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 18 条
  • [1] [Anonymous], 1995, QUANTUM CHAOS
  • [2] EXPERIMENTAL-STUDY OF QUANTUM AND CLASSICAL LIMITS IN MICROWAVE IONIZATION OF RUBIDIUM RYDBERG ATOMS
    ARNDT, M
    BUCHLEITNER, A
    MANTEGNA, RN
    WALTHER, H
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (18) : 2435 - 2438
  • [3] LOCALIZATION OF CLASSICALLY CHAOTIC DIFFUSION FOR HYDROGEN-ATOMS IN MICROWAVE FIELDS
    BAYFIELD, JE
    CASATI, G
    GUARNERI, I
    SOKOL, DW
    [J]. PHYSICAL REVIEW LETTERS, 1989, 63 (04) : 364 - 367
  • [4] POWER-LAW BEHAVIOR OF LYAPUNOV EXPONENTS IN SOME CONSERVATIVE DYNAMICAL-SYSTEMS
    BENETTIN, G
    [J]. PHYSICA D, 1984, 13 (1-2): : 211 - 220
  • [5] BOHIGAS O, 1991, P HOUCH SUMM SCH CHA, P89
  • [6] BAND-RANDOM-MATRIX MODEL FOR QUANTUM LOCALIZATION IN CONSERVATIVE-SYSTEMS
    CASATI, G
    CHIRIKOV, BV
    GUARNERI, I
    IZRAILEV, FM
    [J]. PHYSICAL REVIEW E, 1993, 48 (03) : R1613 - R1616
  • [7] QUANTUM CHAOS - UNEXPECTED COMPLEXITY
    CASATI, G
    CHIRIKOV, B
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1995, 86 (1-2) : 220 - 237
  • [8] CASATI G, 1995, 9598 INP
  • [9] CASATI G, 1979, LEC NOTES PHYS, V93, P33
  • [10] Chirikov B., 1981, SOVIET SCI REV C, V2, P209
12