Quantum Simulation with Cold Atoms: Successes and Challenges

Quantum Simulation with cold atoms is a very ambitious program in AMO research that is being pursued in many laboratories worldwide. The goal is to use cold atoms in optical lattices and in different environment to simulate important yet unsolved theoretical models. In this talk, I shall review the current progress of this effort, its success, and the serious challenges it faces. I shall discuss the possible solutions and the exciting future it holds.