Influence of scars on time averaged ensemble distribution of quantum cat map in the semiclassical regime

被引:0
作者
Wang, J [1 ]
Gu, Y [1 ]
机构
[1] Univ Sci & Technol China, Ctr Nonlinear Sci, Hefei 230026, Peoples R China
关键词
cat map; nonergodicity; scars; antiscars;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study nonergodic behavior of an ensemble of quantum cat map with initially localized phase-space distributions. For this purpose, an amended version of the Wigner function on discretized phase torus is given, which shows meaningful classical-quantum correspondence in the semiclassical limit. We find the time averaged coarse-grained Wigner function is scarred and antiscared along some short periodic orbits, and the heights (depths) of these scars (antiscars) decrease linearly with (h) over bar when the initial phase-space distribution is fixed and the semiclassical limit is taken by letting (h) over bar = 1/(2 pi N(0)b(l)) with b a prime and l --> infinity.
引用
收藏
页码:361 / 366
页数:6
相关论文
共 17 条
[1]   THE QUANTIZED BAKERS TRANSFORMATION [J].
BALAZS, NL ;
VOROS, A .
ANNALS OF PHYSICS, 1989, 190 (01) :1-31
[2]  
De Almeida A. M. O., 1988, HAMILTONIAN SYSTEMS
[3]   THE ARNOLD CAT - FAILURE OF THE CORRESPONDENCE PRINCIPLE [J].
FORD, J ;
MANTICA, G ;
RISTOW, GH .
PHYSICA D, 1991, 50 (03) :493-520
[4]  
GIANNONI MJ, 1990, CHAOS QUANTUM PHYSIC
[5]   EVIDENCES OF CLASSICAL AND QUANTUM CHAOS IN THE TIME EVOLUTION OF NONEQUILIBRIUM ENSEMBLES [J].
GU, Y .
PHYSICS LETTERS A, 1990, 149 (2-3) :95-100
[6]   Time evolution of coarse-grained entropy in classical and quantum motions of strongly chaotic systems [J].
Gu, Y ;
Wang, J .
PHYSICS LETTERS A, 1997, 229 (04) :208-216
[7]  
GU Y, 1985, PHYS REV A, V32, P1310
[8]  
Hannay J. H., 1980, Physica D, V1D, P267, DOI 10.1016/0167-2789(80)90026-3
[9]   BOUND-STATE EIGENFUNCTIONS OF CLASSICALLY CHAOTIC HAMILTONIAN-SYSTEMS - SCARS OF PERIODIC-ORBITS [J].
HELLER, EJ .
PHYSICAL REVIEW LETTERS, 1984, 53 (16) :1515-1518
[10]  
HELLER EJ, 1990, CHAOS QUANTUM PHYSIC