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

2007/08/01 by Jeffrey E. Marchese, M. Cirillo, Matteo Cirillo +2
Computer Science · Physics and Astronomy · #Condensed matter physics #Dissipation #Josephson effect #Mechanical and Optical Resonators #Microwave #Neural Networks and Reservoir Computing #Nonlinear system #Physics #Pi Josephson junction #Quantum #Quantum Information and Cryptography #Quantum mechanics #Rabi cycle #Superconductivity #cond-mat.stat-mech #cond-mat.supr-con

paper · pdf · doi:10.1140/epjst/e2007-00216-6

published as European Physical Journal -- Special Topics, Vol.147, pp.333-342 (2007) · 16 pages, 7 figures

openalex publication_date 2007/08/01 · arxiv created 2007/08/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations