Chaos in a one-dimensional integrable quantum system
arXiv:0808.2930 · doi:10.1016/j.physleta.2008.12.052
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.
11 pages, 5 figures