Chaotic dynamics in the rf superconducting quantum-interference-device magnetometer: A coupled quantum-classical system

Abstract

In this paper, we discuss the nonlinear behavior of a model rf superconducting quantum-interference-device magnetometer consisting of a macroscopic quantum object which is coupled reactively to a linear classical oscillator. We demonstrate that chaotic solutions can be found in the oscillator for the ground and first excited states of the quantum object over a wide range of parameters, including those relevant to experimental systems.