Transitions in spectral statistics

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Published under licence by IOP Publishing Ltd
, , Citation C Blecken et al 1994 J. Phys. A: Math. Gen. 27 L563 DOI 10.1088/0305-4470/27/16/001

0305-4470/27/16/L563

Abstract

We present long-range statistical properties of a recently introduced unitary random matrix ensemble, whose short-range correlations were found to describe a transition from Wigner to Poisson-type as a function of a single parameter. We argue, by evaluating the two-level correlation function of a different solvable model, that the transition is perhaps a quite general feature for a class of models. Our analytic results compare well with numerical studies on a variety of physical systems. We discuss the possibility of observing experimentally the signature of such transitions.

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10.1088/0305-4470/27/16/001