Physical simulation as a means for resolving outstanding quantum many-body problems was first proposed by Feynmann in 1981. Since then,physicists have dreamed of using physical quantum simulation as a quantitative tool. Ultra-cold atoms trapped in an optical lattice are now emerging as an ideal tool for quantum simulation of a wide range of many-body quantum models, including the Hubbard model and quantum magnetism. I will review the developing field of quantum simulation using ultra-cold atoms and highlight our progress on simulating quantum magnetism, transport in the Bose-Hubbard model, and the disordered Bose-Hubbard model.
10 Minute Talk: Towards Spin Squeezing with Cold Atoms in an Optical Cavity