Nambu-Goldstone Mode in a Rotating Dilute Bose-Einstein Condensate

The Nambu-Goldstone mode, associated with vortex nucleation in a harmonically confined, two-dimensional dilute Bose-Einstein condensate, is identified with the lowest-lying envelope of octupole-mode branches, which are separated from each other by the admixture of quadrupolar excitations. As the vortex approaches the center of the condensate and the system's axisymmetry is restored, the Nambu-Goldstone mode becomes massive due to its coupling to higher rotational bands.