Cantori and dynamical localization in the Bunimovich Stadium
Fausto Borgonovi, Paolo Conti, Daniela Rebuzzi, Bambi Hu, Baowen Li
TL;DR
This paper reviews classical and quantum behaviors of the Bunimovich stadium, highlighting various localized regimes including perturbative, quasi-integrable, dynamical, and ergodic, with quantum properties studied via an approximate quantum map.
Contribution
It introduces a detailed analysis of localized regimes in the Bunimovich stadium, emphasizing the role of classical Cantori in quantum localization phenomena.
Findings
Identification of multiple localized regimes in the stadium
Quantum properties analyzed using an approximate quantum map
Classical Cantori influence quantum localization
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.
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