Optical lattice: formed by counterpropagating beams Splitting, reflecting and diffracting matter waves decelerating a supersonic molecular beam Bose-/Fermi- Hubbard model (Quantum simulation of strongly correlated many-body systems Precision measurementOptical lattice: formed by counterpropagating beams. Splitting, reflecting and diffracting matter waves. decelerating a supersonic molecular beam Bose-/Fermi- Hubbard model (Quantum simulation of strongly correlated many-body systems) Precision measurement