Parametric instability in periodically driven Luttinger liquids
Strongly Correlated Electrons
2013-01-29 v3
Abstract
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 momentum distribution develops a terrace structure due to scattering processes that can be associated with the absorption of quanta of the driving frequency.
Cite
@article{arxiv.1206.2504,
title = {Parametric instability in periodically driven Luttinger liquids},
author = {Marin Bukov and Markus Heyl},
journal= {arXiv preprint arXiv:1206.2504},
year = {2013}
}
Comments
7 pages, 4 figures