# 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…

## 13 Citations

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