Parametric instability in periodically driven Luttinger liquids

@article{Bukov2012ParametricII,
  title={Parametric instability in periodically driven Luttinger liquids},
  author={Marin Bukov and Markus Heyl},
  journal={Physical Review B},
  year={2012},
  volume={86}
}
We analyze the properties of a Luttinger liquid under the influence of a periodic driving of the interaction strength. Irrespective of the details the driven system develops an instability due to a parametric resonance. For slow and fast driving, however, we identify intermediate long-lived meta-stable states at constant time-averaged internal energies. Due to the instability perturbations in the fermionic density are amplified exponentially leading to the buildup of a superlattice. The… 

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