Structurally Stable Subharmonic Regime of a Driven Quantum Josephson Circuit

Driven quantum nonlinear oscillators, while essential for quantum technologies, are generally prone to complex chaotic dynamics that fall beyond the reach of perturbative analysis. By focusing on subharmonic bifurcations of a harmonically driven oscillator, we provide a recipe for the choice of the oscillator's parameters that ensures a regular dynamical behavior independently of the driving strength. We show that this suppression of chaotic phenomena is compatible with a strong quantum nonlinear effect reflected by the confinement rate in the degenerate manifold spanned by stable subharmonic orbits.

Automated summary

This study focuses on subharmonic bifurcations of driven quantum nonlinear oscillators and provides a method for choosing parameters to ensure regular dynamical behavior independent of driving strength. It is found that this suppression of chaotic phenomena is compatible with the strong quantum nonlinear effect exhibited by the confinement rate in the degenerate manifold formed by stable subharmonic orbits.