Chaos in a one-dimensional integrable quantum system
Quantum Physics
2009-11-13 v2
Abstract
We study a simple one-dimensional quantum system on a circle with n scale free point interactions. The spectrum of this system is discrete and expressible as a solution of an explicit secular equation. However, its statistical properties are nontrivial. The level spacing distribution between its neighboring odd and even levels displays a surprising agreement with the prediction obtained for the Gaussian Orthogonal Ensemble of random matrices.
Keywords
Cite
@article{arxiv.0808.2930,
title = {Chaos in a one-dimensional integrable quantum system},
author = {Petr Seba and Daniel Vasata},
journal= {arXiv preprint arXiv:0808.2930},
year = {2009}
}
Comments
11 pages, 5 figures