2015/01/31 by Daisuke Takahashi, Daisuke A. Takahashi, Michikazu Kobayashi +1 · 32 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dispersion (optics) #Dispersion relation #Domain (mathematical analysis) #Mathematical analysis #Mathematics #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Superconductivity #Superfluidity #Topological defect #Topology (electrical circuits) #Vortex #cond-mat.other #cond-mat.quant-gas #hep-th
paper · pdf · doi:10.1103/physrevb.91.184501
published in Physical Review B 91(18) (American Physical Society) · 20 pages, 12 figures, 1 table, final version published in Phys. Rev. B
arxiv created 2015/05/04 · openalex publication_date 2015/05/04 · arxiv updated 2015/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Nambu-Goldstone modes associated with (topological) defects such as vortices and domain walls in (super)fluids are known to possess quadratic/noninteger dispersion relations in finite/infinite-size systems. Here, we report interpolating formulas connecting the dispersion relations in finite- and infinite-size systems for Kelvin modes along a quantum vortex and ripplons on a domain wall in superfluids. Our method can provide not only the dispersion relations but also the explicit forms of quasiparticle wave functions (u,v). We find a complete agreement between the analytical formulas and numerical simulations. All these formulas are derived in a fully analytical way, and hence not empirical ones. We also discuss common structures in the derivation of these formulas and speculate on the general procedure.