Quantum mechanics of chaotic billiards
Giulio Casati (University of Milano at Como, Italy), Tomaz Prosen, (University of Ljubljana, Slovenia)
TL;DR
This paper investigates the quantum dynamics of chaotic billiards, focusing on how quantum localization and classical phase space complexity shape quantum behavior in systems like the stadium billiard.
Contribution
It provides new insights into quantum properties of classically chaotic systems by analyzing the interplay between quantum localization and classical phase space structures.
Findings
Quantum localization affects the quantum dynamics in chaotic billiards.
Classical phase space structure influences quantum behavior.
The study offers new understanding of quantum chaos phenomena.
Abstract
We study the quantum behaviour of chaotic billiards which exhibit classically diffusive behaviour. In particular we consider the stadium billiard and discuss how the interplay between quantum localization and the rich structure of the classical phase space influences the quantum dynamics. The analysis of this model leads to new insight in the understanding of quantum properties of classically chaotic systems.
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