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An Effective Scaling Framework for Non-Adiabatic Mode Dynamics

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

This study proposes an effective theoretical framework for non-adiabatic parametric excitation in structured media, incorporating a nonlinear frequency regulator U as a stabilizing mechanism. We introduce the non-adiabaticity parameter as a time-local diagnostic for driven non-stationary systems and analyze its competition with nonlinear spectral detuning through the scaling ratio. The principal physical result is that strongly nonlinear oscillatory systems can exhibit saturation of non-adiabatic parametric amplification: when the nonlinear regulator becomes sufficiently strong, exponential mode growth is dynamically suppressed and the excitation evolves toward a bounded low-occupancy regime. Using numerical verification in an expanded 100-level bosonic Fock basis, we demonstrate a crossover from hyperbolic amplification dynamics toward an effectively bounded response associated with spectral blockade and suppression of higher-order mode occupation. These results suggest that nonlinear spectral stabilization may represent a general mechanism for finite-amplitude non-adiabatic dynamics in driven structured media.

years

2026 4

verdicts

UNVERDICTED 4

representative citing papers

Nonlinear Stabilization of Non-Adiabatic Magnonic Dynamics

cond-mat.mes-hall · 2026-05-19 · unverdicted · novelty 4.0 · 2 refs

Nonlinear detuning stabilizes non-adiabatic magnonic dynamics in YIG:Co nanostructures, enabling low-occupancy resonant states with estimated 22 aJ switching energy.

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