Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical Josephson Junction
Jeffrey E. Marchese, Matteo Cirillo, Niels Gr{\o}nbech-Jensen

TL;DR
This paper demonstrates that Ramsey-type fringe oscillations observed in Josephson junctions can be explained by classical nonlinear dynamics, challenging the notion that such phenomena are exclusively quantum.
Contribution
The study shows that classical nonlinear models can replicate Ramsey-type fringes in Josephson junctions, providing a new classical interpretation of these quantum-like phenomena.
Findings
Classical simulations reproduce Ramsey-type oscillations.
Ramsey fringes explained by slow transient oscillations.
Classical dynamics can mimic quantum behaviors in Josephson systems.
Abstract
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.
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