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From open quantum systems to open quantum maps (1004.3361v3)

Published 20 Apr 2010 in math.AP, cs.LG, math-ph, math.DS, math.MP, and nlin.CD

Abstract: For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be reduced to the study of a family of open quantum maps, that is of finite dimensional operators obtained by quantizing the Poincar\'e map associated with the flow near the set of trapped trajectories.

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