Measurement-altered quantum criticality in Rydberg atom arrays

Quantum critical points are highly sensitive to perturbations, making them ideal for exploring novel measurement-induced effects. In this talk, I will discuss how weakly measuring quantum critical chains can qualitatively impact their correlations and entanglement structure in a manner dependent on the protocol. I will then present a proposal for a practical experimental realization using Rydberg atom chains tuned to Ising and tricritical Ising quantum critical points. In particular, projectively measuring a periodic subset of atoms alters quantum critical correlations in distinct ways that one can control via the choice of measured sites and the measurement outcomes. While the method relies on post-selection, we find that some of the most impactful outcomes occur with relatively high probability (~10%) in systems with around 100 sites. As a direct application of these ideas, I will conclude discussing the effect of imperfections when teleporting quantum critical states between two different labs.