Quantum noise-induced chaotic oscillations

被引:13
作者
Bag, BC [1 ]
Ray, DS [1 ]
机构
[1] Indian Assoc Cultivat Sci, Calcutta 700032, W Bengal, India
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 03期
关键词
D O I
10.1103/PhysRevE.61.3223
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
We examine the weak quantum noise limit of the Wigner equation for phase space distribution functions. It has been shown that the leading order quantum noise described in terms of an auxiliary Hamiltonian manifests itself as an additional fluctuational degree of freedom which may induce chaotic and regular oscillations in a nonlinear oscillator.
引用
收藏
页码:3223 / 3226
页数:4
相关论文
共 17 条
[1]   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
[2]   A semiclassical theory of quantum noise in open chaotic systems [J].
Bag, BC ;
Chaudhuri, S ;
Chaudhuri, JR ;
Ray, DS .
PHYSICA D-NONLINEAR PHENOMENA, 1999, 125 (1-2) :47-64
[3]   Chaotic signatures in the spectrum of a quantum double well [J].
Berkovits, R ;
Ashkenazy, Y ;
Horwitz, LP ;
Levitan, J .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 238 (1-4) :279-284
[4]   FLUCTUATION-DIFFUSION RELATIONSHIP IN CHAOTIC DYNAMICS [J].
CHAUDHURI, S ;
GANGOPADHYAY, G ;
RAY, DS .
PHYSICAL REVIEW E, 1993, 47 (01) :311-315
[5]   FLUCTUATIONS AND DECOHERENCE IN CLASSICAL CHAOS - A MODEL STUDY OF A KUBO OSCILLATOR GENERATED BY A CHAOTIC SYSTEM [J].
CHAUDHURI, S ;
GANGOPADHYAY, G ;
RAY, DS .
PHYSICAL REVIEW E, 1995, 52 (03) :2262-2267
[6]   EXISTENCE OF A POTENTIAL FOR DISSIPATIVE DYNAMICAL-SYSTEMS [J].
GRAHAM, R ;
TEL, T .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :9-12
[7]  
Gutzwiller MC, 1990, CHAOS CLASSICAL QUAN
[8]  
HELLER EJ, 1991, CHAOS QUANTUM PHYSIC
[9]  
HORWITZ LP, 1997, PHYS REV E, V55, P3694
[10]   QUANTUM TUNNELING AND CHAOS IN A DRIVEN ANHARMONIC-OSCILLATOR [J].
LIN, WA ;
BALLENTINE, LE .
PHYSICAL REVIEW LETTERS, 1990, 65 (24) :2927-2930