Measurement-Induced Information Freezing: A Numerical Exploration of Quantum Zeno Dynamics and Scrambling Suppression

We explore the Quantum Zeno Effect (QZE) as a dynamical mechanism for suppressing quantum information transport in open systems. Moving beyond the phenomenological decay of survival probabilities in zero-dimensional systems, we utilize a continuous measurement effective model governed by the Stochastic Schrödinger Equation (SSE). Our numerical investigations suggest that measurement-induced freezing can be mapped to the behavior of a Liouvillian Exceptional Point (EP). We demonstrate how this non-unitary backaction manifests in our simulations: from suppressing single-particle spatial transmission (showing a trend consistent with T ∝ γ^(-α)), to the qualitative reduction of information scrambling as indicated by the Tripartite Mutual Information (I₃ → 0). Finally, scaling this effective model to finite XXZ spin chains (N ≤ 10), our data indicates a transition-like behavior from volume-law to area-law entanglement scaling. While bounded by finite-size limitations, our results provide numerical evidence supporting the interpretation of Zeno dynamics as a suppressor of information geometry.