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Defect of a unitary matrix

✍ Scribed by Wojciech Tadej; Karol Życzkowski


Book ID
104037419
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
343 KB
Volume
429
Category
Article
ISSN
0024-3795

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Ergodicity of Unitary Random-Matrix Ense
✍ Z. Pluhař; H.A. Weidenmüller 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Using Efetov's supersymmetry method, we prove the ergodicity of a wide class of unitary random-matrix ensembles. We do so by showing that the connected part of the autocorrelation function of any observable vanishes asymptotically. The essential elements of the proof consist in a polar decomposition