Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical   Josephson Junction
  We present evidence for a close analogy between the nonlinear behavior of a pulsed microwave-driven Josephson junction at low temperature and the experimentally observed behavior of Josephson systems operated below the quantum transition temperature under similar conditions. We specifically address observations of Ramsey-type fringe oscillations, which can be understood in classical nonlinear dynamics as results of slow transient oscillations in a pulsed microwave environment. Simulations are conducted to mimic experimental measurements by recording the statistics of microwave-induced escape events from the anharmonic potential well of a zero-voltage state. Observations consistent with experimentally found Ramsey-type oscillations are found in the classical model. 
Jeffrey E. Marchese, Matteo Cirillo, Niels Gr{\o}nbech-Jensen