From open quantum systems to open quantum maps

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 Poincaré map associated with the flow near the set of trapped trajectories.
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Submitted on : Monday, February 28, 2011 - 11:42:18 AM
Last modification on : Thursday, February 7, 2019 - 5:13:55 PM
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Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski. From open quantum systems to open quantum maps. Communications in Mathematical Physics, Springer Verlag, 2011, 304 (1), pp.1-48. ⟨10.1007/s00220-011-1214-0⟩. ⟨hal-00474392v2⟩

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