Long-time behavior of periodically driven isolated interacting lattice systems

@article{Dalessio2014LongtimeBO,
  title={Long-time behavior of periodically driven isolated interacting lattice systems},
  author={L. D'alessio and Marcos Rigol},
  journal={arXiv: Statistical Mechanics},
  year={2014}
}
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 distinct regimes. For short driving periods, the Floquet Hamiltonian is well approximated by the time-averaged Hamiltonian, while for long periods the evolution operator exhibits properties of random matrices of a Circular Ensemble (CE). In-between, there is a crossover regime. Based on a finite… 

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