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

Wave function statistics in open chaotic billiards.

Piet W Brouwer1

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
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

Tunable magnons in a dual-gated 2D antiferromagnet.

Nature communications·2026
Same author

Topology of Ultralocalized Insulators and Superconductors.

Physical review letters·2026
Same author

Hallmarks of Ballistic Terahertz Magnon Currents in an Antiferromagnetic Insulator.

Physical review letters·2025
Same author

Terahertz Spin-Conductance Spectroscopy: Probing Coherent and Incoherent Ultrafast Spin Tunneling.

Nano letters·2024
Same author

Accessing Ultrafast Spin-Transport Dynamics in Copper Using Broadband Terahertz Spectroscopy.

Physical review letters·2024
Same author

Non-Abelian Holonomy of Majorana Zero Modes Coupled to a Chaotic Quantum Dot.

Physical review letters·2024
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

We investigated wave functions in open chaotic billiards, finding they transition from real to complex as openings increase. Phase rigidity fluctuations were analyzed, revealing long-range correlations in intensity and current density.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Wave phenomena

Background:

  • Chaotic billiards are model systems for studying complex quantum behavior.
  • Understanding wave function properties in open systems is crucial for various physical phenomena.

Purpose of the Study:

  • To investigate the statistical properties of wave functions in chaotic billiards with varying degrees of openness.
  • To analyze the concept of phase rigidity and its impact on wave function characteristics.

Main Methods:

  • Numerical simulations of wave functions within a chaotic billiard model.
  • Calculation of phase rigidity and its probability distribution.
  • Analysis of correlations between wave functions and boundary conditions.

Related Experiment Videos

Main Results:

  • Wave functions transition from real to complex as the billiard's openings increase.
  • Phase rigidity is a fluctuating quantity that characterizes wave functions.
  • Phase rigidity fluctuations induce long-range correlations in intensity and current density.
  • Statistically significant correlations exist between phase rigidities for different incoming wave boundary conditions.

Conclusions:

  • The study reveals a crossover in wave function behavior in open chaotic billiards.
  • Phase rigidity fluctuations are key to understanding emergent correlations in these systems.
  • The findings have implications for quantum transport and statistical properties of complex systems.