Article

Emergence of Quantum Ergodicity in Rough Billiards

Physical Review Letters (Impact Factor: 7.73). 02/1997; DOI: 10.1103/PhysRevLett.79.1833
Source: arXiv

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. Comment: revtex, 4 pages, 4 figures

0 Bookmarks
 · 
34 Views
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Quantum chaos is obtained for a two-dimensional square lattice with a number of vacancies that scales with the linear size of the cluster L. The appearance of quantum chaos is signaled by both level and wave function statistics. Since states are extended, ballistic transport behavior is expected. In particular, we show that the static conductance increases linearly with L.
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 01/1999; 59(4).
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We discuss the quantum dynamics of the stadium billiard whose classical motion is known to be completely chaotic. In particular, we show how the simultaneous presence of cantori in the classical phase space and of the phenomenon of quantum dynamical localization affects the structure of the eigenfunctions and the statistical properties of the eigenvalues.
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 01/1999; 59(3).
  • Physics Letters A 01/1999; 263:157-166. · 1.63 Impact Factor

Full-text

Download
0 Downloads
Available from