Long-Time Anderson Localization for the Nonlinear Schrödinger Equation Revisited

Long-Time Anderson Localization for the Nonlinear Schrödinger Equation Revisited

In this paper, we confirm the conjecture of Wang and Zhang (J Stat Phys 134 (5-6):953–968, 2009) in a long time scale, i.e., the displacement of the wavefront for 1 D nonlinear random Schrödinger equation is of logarithmic order in time | t |.

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Veröffentlicht in:Journal of statistical physics 2021, Vol.182 (1), Article 10
Hauptverfasser: Cong, Hongzi, Shi, Yunfeng, Zhang, Zhifei
Format: Artikel
Sprache:eng
Schlagworte:
Anderson localization
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Schrodinger equation
Statistical Physics and Dynamical Systems
Theoretical
Wave fronts
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Zusammenfassung:In this paper, we confirm the conjecture of Wang and Zhang (J Stat Phys 134 (5-6):953–968, 2009) in a long time scale, i.e., the displacement of the wavefront for 1 D nonlinear random Schrödinger equation is of logarithmic order in time | t |.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-020-02677-y