Time dependence of Rydberg EIT in pulsed optical and RF fields

We investigate the time dependence of atom-light and atom-RF field interactions in Rydberg electromagnetically-induced transparency (EIT) in a room-temperature and heated vapour cell. Quantum-optical transients are observed with rapid onset and dissolution of EIT induced by coupler-light pulses. The formulation and dissolution times of EIT, transient signals, and their dependencies on light intensities and Rydberg-atom density are studied. Simulations of pulsed EIT are performed by solving a time-dependent three-level master equation, whose results are in excellent agreement with experimental observations, including accurately reproducing quantum-optical transients observed at both onset and dissolution. We explore the time-dependent response of EIT to RF fields resonant with a Rydberg-Rydberg transition. An upper limit to the fundamental atom-RF field response time and instantaneous RF detection bandwidth with EIT-based sensors and receivers is established.