Abstract
We prove that the spectrum of an individual chaotic quantum graph shows universal spectral correlations, as predicted by random-matrix theory. The stability of these correlations with regard to nonuniversal corrections is analyzed in terms of the linear operator governing the classical dynamics on the graph.
- Received 18 February 2004
DOI:https://doi.org/10.1103/PhysRevLett.93.194101
©2004 American Physical Society