2013/01/31 by H. Mäkelä, Emil Lundh, E. Lundh
Physics and Astronomy · #Atomic physics #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Excitation #Hyperfine structure #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Plasma #Quantum mechanics #Quantum, superfluid, helium dynamics #Spin (aerodynamics) #Toroid #Vortex #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.88.033622
published as Phys. Rev. A 88, 033622 (2013) · 5 pages, 2 figures; v2: 9 pages, 6 figures, revised and extended version
arxiv created 2013/09/19 · openalex publication_date 2013/09/19 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate analytically the Bogoliubov excitation spectrum of a toroidal spin-1 Bose-Einstein condensate that is subjected to a homogeneous magnetic field and contains vortices with arbitrary winding numbers in the mF=\ifmmode±\else\textpm\fi1 components of the hyperfine spin. We show that a rotonlike spectrum can be obtained, or an initially stable condensate can be made unstable by adjusting the magnitude of the magnetic field or the trapping frequencies. The structure of the instabilities can be analyzed by measuring the particle densities of the spin components. We confirm the validity of the analytical calculations by numerical simulations.