Vibrational state inversion of a Bose-Einstein condensate: optimal   control and state tomography
  We present theoretical and experimental results on high-fidelity transfer of a trapped Bose-Einstein condensate into its first vibrationally excited eigenstate. The excitation is driven by mechanical motion of the trap, along a trajectory obtained from optimal control theory. Excellent agreement between theory and experiment is found over a large range of parameters. We develop an approximate model to map the dynamics of the many-body condensate wave function to a driven two-level system. 
Robert B\"ucker and Tarik Berrada and Sandrine van Frank and   Jean-Fran\c{c}ois Schaff and Thorsten Schumm and J\"org Schmi...
cond-mat.quant-gas quant-ph