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 paper, we investigate the heating dynamics in aperiodically kicked systems, specifically those driven by quasiperiodic 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∗∼K−2n, for which we can account using a simple linearization argument.
%0 Journal Article
%1 PhysRevB.109.064305
%A Yan, Jin
%A Moessner, Roderich
%A Zhao, Hongzheng
%D 2024
%I American Physical Society
%J Phys. Rev. B
%K a
%N 6
%P 064305
%R 10.1103/PhysRevB.109.064305
%T Prethermalization in aperiodically kicked many-body dynamics
%U https://link.aps.org/doi/10.1103/PhysRevB.109.064305
%V 109
%X 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 paper, we investigate the heating dynamics in aperiodically kicked systems, specifically those driven by quasiperiodic 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∗∼K−2n, for which we can account using a simple linearization argument.
@article{PhysRevB.109.064305,
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 paper, we investigate the heating dynamics in aperiodically kicked systems, specifically those driven by quasiperiodic 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∗∼K−2n, for which we can account using a simple linearization argument.},
added-at = {2024-04-26T14:44:33.000+0200},
author = {Yan, Jin and Moessner, Roderich and Zhao, Hongzheng},
biburl = {https://www.bibsonomy.org/bibtex/2bce3f66f91cb47e2a810599f4e74614c/ctqmat},
day = 13,
doi = {10.1103/PhysRevB.109.064305},
interhash = {be5f304b30b9eb7caf1d26783e579a69},
intrahash = {bce3f66f91cb47e2a810599f4e74614c},
journal = {Phys. Rev. B},
keywords = {a},
month = {02},
number = 6,
numpages = {14},
pages = 064305,
publisher = {American Physical Society},
timestamp = {2024-04-26T14:44:33.000+0200},
title = {Prethermalization in aperiodically kicked many-body dynamics},
url = {https://link.aps.org/doi/10.1103/PhysRevB.109.064305},
volume = 109,
year = 2024
}