Investigation of resonant and transient phenomena in Josephson junction flux qubits

Abstract

We present an analytical and computational study of resonances and transient responses in a classical Josephson junction system. A theoretical basis for resonances in a superconducting loop with three junctions is presented, outlining both the direct relationship between the dynamics of single- and multi-junction systems, and the direct relationships between observations of the classical counterparts to Rabi oscillations, Ramsey fringes, and spin echo oscillations in this class of systems. We show simulations data along with analytical analyses of the classical model, and the results are related to previously reported experiments conducted on three junction loops. We further investigate the effect of off-resonant microwave perturbations to, e.g., the Rabi-type response of the Josephson system, and we relate this response back to the nonlinear and multi-valued resonance behavior previously reported for a single Josephson junction. The close relationships between single and multi-junction behavior demonstrates the underlying dynamical mechanism for a whole class of classical counterparts to expected quantum mechanical observations in a variety of systems; namely the resonant and transient behavior of a particle in an anharmonic potential well with subsequent escape.

11 pages, seven figures

References in corpus (11)

• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• Parametric control of a superconducting flux qubit
• Rabi-type oscillations in a classical Josephson junction
• Coherent control of a flux qubit by phase-shifted resonant microwave pulses
• Distinguishing quantum from classical oscillations in a driven phase qubit
• Classical analysis of phase-locking transients and Rabi-type oscillations in microwave-driven Josephson junctions
• Catastrophe observation in a Josephson junction system
• Ac-induced thermal vortex escape in magnetic-field-embedded long annular Josephson junctions
• Pseudo-Rabi oscillations in superconducting flux qubits in the classical regime
• Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical Josephson Junction
• Classical analogs for Rabi-oscillations, Ramsey-fringes, and spin-echo in Josephson junctions

Cited by in corpus (3)

• Gradiometric flux qubits with tunable gap
• A classical statistical model for distributions of escape events in swept-bias Josephson junctions
• Qubit-Photon Bound States in Superconducting Metamaterials