Non ergodic quantum behaviour in classically chaotic 3D billiards
Giulio Casati (International Center for the study of dynamical, systems, University of Milano at Como, Italy), Tomaz Prosen (Physics, Dept., University of Ljubljana, Slovenia)
TL;DR
This paper investigates the quantum behavior of a nearly spherical 3D billiard, revealing non-ergodic phenomena and deviations from Random Matrix Theory caused by quantum suppression of classical chaos.
Contribution
It demonstrates the emergence of quantum non-ergodic behavior and deviations from RMT in a 3D billiard, combining analytical and numerical methods.
Findings
Quantum non-ergodic behavior observed
Deviations from Random Matrix Theory predictions
Quantum suppression of classical chaotic diffusion
Abstract
We study, analytically and numerically, the classical and quantum properties of a nearly spherical 3D billiard. In particular we show the appearence of quantum non ergodic behaviour and of the deviations from Random Matrix Theory predictions which are due to the quantum suppression of classically chaotic diffusion.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Scientific Research and Discoveries · Mathematical Dynamics and Fractals