Scaling of quantum Zeno dynamics in many-body systems

Abstract

We study the quantum Zeno effect (QZE) in a many-body system, namely the Lipkin–Meshkov–Glick model, coupled to a central qubit. Our result shows that in order to observe QZE in the symmetry-broken phase of the model, the frequency of the projective measurement should be of comparable order to that of the system sizes. However, in the polarized phase of the model, the QZE can be easily observed by frequent measurements.