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

Complementarity between local and nonlocal topological effects

Aharonov1, Reznik

  • 1School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel and Department of Physics, University of South Carolina, Columbia, South Carolina 29208, USA.

Physical Review Letters
|September 16, 2000
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

"Weighing" a closed system and the time-energy uncertainty principle

Physical review letters·2000
Same author

Polarized and unpolarized neutron-scattering study of the dynamical spin susceptibility of YBa2Cu3O7.

Physical review. B, Condensed matter·1996
Same author

Adiabatic Measurements on Metastable Systems.

Physical review letters·1996
Same author

Direct observation of optical magnons in YBa2Cu3O6.2.

Physical review. B, Condensed matter·1996
Same author

Unitary evolution between pure and mixed states.

Physical review letters·1996
Same author

Causality, memory erasing, and delayed-choice experiments.

Physical review. A, Atomic, molecular, and optical physics·1995
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

Topological effects reveal a quantum phase shift linked to local observations. This demonstrates a novel complementarity between local and nonlocal topological attributes, distinct from wave-particle duality.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Topology

Background:

  • Topological effects in quantum mechanics can lead to observable phenomena.
  • The Aharonov-Bohm effect is a key example of a topological phenomenon with nonlocal implications.

Purpose of the Study:

  • To investigate the relationship between quantum phase shifts and local observable effects in topological phenomena.
  • To introduce and analyze a novel complementarity between local and nonlocal topological attributes.

Main Methods:

  • Theoretical analysis of quantum phase shifts in topological systems.
  • Examination of the nature of observables in topological effects.

Main Results:

  • Demonstrated that topological effects exhibit a complementarity between nonlocal and local attributes.

Related Experiment Videos

  • Showed this complementarity arises from the noncanonical nature of observables, not noncommutativity.
  • Identified this local/nonlocal complementarity as a general feature of topological effects dual to the Aharonov-Bohm effect.

    • Conclusions:

    • Topological effects exhibit a unique local/nonlocal complementarity.
    • This complementarity is a fundamental characteristic of topological phenomena analogous to the Aharonov-Bohm effect.