1207.5892 (Tapio Simula)

Zero-energy states in rotating trapped Bose-Einstein condensates    [PDF]

Tapio Simula

We solve the quasiparticle excitation spectrum of a rotating three-dimensional Bose-Einstein condensate whose ground state is pierced by seven singly quantized vortex filaments. We find the elementary excitation spectrum of this system to harbour a quasiparticle with zero excitation energy. This quasiparticle is degenerate with the rotating ground state and may be described as a massless Nambu--Goldstone mode or a Majorana boson. Macroscopic population in such a state corresponds to a Bose--Einstein condensate of Tkachenko vortex wave quanta.

View original: http://arxiv.org/abs/1207.5892