Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Discrete nonlinear Schrödinger equation with defects.

A Trombettoni1, A Smerzi, A R Bishop

  • 1Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
Summary

We studied wave dynamics in a disordered nonlinear system, revealing distinct behaviors like complete reflection, stable oscillations, and self-trapping. These findings offer insights into wave propagation through imperfect nonlinear media.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Mach-Zehnder atom interferometry with non-interacting trapped Bose-Einstein condensates.

Nature communications·2026
Same author

Measurement of the superfluid fraction of a supersolid by Josephson effect.

Nature·2024
Same author

Probing the Degree of Coherence through the Full 1D to 3D Crossover.

Physical review letters·2023
Same author

Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators.

Chaos, solitons, and fractals·2023
Same author

Measurement and memory in the periodically driven complex Ginzburg-Landau equation.

Physical review. E·2022
Same author

Thermalization processes induced by quantum monitoring in multilevel systems.

Physical review. E·2021

Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Wave propagation

Background:

  • The discrete nonlinear Schrödinger equation (DNLS) models wave phenomena in various physical systems.
  • Understanding wave dynamics in disordered systems is crucial for many applications.
  • On-site defects introduce complexity to wave propagation.

Purpose of the Study:

  • To investigate the dynamical properties of the one-dimensional DNLS with defects.
  • To analyze the behavior of traveling plane waves under specific conditions.
  • To map the system's dynamics to a simplified Hamiltonian model.

Main Methods:

  • Analysis of the one-dimensional DNLS with periodic boundary conditions and on-site defects.
  • Study of traveling plane wave propagation using a two-mode ansatz in Fourier space.

Related Experiment Videos

  • Mapping system dynamics to a nonrigid pendulum Hamiltonian for analytical prediction and numerical confirmation.

    • Main Results:

    • Identified three distinct dynamical regimes: complete reflection/refocusing, quasi-stationary oscillations, and self-trapping.
    • Demonstrated that wave dynamics can be accurately described by a nonrigid pendulum Hamiltonian.
    • Confirmed analytical predictions through numerical simulations.

    Conclusions:

    • The two-mode ansatz effectively captures the essential dynamics of the DNLS with defects.
    • The system exhibits rich dynamical behaviors dependent on nonlinearity and defect distribution.
    • The study provides a framework for understanding wave propagation in complex nonlinear media.