Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 51, Issue 46, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aae294
Keywords
kicked rotors; periodic drives; heating; marginal localization; pre-thermalization
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Funding
- Israeli Science Foundation [1542/14]
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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-ihennalized phases of many-body quantum-Hamiltonian systems, but does not require quantum coherence.
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