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• W2047924902 abstract "Quantum disordered problems with a direction (imaginary vector-potential) are discussed and mapped onto a supermatrix sigma-model. It is argued that the $0D$ version of the sigma-model may describe a broad class of phenomena that can be called directed quantum chaos. It is demonstrated by explicit calculations that these problems are equivalent to problems of theory of random asymmetric or non-Hermitian matrices. A joint probability of complex eigenvalues is obtained. The fraction of states with real eigenvalues proves to be always finite for time reversal invariant systems." @default.
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• W2047924902 creator A5068668120 @default.
• W2047924902 date "1997-07-21" @default.
• W2047924902 modified "2023-10-17" @default.
• W2047924902 title "Directed Quantum Chaos" @default.
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• W2047924902 doi "https://doi.org/10.1103/physrevlett.79.491" @default.
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