Core-bound waves on a Gross-Pitaevskii vortex
Evan Papoutsis Nathan Apfel Nir Navon
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Abstract
We find the dispersion relations of two elusive families of core-bound excitations of the Gross-Pitaevskii (GP) vortex, varicose (axisymmetric) and fluting (quadrupole) waves. For wavelengths of order the healing length, these two families -- and the well-known Kelvin wave -- possess an infinite sequence of core-bound, vortex-specific branches whose energies lie below the Bogoliubov dispersion relation. In the short-wavelength limit, these excitations can be interpreted as particles radially bound to the vortex, which acts as a waveguide. In the long-wavelength limit, the fluting waves unbind from the core, the varicose waves reduce to phonons propagating along the vortex, and the fundamental Kelvin wave is the only core-bound vortex-specific excitation. Finally, we propose a realistic spectroscopic protocol for creating and detecting the varicose wave, which we test by direct numerical simulations of the GP equation.引用本文复制引用
Evan Papoutsis,Nathan Apfel,Nir Navon.Core-bound waves on a Gross-Pitaevskii vortex[EB/OL].(2026-03-05)[2026-03-07].https://arxiv.org/abs/2603.05505.学科分类
物理学
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