Directed Quantum Chaos
- 21 July 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 79 (3) , 491-494
- https://doi.org/10.1103/physrevlett.79.491
Abstract
Quantum disordered problems with a direction (imaginary vector potential) are discussed and mapped onto a supermatrix σ model. It is argued that the 0D version of the σ 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 those 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.Keywords
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