CM In the literature: open

Heating time under quasiperiodic driving at high frequency

In plain words

Driving with two frequencies whose ratio is irrational is less regular than periodic driving, and heating is expected to be faster. The exact law relating heating time to drive frequency is not pinned down.

Precise statement

For a spin chain with local energy scale $J$ driven by two incommensurate frequencies of order $\omega >> J$, rigorous bounds give a heating time growing as a stretched exponential of $\omega/J$ (Else, Ho, Quito 2020). Determine whether this bound is tight, i.e. the true asymptotic $t_h(\omega)$. Answer: the functional form with its exponent.

What would settle it

Large-chain numerics measuring $t_{h}$ over enough decades to distinguish a stretched exponential from other forms, or a matching lower bound.