Structurally stable subharmonic regime of a driven quantum Josephson circuit

TL;DR

This paper identifies parameter regimes in driven quantum nonlinear oscillators where stable subharmonic behavior persists despite strong driving, avoiding chaos and enabling reliable quantum dynamics.

Contribution

It provides a method to select oscillator parameters that ensure regular dynamics and suppress chaos in driven quantum nonlinear systems.

Findings

Suppression of chaotic dynamics in driven quantum oscillators.

Existence of stable subharmonic orbits under strong driving.

Compatibility of quantum nonlinear effects with regular behavior.

Abstract

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.