Sensing electric fields through Rydberg atom networks

Abstract: We present the operating principle of a quantum sensor for electric fields based on networks of Rydberg atoms. The sensing mechanism exploits the dependence of the Rydberg blockade on the electric field, particularly in the vicinity of the F\"{o}rster resonance - the electric field can be measured through the variation in the size of the blockade radius across the network of Rydberg atoms. Specifically, we track the dynamics of Rydberg excitations in systems of various spatial structures, subjected to different electric field configurations, to monitor the connection between the field and blockade. We also use the density-density correlator to analyse spatially varying (inhomogeneous) electric fields and relate these correlators to the applied fields.