Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
arXiv:2202.10924 · doi:10.1103/PhysRevB.106.144501
Abstract
We determine and analyze collective normal modes of a finite disk-shaped two-dimensional vortex crystal formed in a compressible bosonic superfluid in an artificial magnetic field. Using the microscopic Gross-Pitaevskii theory in the lowest Landau level approximation, we generate vortex crystal ground states and solve the Bogoliubov-de Gennes equations for small amplitude collective oscillations. We find chiral surface waves that propagate at frequencies larger than those of the bulk Tkachenko modes. Furthermore, we study low frequency bulk excitations and identify a torsional Ruderman mode, which we find is well-described by a previously developed low-energy effective field theory.
arXiv comment13 pages, 9 figures, V2 contains an appendix discussing external potentials; a supplementary video is found on YouTube via https://youtu.be/hb0aN2aNNbQ
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- Equatorial Waves in Rotating Bubble-Trapped Superfluids
- On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
- Rotating anisotropic Bose gas with large number of vortices
- Non-commutative effective field theory of the lowest Landau level superfluid
- Effective field theory for the superfluid vortex lattice from coset construction