Measuring the Lyapunov exponent using quantum mechanics

被引:95
|
作者
Cucchietti, F.M. [1 ]
Lewenkopf, C.H. [2 ]
Mucciolo, E.R. [3 ]
Pastawski, H.M. [1 ]
Vallejos, R.O. [4 ]
机构
[1] Fac. de Matemat., Astron. y Fis., Univ. National de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina
[2] Instituto de Física, Univ. do Estado do Rio de Janeiro, 20559-900 Rio de Janeiro, Brazil
[3] Departamento de Física, Pont. Univ. Catol. do Rio de Janeiro, CP 38071, 22452-970 Rio de Janeiro, Brazil
[4] Ctro. Bras. de Pesq. Físicas, R. Xavier Sigaud 150, 22290-180 Rio de Janeiro, Brazil
关键词
Lyapunov exponent - Quantum fingerprint - Wave functions - Wave packets;
D O I
10.1103/PhysRevE.65.046209
中图分类号
学科分类号
摘要
引用
收藏
页码:1 / 046209
相关论文
共 50 条
  • [1] Measuring the Lyapunov exponent using quantum mechanics
    Cucchietti, FM
    Lewenkopf, CH
    Mucciolo, ER
    Pastawski, HM
    Vallejos, RO
    PHYSICAL REVIEW E, 2002, 65 (04):
  • [2] Lyapunov exponent in quantum mechanics. A phase-space approach
    Man'ko, VI
    Mendes, RV
    PHYSICA D, 2000, 145 (3-4): : 330 - 348
  • [3] Extracting classical Lyapunov exponent from one-dimensional quantum mechanics
    Morita, Takeshi
    PHYSICAL REVIEW D, 2022, 106 (10)
  • [4] On the notion of quantum Lyapunov exponent
    Kondratieva M.F.
    Osborn T.A.
    Journal of Mathematical Sciences, 2008, 150 (6) : 2500 - 2506
  • [5] Quantum Lyapunov exponent in dissipative systems
    Bergamasco, Pablo D.
    Carlo, Gabriel G.
    Rivas, Alejandro M. F.
    PHYSICAL REVIEW E, 2023, 108 (02)
  • [6] LYAPUNOV EXPONENT FOR QUANTUM DISSIPATIVE SYSTEMS
    CERDEIRA, HA
    FURUYA, K
    HUBERMAN, BA
    PHYSICAL REVIEW LETTERS, 1988, 61 (22) : 2511 - 2513
  • [7] Upper quantum Lyapunov exponent and parametric oscillators
    Jauslin, HR
    Sapin, O
    Guérin, S
    Wreszinski, WF
    JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (11) : 4377 - 4385
  • [8] Scars on quantum networks ignore the Lyapunov exponent
    Schanz, H
    Kottos, T
    PHYSICAL REVIEW LETTERS, 2003, 90 (23)
  • [9] Loschmidt echo and Lyapunov exponent in a quantum disordered system
    Adamov, Y
    Gornyi, IV
    Mirlin, AD
    PHYSICAL REVIEW E, 2003, 67 (05):
  • [10] Correlation method for measuring the largest Lyapunov exponent in optical fields
    Gavrylyak, M. S.
    Maksimyak, A. P.
    Maksimyak, P. P.
    UKRAINIAN JOURNAL OF PHYSICAL OPTICS, 2008, 9 (02) : 119 - 127