Prethermalization in aperiodically kicked many-body dynamics
- URL: http://arxiv.org/abs/2306.16144v1
- Date: Wed, 28 Jun 2023 12:19:34 GMT
- Title: Prethermalization in aperiodically kicked many-body dynamics
- Authors: Jin Yan, Roderich Moessner and Hongzheng Zhao
- Abstract summary: We investigate the heating dynamics in aperiodically kicked systems.
We demonstrate that multiple heating channels can be eliminated even away from the high-frequency regime.
- Score: 1.160208922584163
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Driven many-body systems typically experience heating due to the lack of
energy conservation. Heating may be suppressed for time-periodic drives, but
little is known for less regular drive protocols. In this work, we investigate
the heating dynamics in aperiodically kicked systems, specifically those driven
by quasi-periodic Thue-Morse or a family of random sequences with
$n$-multipolar temporal correlations. We demonstrate that multiple heating
channels can be eliminated even away from the high-frequency regime. The number
of eliminated channels increases with multipolar order $n$. We illustrate this
in a classical kicked rotor chain where we find a long-lived prethermal regime.
When the static Hamiltonian only involves the kinetic energy, the prethermal
lifetime $t^*$ can strongly depend on the temporal correlations of the drive,
with a power-law dependence on the kick strength $t^*\sim K^{-2n}$, for which
we can account using a simple linearization argument.
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