Cantori and dynamical localization in the Bunimovich Stadium

Abstract

Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximate quantum map. Different localized regimes are found, namely, perturbative, quasi-integrable (due to classical Cantori), dynamical and ergodic.

RevTeX, 8 pages, to be published in Physica D

References in corpus (5)

• Quantum localization in rough billiards
• Localization in discontinuous quantum systems
• Emergence of Quantum Ergodicity in Rough Billiards
• Quasiclassical Surface of Section Perturbation Theory
• Localization in a rough billiard: A sigma model formulation

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• Critical properties in long-range hopping Hamiltonians
• Multi-fractality of the entanglement Hamiltonian eigen-modes