Stability and pre-thermalization in chains of classical kicked rotors

Atanu Rajak, Roberta Citro, Emanuele G. Dalla Torre

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25 Scopus citations


Periodic drives are a common tool to control physical systems, but have a limited applicability because time-dependent drives generically lead to heating. How to prevent the heating is a fundamental question with important practical implications. We address this question by analyzing a chain of coupled kicked rotors, and find two situations in which the heating rate can be arbitrarily small: (i) linear stability, for initial conditions close to a fixed point, and (ii) marginal localization, for drives with large frequencies and small amplitudes. In both cases, we find that the dynamics shows universal scaling laws that allow us to distinguish localized, diffusive, and sub-diffusive regimes. The marginally localized phase has common traits with recently discovered pre-thermalized phases of many-body quantum-Hamiltonian systems, but does not require quantum coherence.

Original languageEnglish
Article number465001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number46
StatePublished - 22 Oct 2018

Bibliographical note

Publisher Copyright:
© 2018 IOP Publishing Ltd.


  • heating
  • kicked rotors
  • marginal localization
  • periodic drives
  • pre-thermalization


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