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

Regular and anomalous quantum diffusion in the Fibonacci kicked rotator.

G Casati1, G Mantica, D L Shepelyansky

  • 1International Center for the Study of Dynamical Systems, Università dell'Insubria, Via Valleggio 11, I-22100 Como, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
Summary

We investigated quantum rotator dynamics under Fibonacci kicking. Above a critical strength, diffusion is regular; below it, anomalous subdiffusion occurs, with its exponent numerically determined.

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

History of urethral surgery: Lessons learnt from the past.

Actas urologicas espanolas·2024
Same author

Cosmetic complications after anterior urethral surgery: a scoping review and photo collection.

Actas urologicas espanolas·2024
Same author

The use of robotic surgery for the management of urethral strictures and bladder neck contractures: A systematic review.

Actas urologicas espanolas·2024
Same author

Oral care pathways after oral mucosal graft harvesting: a systematic review.

Actas urologicas espanolas·2024
Same author

Treatment of anastomotic strictures after phalloplasty: An up-to-date review of the literature.

Actas urologicas espanolas·2024
Same author

Long term outcomes from uncorrected hypospadias: a scoping review.

Actas urologicas espanolas·2024

Area of Science:

  • Quantum dynamics
  • Nonlinear systems
  • Condensed matter physics

Background:

  • The kicked rotator model is a fundamental system for studying quantum chaos.
  • Understanding quantum diffusion is crucial for fields like quantum computing and solid-state physics.
  • The Fibonacci sequence introduces unique almost-periodic driving, leading to complex dynamics.

Purpose of the Study:

  • To investigate the dynamical behavior of a quantum rotator subjected to impulsive kicks following the Fibonacci sequence.
  • To characterize the transition between regular and anomalous diffusion regimes.
  • To numerically establish the relationship between kick strength and anomalous subdiffusion exponent.

Main Methods:

  • Numerical simulation of a quantum rotator model.

Related Experiment Videos

  • Employing a specialized numerical technique to extend simulations to 10^12 kicks.
  • Analyzing the excitation dynamics and diffusion behavior.

    • Main Results:

    • Identified a critical kick strength separating regular and anomalous diffusion.
    • Observed anomalous subdiffusion below the critical kick strength.
    • Numerically derived a law for the anomalous subdiffusion exponent's dependence on kick strength.

    Conclusions:

    • The quantum rotator exhibits distinct diffusion regimes based on kick strength.
    • Anomalous subdiffusion is a key feature in this system's dynamics.
    • The findings offer insights into quantum diffusion in quasicrystals and kicked Harper systems.