This talk will be on charged spin-1/2 particles in two
dimensions, subject to a non-Abelian magnetic field. A quick
review will be given on artificial gauge potentials in the
cold atomic setting, which is an ideal simulator of our
desired system of charged particles. Next, the
single-particle spectrum on the plane and sphere geometry is
presented in the presence of a uniform non-Abelian gauge
potential. The final part of this talk will deal with the
adiabatic insertion of non-Abelian flux in a spin-polarized
integer quantum Hall state, leading to the formation of
quantum Hall Skyrmions. The results presented here can be
found in our recently published paper:
B. Estienne, S.M. Haaker and K. Schoutens, New J. Phys. 13
045012 (2011)

Roslagstullsbacken 23
106 91 Stockholm
Sweden