Diffusion and localization in chaotic billiards

被引：112
|
作者：
Borgonovi, F
Casati, G
Li, BW
机构：
[1] UNIV MILAN,COMO,ITALY
[2] UNIV MILAN,IST NAZL FIS MAT,I-22100 MILAN,ITALY
[3] INST NAZL FIS NUCL,SEZIONE PAVIA,PAVIA,ITALY
[4] INST NAZL FIS NUCL,SEZIONE MILANO,MILAN,ITALY
[5] HONG KONG BAPTIST UNIV,DEPT PHYS,HONG KONG,HONG KONG
[6] HONG KONG BAPTIST UNIV,CTR NONLINEAT & COMPLEX SYST,HONG KONG,HONG KONG
[7] UNIV MARIBOR,CTR APPL MATH & THEORET PHYS,SLO-2000 MARIBOR,SLOVENIA
来源：
PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 23期
关键词：
D O I：
10.1103/PhysRevLett.77.4744
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study analytically and numerically the classical diffusive process which takes place in a chaotic billiard. This allows one to estimate the conditions under which the statistical properties of eigenvalues and eigenfunctions can be described by random matrix theory. in particular, the phenomenon of quantum dynamical localization should be observable in real experiments.
引用
收藏
页码：4744 / 4747
页数：4
相关论文
共 50 条
  • [41] Quantum localization in rough billiards
    Frahm, KM
    Shepelyansky, DL
    PHYSICAL REVIEW LETTERS, 1997, 78 (08) : 1440 - 1443
  • [42] CODING CHAOTIC BILLIARDS .1. NONCOMPACT BILLIARDS ON A NEGATIVE CURVATURE MANIFOLD
    GIANNONI, MJ
    ULLMO, D
    PHYSICA D, 1990, 41 (03): : 371 - 390
  • [43] On the chaotic behavior of non-flat billiards
    Battelli, Flaviano
    Feckan, Michal
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (05) : 1442 - 1464
  • [44] Wave function statistics in open chaotic billiards
    Brouwer, PW
    PHYSICAL REVIEW E, 2003, 68 (04):
  • [45] GEOMETRIC SCALING OF CORRELATION DECAY IN CHAOTIC BILLIARDS
    ARTUSO, R
    CASATI, G
    GUARNERI, I
    PHYSICAL REVIEW E, 1995, 51 (05) : R3807 - R3810
  • [46] Microwave studies of chaotic billiards and disordered systems
    Stöckmann, HJ
    Barth, M
    Dörr, U
    Kuhl, U
    Schanze, H
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2001, 9 (03): : 571 - 577
  • [47] Chaotic and regular motion in dissipative gravitational billiards
    Gorski, A. Z.
    Srokowski, T.
    ACTA PHYSICA POLONICA B, 2006, 37 (09): : 2561 - 2569
  • [48] Chaotic correlations in barrier billiards with arbitrary barriers
    Osbaldestin, A. H.
    Adamson, L. N. C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (24)
  • [49] Signatures of quantum chaos in open chaotic billiards
    Sadreev, AF
    Berggren, KF
    NON-LINEAR DYNAMICS AND FUNDAMENTAL INTERACTIONS, 2006, 213 : 57 - +
  • [50] Chaotic and regular motion in dissipative gravitational billiards
    H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-342 Kraków, Poland
    Acta Phys Pol Ser B, 2006, 9 (2561-2569):
12345