Jf. Ralph et al., THE NONLINEAR DYNAMICS OF A LINEAR CLASSICAL OSCILLATOR COUPLED TO A MACROSCOPIC QUANTUM OBJECT, International journal of modern physics b, 8(19), 1994, pp. 2637-2651
In this paper we will discuss a model for the behavior of an rf-SQUID
magnetometer, which consists of a macroscopic quantum object which is
reactively coupled to a linear classical oscillator. We demonstrate th
at the coupling between the quantum object and the classical oscillato
r can lead to manifestly nonlinear behavior in the otherwise linear os
cillator; including multi-periodic and chaotic solutions.