Nonlinear matter wave dynamics with a chaotic potential

被引:0
|
作者
Gardiner, S.A. [1 ]
Jaksch, D. [1 ]
Dum, R. [1 ,2 ]
Cirac, J.I. [1 ]
Zoller, P. [1 ]
机构
[1] Inst. für Theoretische Physik, Universität Innsbruck, A-6020 Innsbruck, Austria
[2] Ecole Normale Supeárieure, Laboratoire Kastler Brossel, 24 Rue Lhomond, F-75231 Paris Cedex 05, France
关键词
Asymptotic stability - Chaos theory - Computer simulation - Continuum mechanics - Electron energy levels - Electron gas - Mathematical models - Molecular dynamics - Nonlinear equations - Phase space methods;
D O I
暂无
中图分类号
学科分类号
摘要
An appropriate semiclassical limit for a general cubic nonlinear Schrodinger equation, or Gross-Pitaevskii equation was derived. The derivation was shown to be a Liouville-type equation. Using this derivation, it was demonstrated how an eccentric wave function φ (x) can produce large deviations from the semiclassical limit.
引用
收藏
页码:023612 / 023611
相关论文
共 50 条
  • [11] Dynamics of wave packets for the nonlinear Schroumldinger equation with a random potential
    Iomin, Alexander
    PHYSICAL REVIEW E, 2009, 80 (03):
  • [12] Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate
    W. Zhang
    Q. L. Wu
    M. H. Yao
    E. H. Dowell
    Nonlinear Dynamics, 2018, 94 : 21 - 37
  • [13] Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate
    Zhang, W.
    Wu, Q. L.
    Yao, M. H.
    Dowell, E. H.
    NONLINEAR DYNAMICS, 2018, 94 (01) : 21 - 37
  • [14] Chaotic Structure, Sensitivity Analysis and Dynamics of Solitons to the Nonlinear Fractional Longitudinal Wave Equation
    Younas, Usman
    Hussain, Ejaz
    Muhammad, Jan
    Sharaf, Mohamed
    Meligy, Mohammed E.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2025, 64 (02)
  • [15] Progress in nonlinear and chaotic dynamics of structures
    Moon, FC
    STRUCTURAL DYNAMICS: RECENT ADVANCES, VOLS 1 & 2, PROCEEDINGS, 2000, : 39 - 59
  • [16] Chaotic dynamics of weakly nonlinear systems
    Vavriv, DM
    CHAOTIC, FRACTAL, AND NONLINEAR SIGNAL PROCESSING, 1996, (375): : 750 - 753
  • [17] NONLINEAR DYNAMICS Chaotic billiard lasers
    Stone, A. Douglas
    NATURE, 2010, 465 (7299) : 696 - 697
  • [18] CHAOTIC DYNAMICS OF A NONLINEAR ELECTRONIC CONVERTER
    Campos-Canton, E.
    Murguia, J. S.
    Rosu, H. C.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (10): : 2981 - 3000
  • [19] NONLINEAR AND CHAOTIC DYNAMICS - AN ECONOMISTS GUIDE
    WEISS, MD
    JOURNAL OF AGRICULTURAL ECONOMICS RESEARCH, 1991, 43 (03): : 2 - 17
  • [20] Chaotic matter shock wave of an open system
    Deng Yan
    Hai Wen-Hua
    Rong Shi-Guang
    Zhong Hong-Hua
    CHINESE PHYSICS B, 2010, 19 (12)