Scaling of quantum Zeno dynamics in thermodynamic systems
  We study the quantum Zeno effect (QZE) in two many-body systems, namely the one-dimensional transverse-field Ising model and the Lipkin-Meshkov-Glick (LMG) model, coupled to a central qubit. Our result shows that in order to observe QZE in the Ising model, the frequency of the projective measurement should be of comparable order to that of the system sizes. The same criterion also holds in the symmetry broken phase of the LMG model while in the model's polarized phase, the QZE can be easily observed. 
Wing Chi Yu, Li-Gang Wang, Shi-Jian Gu, and Hai-Qing Lin
cond-mat.str-el quant-ph