Quantum chaos induced by nonadiabatic coupling in wave-packet dynamics

被引:11
作者
Higuchi, H [1 ]
Takatsuka, K [1 ]
机构
[1] Univ Tokyo, Grad Sch Arts & Sci, Dept Basic Sci, Tokyo 1538902, Japan
来源
PHYSICAL REVIEW E | 2002年 / 66卷 / 03期
关键词
D O I
10.1103/PhysRevE.66.035203
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The effect of nonadiabatic coupling due to breakdown of the Born-Oppenheimer approximation on chaos is investigated. A couple of measures (indicators) that detect the extent of chaos in wave-packet dynamics on coupled potential functions are devised. Using them, we show that chaos is indeed induced by a nonadiabatic coupling in individual time-dependent wave-packet dynamics. This chaos is genuinely of quantum nature, since it arises from bifurcation and merging of a wave packet at the quasicrossing region of two coupled potential functions.
引用
收藏
页码:1 / 035203
页数:4
相关论文
共 34 条
[1]   Quantum chaos in terms of entropy for a periodically kicked top [J].
Alicki, R ;
Makowiec, D ;
Miklaszewski, W .
PHYSICAL REVIEW LETTERS, 1996, 77 (05) :838-841
[2]   CHAOTICLIKE BEHAVIOR IN A QUANTUM SYSTEM WITHOUT CLASSICAL COUNTERPART [J].
ASHKENAZY, Y ;
HORWITZ, LP ;
LEVITAN, J ;
LEWKOWICZ, M ;
ROTHSCHILD, Y .
PHYSICAL REVIEW LETTERS, 1995, 75 (06) :1070-1073
[3]   Classical state sensitivity from quantum mechanics [J].
Ballentine, LE ;
Zibin, JP .
PHYSICAL REVIEW A, 1996, 54 (05) :3813-3819
[4]   QUANTUM SIGNATURES OF CLASSICAL CHAOS - SENSITIVITY OF WAVE-FUNCTIONS TO PERTURBATIONS [J].
BENET, L ;
SELIGMAN, TH ;
WEIDENMULLER, HA .
PHYSICAL REVIEW LETTERS, 1993, 71 (04) :529-532
[7]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4
[8]   QUANTUM IRREVERSIBILITY AND CHAOS [J].
BONCI, L ;
RONCAGLIA, R ;
WEST, BJ ;
GRIGOLINI, P .
PHYSICAL REVIEW LETTERS, 1991, 67 (19) :2593-2596
[9]   Chaos induced by quantum effect due to breakdown of the Born-Oppenheimer adiabaticity [J].
Fujisaki, H ;
Takatsuka, K .
PHYSICAL REVIEW E, 2001, 63 (06) :1-066221
[10]   Highly excited vibronic eigenfunctions in a multimode nonadiabatic system with Duschinsky rotation [J].
Fujisaki, H ;
Takatsuka, K .
JOURNAL OF CHEMICAL PHYSICS, 2001, 114 (08) :3497-3507