Bose-Einstein condensates (BEC’s) in a honeycomb optical lattice are described by a nonlinear Dirac equaton (NLDE) in the long wavelength, mean field limit [1].  The bipartite structure of the lattice appears as pseudospin in the multi-component BEC with states above and below the Dirac point...

We have recently proposed an experiment to cool to the ground state and create quantum superpositions of the center of mass motion of an optically levitating nanodielectric.  This can be achieved by exploiting the coupling between light and the mechanical motion, which is obtained when the object...