Quantum simulation of many body physics HI BHM ∑(b+He)+∑n(m1-1)-∑ Novel materials Optical Lattices Cuprate Superconductors Alkali atoms Quantum Magnets (Li, Na, K, Rb, Cs) Models Hubbard-Type Models Heisenberg-Type Models Qi Zhou et al, PRL 103, 085701(2009)Quantum simulation of many body physics Qi Zhou et al, PRL 103, 085701 (2009)