Schwinger-Keldysh field theory for operator Rényi entropy and entanglement growth in non-interacting systems with sub-ballistic transports
This paper develops a unified Schwinger-Keldysh field theory framework to characterize operator growth and entanglement dynamics in non-interacting disordered systems, demonstrating how subsystem operator Rényi entropy serves as a state-independent probe that directly links transport behaviors—ranging from ballistic and anomalous diffusion to localization—to the generation of entanglement.