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We investigate the dynamics of a kicked particle in an infinite square wellundergoing frequent measurements of energy. For a large class of periodickicking force, constant diffusion is found in such a non-KAM system. Theinfluence of phase shift of the kicking potential on the short-time dynamicalbehavior is discussed. The general asymptotical measurement-assisted diffusionrate is obtained. The entanglement between the particle and the measuringapparatus is investigated. There exist two distinct dynamical behaviors ofentanglement. The bipartite entanglement grows with the kicking steps and itgains larger value for the more chaotic system. However, the pairwiseentanglement between the system of interest and the partial spins of themeasuring apparatus decreases with the kicking steps. The relation between theentanglement and quantum diffusion is also analyzed.  PACS numbers: 05.45.Mt, 03.65.TaComment: 7 pages, 5 figures, RevTex4, Accepted by Phys. Rev.

Diffusion and entanglement of a kicked particle in an infinite square well under frequent measurements