Abstract
Extremal spacings between eigenphases of random unitary matrices of size pertaining to circular ensembles are investigated. Explicit probability distributions for the minimal spacing for various ensembles are derived for . We study ensembles of tensor product of random unitary matrices of size which describe independent evolution of a composite quantum system consisting of subsystems. In the asymptotic case, as the total dimension becomes large, the nearest neighbor distribution becomes Poissonian, but statistics of extreme spacings and reveal certain deviations from the Poissonian behavior.
2 More- Received 12 June 2013
DOI:https://doi.org/10.1103/PhysRevE.88.052902
©2013 American Physical Society