1999/12/27 by Z. Pluhar, Z. Pluhař, Hans A. Weidenmüller +2
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paper · pdf · doi:10.1103/physrevlett.84.2833
published as Phys. Rev. Lett. 84 (2000) 2833 · 4 pages
arxiv created 1999/12/27 · openalex publication_date 2008/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We prove ergodicity of unitary random-matrix theories by showing that the autocorrelation function with respect to energy or magnetic field strength of any observable vanishes asymptotically. We do so using Efetov's supersymmetry method, a polar decomposition of the saddle-point manifold, and an asymptotic evaluation of the boundary terms generated in this fashion.