Quantum localization and cantori in chaotic billiards

Abstract

We study the quantum behaviour of the stadium billiard. We 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.

4 pages in RevTex with 4 eps figures included

References in corpus (4)

• Ray and wave chaos in asymmetric resonant optical cavities
• Localization in discontinuous quantum systems
• Emergence of Quantum Ergodicity in Rough Billiards
• Quasiclassical Surface of Section Perturbation Theory

Cited by in corpus (14)

• Efficient Quantum Computing of Complex Dynamics
• Dynamical localization simulated on a few qubits quantum computer
• Critical statistics in quantum chaos and Calogero-Sutherland model at finite temperature
• Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos
• Localization of Eigenfunctions in the Stadium Billiard
• Trace formula for chaotic dielectric resonators tested with microwave experiments
• Classical versus quantum errors in quantum computation of dynamical systems
• Dynamical properties of a dissipative discontinuous map: A scaling investigation
• Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
• Spectral form factors and dynamical localization
• Recovery of chaotic tunneling due to destruction of dynamical localization by external noise
• A Numerical Investigation of the Effects of Classical Phase Space Structure on a Quantum System
• Classical and quantum anomalous diffusion in a system of 2$\delta$-kicked Quantum Rotors
• Stochastic Web Map: Survival probability and escape frequency