Entanglement from Filtered Probabilities

Professor Yannick Meurice; Department of Physics and Astronomy, University of Iowa

In recent years, simulators for lattice gauge theory and particle event generators have been proposed by making use of Rydberg atom arrays. In particular, ladder-shaped arrays can be used to approximate scalar QED in 1+1 dimensions. This quantum simulator has a rich phase diagram which has been explored experimentally using QuEra facilities. We report recent results regarding the observation of a floating phase (2401.08087) and the derivation of an effective Hamiltonian (2312.04436) for the simulator. Entanglement entropy plays a crucial role in the determination of the phase diagram discussed. We describe a recent proposal (2404.09935 ) to extract the entanglement entropy with user-driven QuEra measurements of a single copy of the system. We show empirically that this estimation provides a lower bound which becomes tighter when the empirical probabilities are filtered.