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

Self-trapped nonlinear matter waves in periodic potentials.

Tristram J Alexander1, Elena A Ostrovskaya, Yuri S Kivshar

  • 1Nonlinear Physics Centre and ARC Centre of Excellence for Quantum-Atom Optics, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia.

Physical Review Letters
|February 21, 2006
PubMed
Summary
This summary is machine-generated.

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

Bound states in the continuum in plasmonic structures.

Reports on progress in physics. Physical Society (Great Britain)·2026
Same author

Emergent momentum-space topological pseudospin defects in non-Hermitian systems.

Optics express·2026
Same author

Helical metasurfaces based on topological surface states in three-dimensional photonic topological insulators.

Nature materials·2026
Same author

Nyquist-Hilbert-nonlinear Schrödinger solitons: A continuous family of fractional nonlinear waves.

Science advances·2026
Same author

Nonlinear wave propagation governed by a fractional derivative.

Nature communications·2025
Same author

Enhanced biochemical sensing with high-Q transmission resonances in free-standing membrane metasurfaces.

Optica·2025
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Researchers discovered novel nonlinear states in optical lattices, explaining the self-trapping of matter waves. These broad nonlinear states exist within the band-gap spectrum and can be generated in any dimension.

Area of Science:

  • Quantum physics
  • Nonlinear optics
  • Condensed matter physics

Background:

  • Recent observations have shown nonlinear self-trapping of matter waves in one-dimensional optical lattices.
  • Understanding the underlying mechanisms of matter wave localization in periodic potentials is crucial.

Purpose of the Study:

  • To associate the observed nonlinear self-trapping with a novel type of nonlinear state.
  • To investigate the existence and properties of these states in various dimensions.

Main Methods:

  • Theoretical analysis of matter wave propagation in periodic potentials.
  • Numerical simulations to identify localized modes within band gaps.

Main Results:

  • Demonstrated the existence of broad nonlinear states in the gaps of the matter-wave band-gap spectrum.

Related Experiment Videos

  • Identified self-trapped localized modes in one-, two-, and three-dimensional periodic potentials.
  • Confirmed that these novel gap states can be generated experimentally.

    • Conclusions:

    • The nonlinear self-trapping of matter waves is explained by novel broad nonlinear states residing in the band-gap spectrum.
    • These states are robust and exist across different spatial dimensions.
    • Experimental generation of these gap states is feasible, opening new avenues for research.