-EINSTEIN CONDENSATEWe consider a two-component BEC at zero temperature, described by the macroscopic wave functions ψ 1 (r, t) and ψ 2 (r, t) in the mean-field approximation. The two-component wave functions can generally be writ-

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Three-dimensional skyrmions in spin-2 Bose–Einstein condensates

Cited by 29 publications

References 57 publications

Critical phenomena at the complex tensor ordering phase transition

Critical phenomena at the complex tensor ordering phase transition

Spin, Orbital, Weyl and Other Glasses in Topological Superfluids

Hydrodynamic generation of skyrmions in a two-component Bose-Einstein condensate

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