Slow heating in a quantum coupled kicked rotors system

@article{Notarnicola2020SlowHI,
  title={Slow heating in a quantum coupled kicked rotors system},
  author={Simone Notarnicola and Alessandro Silva and Rosario Fazio and Angelo Russomanno},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2020},
  volume={2020},
  pages={024008}
}
We consider a finite-size periodically driven quantum system of coupled kicked rotors which exhibits two distinct regimes in parameter space: a dynamically-localized one with kinetic-energy saturation in time and a chaotic one with unbounded energy absorption (dynamical delocalization). We provide numerical evidence that the kinetic energy grows subdiffusively in time in a parameter region close to the boundary of the chaotic dynamically-delocalized regime. We map the different regimes of the… 
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References

SHOWING 1-10 OF 95 REFERENCES
From localization to anomalous diffusion in the dynamics of coupled kicked rotors.
TLDR
The results show that quantum mechanics can deeply alter the regularity or ergodicity properties of a many-body-driven system.
Dynamical localization of coupled relativistic kicked rotors
A periodically driven rotor is a prototypical model that exhibits a transition to chaos in the classical regime and dynamical localization (related to Anderson localization) in the quantum regime. In
Quantum Localization for Two Coupled Kicked Rotors
We study a system of two coupled kicked rotors, both classically and quantum mechanically, for a wide range of coupling parameters. This was motivated by two published reports, one of which reported
Anomalous thermalization and transport in disordered interacting Floquet systems
Local observables in generic periodically driven closed quantum systems are known to relax to values described by periodic infinite temperature ensembles. At the same time, ergodic static systems
Thermalization in a periodically driven fully-connected quantum Ising ferromagnet
By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state
Diffusive and Subdiffusive Spin Transport in the Ergodic Phase of a Many-Body Localizable System.
TLDR
Studying finite-size effects, it is shown numerically and theoretically that a very large crossover length exists that controls the passage of a clean-system dominated dynamics to one observed in the thermodynamic limit.
Anomalous Thermalization in Ergodic Systems.
TLDR
It is found that for subdiffusively thermalizing systems the variance scales more slowly with system size than expected for diffusive systems, directly violating Berry's conjecture.
The approach to thermal equilibrium in quantized chaotic systems
We consider many-body quantum systems that exhibit quantum chaos, in the sense that the observables of interest act on energy eigenstates like banded random matrices. We study the time-dependent
Long-time behavior of periodically driven isolated interacting lattice systems
We study the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches. Using full exact diagonalization of finite chains, we show that these systems exhibit three
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