Correlation Function Bootstrapping in Quantum Chaotic Systems
Abstract
We discuss a general and efficient approach for "bootstrapping" short-time correlation data in chaotic or complex quantum systems to obtain information about long-time dynamics and stationary properties, such as the local density of states. When the short-time data is sufficient to identify an individual quantum system, we obtain a systematic approximation for the spectrum and wave functions. Otherwise, we obtain statistical properties, including wave function intensity distributions, for an ensemble of all quantum systems sharing the given short-time correlations. The results are valid for open or closed systems, and are stable under perturbation of the short-time input data. Numerical examples include quantum maps and two-dimensional anharmonic oscillators.
Cite
@article{arxiv.nlin/0503058,
title = {Correlation Function Bootstrapping in Quantum Chaotic Systems},
author = {L. Kaplan},
journal= {arXiv preprint arXiv:nlin/0503058},
year = {2009}
}
Comments
19 pages, including 10 figures, submitted to Phys. Rev. E