Excitation spectrum of a toroidal spin-1 Bose-Einstein condensate

Abstract

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 $m_F=\pm 1$ 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.

5 pages, 2 figures; v2: 9 pages, 6 figures, revised and extended version

References in corpus (8)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
• Driving phase slips in a superfluid atom circuit with a rotating weak link
• Persistent currents in spinor condensates
• Critical Rotation of an Annular Superfluid Bose Gas
• Critical velocity for a toroidal Bose-Einstein condensate flowing through a barrier
• Persistent currents in a bosonic mixture in the ring geometry
• Stabilization and pumping of giant vortices in dilute Bose-Einstein condensates

Cited by in corpus (4)

• Stability of persistent currents in spinor Bose-Einstein condensates
• Persistent currents in coherently coupled Bose-Einstein condensates in a ring trap
• Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow
• Metastable spin textures and Nambu-Goldstone modes of a ferromagnetic spin-1 Bose-Einstein condensate confined in a ring trap