NONLINEAR QUANTUM DYNAMICS AT A CLASSICAL 2ND-ORDER RESONANCE

被引:20
作者
DYRTING, S [1 ]
MILBURN, GJ [1 ]
HOLMES, CA [1 ]
机构
[1] UNIV QUEENSLAND,DEPT MATH,ST LUCIA,QLD 4072,AUSTRALIA
来源
PHYSICAL REVIEW E | 1993年 / 48卷 / 02期
关键词
D O I
10.1103/PhysRevE.48.969
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 compare the classical and quantum-mechanical motion of a distribution initially localized on a classical second-order resonance of a driven pendulum. As the driving is increased the quantum state becomes localized about the classically stable region of phase space. The existence of a parity of a parity symmetry then allows for coherent tunneling between isolated second-order resonances. We compare and contrast the classical and quantum behavior with the aid of perturbation theory.
引用
收藏
页码:969 / 978
页数:10
相关论文
共 16 条
[1]  
AVERBUKH IS, 1989, PHYS LETT, V139, P440
[2]   THEORY OF QUANTUM NONLINEAR RESONANCE [J].
BERMAN, GP ;
ZASLAVSKY, GM .
PHYSICS LETTERS A, 1977, 61 (05) :295-296
[3]   STRUCTURE AND STABILITY OF THE QUASI-ENERGY SPECTRUM OF 2 INTERACTING QUANTUM NON-LINEAR RESONANCES [J].
BERMAN, GP ;
KOLOVSKY, AR .
PHYSICS LETTERS A, 1983, 95 (01) :15-18
[4]   ON THE SPECTRUM OF THE SYSTEM OF INTERACTING QUANTUM NON-LINEAR RESONANCES [J].
BERMAN, GP ;
ZASLAVSKY, GM ;
KOLOVSKY, AR .
PHYSICS LETTERS A, 1982, 87 (04) :152-156
[5]   CORRELATION-FUNCTION BEHAVIOR IN QUANTUM-SYSTEMS WHICH ARE CLASSICALLY CHAOTIC [J].
BERMAN, GP ;
KOLOVSKY, AR .
PHYSICA D, 1983, 8 (1-2) :117-141
[7]  
DINABERG EI, 1985, FUNC ANAL APPL, V9, P279
[8]   QUANTUM FEATURES IN THE SCATTERING OF ATOMS FROM AN OPTICAL STANDING WAVE [J].
DYRTING, S ;
MILBURN, GJ .
PHYSICAL REVIEW A, 1993, 47 (04) :R2484-R2487
[9]   COHERENT DESTRUCTION OF TUNNELING [J].
GROSSMANN, F ;
DITTRICH, T ;
JUNG, P ;
HANGGI, P .
PHYSICAL REVIEW LETTERS, 1991, 67 (04) :516-519
[10]   TUNNELING IN A PERIODICALLY DRIVEN BISTABLE SYSTEM [J].
GROSSMANN, F ;
JUNG, P ;
DITTRICH, T ;
HANGGI, P .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 84 (02) :315-325