Chaos in a one-dimensional integrable quantum system

Details Chaos in a one-dimensional integrable quantum system Chaos in a one-dimensional integrable quantum system

2008-08-21

arxiv.org/abs/0808.2930v2

Physics

Quantum Physics

11 pages, 5 figures

Scientific paper

10.1016/j.physleta.2008.12.052

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.

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