Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion
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Publication:550596
DOI10.1016/j.aop.2011.02.004zbMath1220.82060arXiv1005.5033OpenAlexW3106495467MaRDI QIDQ550596
Publication date: 13 July 2011
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.5033
Quantum chaos (81Q50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) NLS equations (nonlinear Schrödinger equations) (35Q55)
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- Long time Anderson localization for the nonlinear random Schrödinger equation
- Localization in disordered, nonlinear dynamical systems
- Theory of fast Arnold diffusion in many-frequency systems
- Regular and stochastic motion
- Quasi-periodic solutions of nonlinear random Schrödinger equations
- Perturbation theory for the nonlinear Schrödinger equation with a random potential
- A numerical and symbolical approximation of the nonlinear Anderson model
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