The non-Abelian bosonic quantum ring
SUPA, Department of Physics, Heriot-Watt University, Edinburgh, EH14 4AS, UK
2 Institute of Theoretical Physics and Astronomy, Vilnius University, A. Gostauto 12, 01108 Vilnius, Lithuania
Corresponding author: a firstname.lastname@example.org
Revised: 12 February 2010
Published online: 12 May 2010
We investigate the dynamics of a spinor Bose-Einstein condensate which is governed by an optically induced non-Abelian gauge potential. Using a ring shaped trap to confine the atoms and a hydrodynamic ansatz, nonlinear Josephson type equations are found to describe the system. The degenerate eigenstates which show rotation are solved exactly. We consider a homogenous filled ring and observe population dynamics between the two quasi-spin components but also space dependent Josephson oscillations. Stable mass currents can be observed which are induced by the constant non-Abelian effective magnetic field in the limit of weak interactions. For strong interactions the appearance of two-component dark soliton-like objects are observed.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010