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We present experimental evidence of the successful closed-loop optimizationof the dynamics of cold atoms in an optical lattice. We optimize the loading ofan ultracold atomic gas minimizing the excitations in an array ofone-dimensional tubes (3D-1D crossover) and we perform an optimal crossing ofthe quantum phase-transition from a Superfluid to a Mott-Insulator in athree-dimensional lattice. In both cases we enhance the experiment performanceswith respect to those obtained via adiabatic dynamics, effectively speeding upthe process by more than a factor three while improving the quality of thedesired transformation.

Fast closed-loop optimal control of ultracold atoms in an optical lattice