Heating time under quasiperiodic driving at high frequency · revision history

Revision 1

Accepted · first revision · record

Title
Heating time under quasiperiodic driving at high frequency
Plain
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
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.
Settled by
Large-chain numerics measuring $t_{h}$ over enough decades to distinguish a stretched exponential from other forms, or a matching lower bound.
Kind
well-posed
Answer type
value
References
(empty)
Literature status
open
Status note
(empty)
Posed since
2020