Random unitary matrices of symplectic ensemble describe statistical properties of time-dependent, periodical quantum systems with a half-integer spin. We present a method of constructing random matrices typical to circular symplectic ensemble and show that the numerically generated unitary symplectic matrices display statistical properties of spectrum and eigenvectors according to the predictions of the random matrix theory.
CITATION STYLE
Zyczkowski, K. (2008). Random matrices of circular symplectic ensemble. In Chaos — The Interplay Between Stochastic and Deterministic Behaviour (pp. 565–571). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-60188-0_84
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