Persistence of golden-ratio scrambling enhancement in open quantum dynamics

Investigate whether the golden-ratio enhancement of scrambling in the quasiperiodically driven quantum impact oscillator persists when dissipation is incorporated through a quantum Langevin or Lindblad description.

Background

The paper finds that the golden-ratio frequency ratio produces a faster approach to OTOC saturation than the rational frequency ratios examined, although the early-time exponential growth rate is approximately the same across driving protocols. These results are obtained for a closed quantum impact oscillator without dissipation.

The authors identify the effect of dissipation as a future research direction and specifically leave unresolved whether the enhanced scrambling associated with golden-ratio quasiperiodic driving survives in an open quantum setting described by quantum Langevin or Lindblad dynamics.