Fractal Weyl laws for quantum decay in generic dynamical systems - Quantum PhysicsReport as inadecuate




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Abstract: Weyl-s law approximates the number of states in a quantum system bypartitioning the energetically accessible phase-space volume into Planck cells.Here we show that typical resonances in generic open quantum systems follow amodified, fractal Weyl law, even though their classical dynamics is notglobally chaotic but also contains domains of regular motion. Besides theobvious ramifications for quantum decay, this delivers detailed insight intoquantum-to-classical correspondence, a phenomenon which is poorly understoodfor generic quantum-dynamical systems.



Author: M. Kopp, H. Schomerus

Source: https://arxiv.org/



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