  We investigate the dynamics of a kicked particle in an infinite square well
undergoing frequent measurements of energy. For a large class of periodic
kicking force, constant diffusion is found in such a non-KAM system. The
influence of phase shift of the kicking potential on the short-time dynamical
behavior is discussed. The general asymptotical measurement-assisted diffusion
rate is obtained. The entanglement between the particle and the measuring
apparatus is investigated. There exist two distinct dynamical behaviors of
entanglement. The bipartite entanglement grows with the kicking steps and it
gains larger value for the more chaotic system. However, the pairwise
entanglement between the system of interest and the partial spins of the
measuring apparatus decreases with the kicking steps. The relation between the
entanglement and quantum diffusion is also analyzed.
  PACS numbers: 05.45.Mt, 03.65.Ta
