Hidden timescale in the response of harmonically driven chaotic systems
Statistical Mechanics
2016-03-22 v1 Quantum Gases
Chaotic Dynamics
Abstract
Linear response theory relates the response of a system to the power-spectrum of its fluctuations. However, the response to external driving in realistic models exhibits a pronounced non-linear blurring of the spectral line-shape. Considering a driven Bose-Hubbard trimer model we figure out what is the hidden time scale that controls this smearing effect. Contrary to conventional wisdom, the Fermi-golden-rule picture fails miserably in predicting the non-linear width of the transitions. Instead, if the system has a classical limit, the determination of the hidden time scale requires taking into account the underlying classical phase-space dynamics.
Cite
@article{arxiv.1603.06193,
title = {Hidden timescale in the response of harmonically driven chaotic systems},
author = {Christine Khripkov and Amichay Vardi and Doron Cohen},
journal= {arXiv preprint arXiv:1603.06193},
year = {2016}
}
Comments
5 pages, 4 figures