Equatorial waves in rotating bubble-trapped superfluids

Li, Guangyao; Efimkin, Dmitry K.

doi:10.1103/physreva.107.023319

Cited by 10 publications

(1 citation statement)

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“…It was shown, that they are topologically trapped by the "interface" between the two hemispheres of Earth [13]. This observation has paved the way for new studies of topologically protected waves on surfaces in various physical systems [14][15][16] and gauge formulation of hydrodynamic equations [17][18][19]. In general most research on topological materials has focused on flat spaces, while it is known that curvature (real or effective) may play an important role in the study of an electronic system [20][21][22].…”

Section: Introductionmentioning

confidence: 96%

Unveiling topological modes on curved surfaces

Ageev,

Iliasov

2024

Phys. Rev. B

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In this paper, we investigate topological modes of different physical systems defined on arbitrary twodimensional spatial curved surfaces. We consider the shallow water equations, inhomogeneous Maxwell's equations, and the Jackiw-Rebbi model and show how the topological protection mechanism responds to the presence of curvature in different situations. We show the existence of a line gap in the considered models and study the condition on the curve, which can host topological modes.

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Section: Introductionmentioning

confidence: 96%

Unveiling topological modes on curved surfaces

Ageev,

Iliasov

2024

Phys. Rev. B

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Low-dimensional quantum gases in curved geometries

Tononi

Salasnich

2023

Nat Rev Phys

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Density waves of vortex fluids on a sphere

Xiong,

Zou,

Luo

2024

Commun. Theor. Phys.

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We aim to find one highly nontrivial example of the solutions to the vortex fluid dynamical equation on the unit sphere (S^2) and compare it with the numerical simulation. Since the rigid rotating steady solution for vortex fluids on S^2 isalready known to us, we consider the perturbations above it. After decomposing the perturbation of the vortex number density and vortex charge density into spherical harmonics, we find that the perturbations are propagating waves. Tobe precise, the velocities for different single-mode vortex number density waves are all the same, while the velocities for single-mode vortex charge density waves depend on the degree of the spherical harmonics l, which is a signal of the existence of dispersion. Meanwhile, we find that there is a beat phenomenon for the positive (or negative) vortex density wave. Numerical simulation based on the canonical equations for point vortex model agrees perfectly with our theoretical calculations.

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Equatorial waves in rotating bubble-trapped superfluids

Cited by 10 publications

References 50 publications

Unveiling topological modes on curved surfaces

Unveiling topological modes on curved surfaces

Low-dimensional quantum gases in curved geometries

Density waves of vortex fluids on a sphere

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