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Spectral statistics of a quantum interval-exchange map | | E. Bogomolny}
; C. Schmit
; | | Date: |
31 Aug 2004 | | Subject: | Chaotic Dynamics | nlin.CD | | Abstract: | Curious spectral properties of an ensemble of random unitary matrices appearing in the quantization of a map p -> p+alpha, q -> q+f(p+alpha) in [Giraud et al. nlin.CD/0403033] are investigated. When alpha=m/n with integer co-prime m,n and matrix dimension N -> infinity is such that mN = 1 or -1 mod n, local spectral statistics of this ensemble tends to the semi-Poisson distribution [Bogomolny et al. Eur. Phys. J. B 19, 121 (2001)] with arbitrary integer or half-integer level repulsion at small distances: R(s)-> s^{beta} when s -> 0 and beta=n-1 or n/2-1 depending on time-reversal symmetry of the map. | | Source: | arXiv, nlin.CD/0408062 | | Services: | Forum | Review | PDF | Favorites | |
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