Microwave radiation at criticality in a hybrid Josephson array

Anomalous metallic behavior is ubiquitously observed near superconductor-insulator quantum critical points and, if persistent to zero temperature, poses a challenge to current theories of metals. One explanation for this behavior could be incomplete thermal equilibrium between the sample and the cryostat. However, despite decades of study, the actual temperature of an anomalous metallic sample has not been measured. We therefore introduce a new experimental probe by measuring microwave radiation emitted from the anomalous metal, using a two-dimensional array of superconductor-semiconductor hybrid Josephson junctions as a model system. The total emitted radiation exceeds the limits of thermodynamic equilibrium, but is well described by an elevated sample temperature. This extracted sample temperature matches the onset of anomalous metallic behavior. Additionally, we discover scaling behavior of radiative noise in the presence of an applied bias. Elements of our noise-scaling observations were predicted based on nonlinear critical field theories and gauge-gravity duality. This work shows that, in a prominent model system, anomalous metallic behavior is a non-equilibrium effect, and opens a new frontier in the study of universal, non-equilibrium phenomena near quantum criticality.