Classical analogs for Rabi-oscillations, Ramsey-fringes, and spin-echo in Josephson junctions

Abstract

We investigate the results of recently published experiments on the quantum behavior of Josephson circuits in terms of the classical modelling based on the resistively and capacitively-shunted (RCSJ) junction model. Our analysis shows evidence for a close analogy between the nonlinear behavior of a pulsed microwave-driven Josephson junction at low temperature and low dissipation and the experimental observations reported for the Josephson circuits. Specifically, we demonstrate that Rabi-oscillations, Ramsey-fringes, and spin-echo observations are not phenomena with a unique quantum interpretation. In fact, they are natural consequences of transients to phase-locking in classical nonlinear dynamics and can be observed in a purely classical model of a Josephson junction when the experimental recipe for the application of microwaves is followed and the experimental detection scheme followed. We therefore conclude that classical nonlinear dynamics can contribute to the understanding of relevant experimental observations of Josephson response to various microwave perturbations at very low temperature and low dissipation.

16 pages, 7 figures

References in corpus (5)

• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• Rabi-type oscillations in a classical Josephson junction
• Coherent control of a flux qubit by phase-shifted resonant microwave pulses
• Classical analysis of phase-locking transients and Rabi-type oscillations in microwave-driven Josephson junctions
• Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical Josephson Junction

Cited by in corpus (2)

• A Classical Analysis of Capacitively Coupled Superconducting Qubits
• Investigation of resonant and transient phenomena in Josephson junction flux qubits