Abstract
We compute using a microscopic mean-field theory the structure and the quasiparticle excitation spectrum of a dilute, trapped Bose–Einstein condensate penetrated by an axisymmetric vortex line. The Gross–Pitaevskii equation for the condensate and the coupled Hartree–Fock–Bogoliubov–Popov equations describing the elementary excitations are solved self-consistently using finite-difference methods. We find locally stable vortex configurations at all temperatures below T c.
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