Emergence of Quantum Ergodicity in Rough Billiards
arXiv:cond-mat/9702135 · doi:10.1103/PhysRevLett.79.1833
Abstract
By analytical mapping of the eigenvalue problem in rough billiards on to a band random matrix model a new regime of Wigner ergodicity is found. There the eigenstates are extended over the whole energy surface but have a strongly peaked structure. The results of numerical simulations and implications for level statistics are also discussed.
revtex, 4 pages, 4 figures
References in corpus (3)
Cited by in corpus (24)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Quantum Andreev map: A paradigm of quantum chaos in superconductivity
- Quantum Billiards with Surface Scattering: Ballistic Sigma-Model Approach
- Optical Phase Transitions in Photonic Networks: A Spin System Formulation
- Signature of Dynamical Localization in the Lifetime Distribution of Wave-Chaotic Dielectric Resonators
- Experimental investigation of nodal domains in the chaotic microwave rough billiard
- Investigation of nodal domains in the chaotic microwave ray-splitting rough billiard
- Quantum localization and cantori in chaotic billiards
- Level and Eigenfunction Statistics in Billiards with Surface Scattering
- Quantum mechanics of chaotic billiards
- Quasiclassical Surface of Section Perturbation Theory
- Diffusion and localization for the Chirikov typical map
- Experimental investigation of the elastic enhancement factor in a transient region between regular and chaotic dynamics
- Cantori and dynamical localization in the Bunimovich Stadium
- Experimental investigation of electric field distributions in a chaotic 3D microwave rough billiard
- Level statistics and eigenfunctions of pseudointegrable systems: dependence on energy and genus number
- Spectral properties of cylindrical quasi-optical cavity resonator with random-inhomogeneous side boundary: correlation between dephasing and dissipation
- Spectral Statistics and Dynamical Localization: sharp transition in a generalized Sinai billiard
- Weak localization in disordered systems at the ballistic limit
- Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry
- Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
- Cooper approach to pair formation in a tight-binding model of La-based cuprate superconductors
- Persistent currents in diffusive metallic cavities: Large values and anomalous scaling with disorder