Multifractality of open quantum systems

Abstract : We study the eigenstates of open maps whose classical dynamics is pseudointegrable and for which the corresponding closed quantum system has multifractal properties. Adapting the existing general framework developed for open chaotic quantum maps, we specify the relationship between the eigenstates and the classical structures, and quantify their multifractality at different scales. Based on this study, we conjecture that multifractality is visible in such systems for sufficiently long-lived resonance states at scales smaller than the classical structures. Our results can guide experimentalists in order to observe multifractal behavior in open systems.
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https://hal.archives-ouvertes.fr/hal-02156304
Contributor : Bertrand Georgeot <>
Submitted on : Friday, June 14, 2019 - 11:58:25 AM
Last modification on : Monday, June 17, 2019 - 1:50:14 PM

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  • HAL Id : hal-02156304, version 1
  • ARXIV : 1906.05350

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Agustín M. Bilen, Ignacio García-Mata, Bertrand Georgeot, Olivier Giraud. Multifractality of open quantum systems. 2019. ⟨hal-02156304⟩

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