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

Irregular dynamics in a one-dimensional Bose system.

G P Berman1, F Borgonovi, F M Izrailev

  • 1Theoretical Division and CNLS, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review Letters
|February 3, 2004
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

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

From asking to observing. Behavioural measures of socio-emotional and motivational skills in large-scale assessments.

Social science research·2023
Same author

Performance decline in a low-stakes test at age 15 and educational attainment at age 25: Cross-country longitudinal evidence.

Journal of adolescence·2021
Same author

Heralded Generation of Macroscopic Superposition States in a Spinor Bose-Einstein Condensate.

Physical review letters·2020
Same author

Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction.

Physical review letters·2017
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

We investigated quantum dynamics in one-dimensional ring systems. The transition to the Tonks-Girardeau regime reveals chaotic dynamics and statistical relaxation, observable through interference fringes.

Area of Science:

  • Quantum physics
  • Many-body systems
  • Condensed matter theory

Background:

  • Studying quantum dynamics of interacting bosons is crucial for understanding complex quantum systems.
  • The transition between mean-field and Tonks-Girardeau regimes offers insights into quantum phase transitions.

Purpose of the Study:

  • To analyze the many-body quantum dynamics of delta-interacting bosons in a 1D ring.
  • To investigate the transition from the mean-field to the Tonks-Girardeau regime.
  • To understand the role of interactions on system dynamics and statistical properties.

Main Methods:

  • Analytical and numerical approaches from the theory of interacting particles.
  • Time-dependent analysis of Shannon entropy and momentum distribution.

Related Experiment Videos

  • Characterization of quantum dynamics as regular (quasiperiodic) or irregular (chaotic).

    • Main Results:

    • The transition to the Tonks-Girardeau regime coincides with the onset of chaotic dynamics.
    • In the Tonks-Girardeau regime, the momentum distribution relaxes to a steady state.
    • Shannon entropy and momentum distribution show distinct time dependencies for weak and strong interactions.

    Conclusions:

    • The study elucidates the transition dynamics of interacting bosons in a 1D ring.
    • Chaotic dynamics and statistical relaxation are key features of the Tonks-Girardeau regime.
    • Experimental observation via interference fringes after trap release is proposed.