Jung-Wan Ryu, Sang Wook Kim
We show that localization occurs when a quantum system is opened with large enough amount. This is understood by considering non-Hermitian random matrices, which also reveals the relation between the non-Hermitian degeneracy, called the exceptional point, and such an opening induced localization. Based upon it we propose a plausible explanation on a long-lasting question, why a large number of modes are found to be localized in open quantum systems with classically chaotic dynamics. Numerical calculations obtained from the stadium microcavity confirms our proposal.
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http://arxiv.org/abs/1305.6698
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