Y. S. Patil, H. F. H. Cheung, T. Villazon, A. G. Date, A. Polkovnikov, A. Chandran, and M. Vengalattore
Through steady state measurements of divergent susceptibilities and critical exponents, we experimentally establish a continuous phase transition in a paradigmatic two-mode driven-dissipative system of a pair of nondegenerate, parametrically coupled, optomechanical oscillators. We demonstrate that universality near the transition manifests in the out-of-equilibrium dynamics of slow ramps across the transition, and is captured qualitatively and quantitatively by Kibble-Zurek scaling laws with two scaling parameters. We further investigate the influence of the system-bath interactions on the critical behavior by engineering power-law non-Markovian system-bath interactions through an active feedback protocol. While this non-Markovian system-bath interactions changes critical exponents, both the Kibble-Zurek paradigm and universality of the dynamics remain valid. We thus show that non-equilibrium ramps can be used to extract universal exponents in driven dissipative systems, opening new avenues to study the theoretically challenging cases of system-bath interactions and their influence on critical phenomena.