Dynamical preparation of laser-excited anisotropic Rydberg crystals in   2D optical lattices
  We describe the dynamical preparation of anisotropic crystalline phases obtained by laser-exciting ultracold Alkali atoms to Rydberg p-states where they interact via anisotropic van der Waals interactions. We develop a time- dependent variational mean field ansatz to model large, but finite two-dimensional systems in experimentally accessible parameter regimes, and we present numerical simulations to illustrate the dynamical formation of anisotropic Rydberg crystals. 
Beno\^it Vermersch, Matthias Punk, Alexander W. Glaetzle, Christian   Gross and Peter Zoller
cond-mat.quant-gas quant-ph