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

Quantum accelerator modes from the Farey tree.

A Buchleitner1, M B d'Arcy, S Fishman

  • 1Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany.

Physical Review Letters
|May 23, 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

The Association between Tea Consumption and the Risk of Fracture: A Dose-Response Meta-Analysis of Prospective Cohort Studies.

The journal of nutrition, health & aging·2021
Same author

Genetic testing approaches for hereditary breast cancer: Perspectives from a private diagnostic laboratory.

South African medical journal = Suid-Afrikaanse tydskrif vir geneeskunde·2020
Same author

Glycyrrhizin improves inflammation and apoptosis via suppressing HMGB1 and PI3K/mTOR pathway in lipopolysaccharide-induced acute liver injury.

European review for medical and pharmacological sciences·2020
Same author

New recurring BRCA1 variant: An additional South African founder mutation?

South African medical journal = Suid-Afrikaanse tydskrif vir geneeskunde·2019
Same author

Silence of MiR-9 protects depression mice through Notch signaling pathway.

European review for medical and pharmacological sciences·2019
Same author

Inflammatory cytokines IL-6, IL-10, IL-13, TNF-α and peritoneal fluid flora were associated with infertility in patients with endometriosis.

European review for medical and pharmacological sciences·2018
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

Quantum nondissipative mode locking is achieved in atom-optical quantum accelerator modes. These modes, created by kicking cold atoms gravitationally, are organized by the Farey tree hierarchy of Arnold tongues.

Area of Science:

  • Quantum physics
  • Atomic physics
  • Nonlinear dynamics

Background:

  • Mode locking is a phenomenon observed in driven nonlinear systems.
  • Atom-optical systems offer a platform for exploring quantum phenomena.
  • Quantum accelerators utilize cold atoms and periodic driving.

Purpose of the Study:

  • To identify a quantum nondissipative counterpart to classical mode locking.
  • To investigate the role of Arnold tongues in atom-optical quantum accelerator modes.
  • To establish a theoretical framework for organizing these quantum modes.

Main Methods:

  • Exposing cold atoms to periodic kicks in the direction of the gravitational field.
  • Analyzing the formation of quantum accelerator modes.

Related Experiment Videos

  • Utilizing the Farey tree hierarchy to order parameter regions.

    • Main Results:

    • A purely quantum nondissipative analog of mode locking was demonstrated.
    • Atom-optical quantum accelerator modes were shown to be anchored to generalized Arnold tongues.
    • The Farey tree provides a method for ordering these quantum accelerator modes.

    Conclusions:

    • Quantum nondissipative mode locking is achievable in atom-optical systems.
    • Arnold tongues play a crucial role in the behavior of quantum accelerator modes.
    • The Farey tree offers a powerful organizational principle for quantum phenomena in driven systems.