Slow and fast topological dynamical phase transitions in a Duffing resonator driven by two detuned tones

TL;DR

This paper investigates the complex nonlinear dynamics and topological phase transitions in a Duffing resonator driven by two detuned tones, revealing multiple dynamical regimes and the influence of drive parameters.

Contribution

It introduces a systematic study of topological dynamical phase transitions in a driven Duffing resonator with two large tones, highlighting new out-of-equilibrium phenomena.

Findings

Identification of multiple dynamical regimes with distinct behaviors

Demonstration of slow and fast topological phase transitions

Impact of drive strength and detuning on system dynamics

Abstract

The combination of a strong pump and a weak probe has been widely applied to investigate both optical and nanomechanical devices. Such pump-probe measurements allows for the exploration of nonlinear dynamics, driven by the large pump tone, by measuring the system response to a probe tone. In contrast, here we report on the dynamics of a mechanical Duffing resonator driven with a combination of two large tones at different frequencies. Our results indicate the presence of various distinct regimes with very different dynamics. We systematically investigate the impact of the relative strength and detuning between the two drives on the dynamical response. This provides an illustrative example of dynamical phase transitions in out-of-equilibrium systems.