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Related Experiment Videos

Chaos, coherence, and the double-slit experiment.

Philippe Jacquod1

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
Summary

Classical dynamics influence interference patterns in coherence experiments. Chaotic systems lose fringes, while integrable cavities retain them, with conductance surviving universally in chaotic systems.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Coherence experiments

Background:

  • Classical dynamics can significantly impact quantum phenomena like interference.
  • Understanding coherence is crucial for quantum technologies.

Purpose of the Study:

  • To investigate how classical dynamics influence interference patterns in coherence experiments.
  • To analyze the behavior of probability current and conductance in an Aharonov-Bohm geometry.

Main Methods:

  • Calculation of time-integrated probability current through an absorbing screen.
  • Calculation of conductance through a doubly connected ballistic cavity in an Aharonov-Bohm geometry.
  • Analysis of systems with forward scattering only.

Main Results:

  • Interference fringes in probability current disappear in chaotic systems but persist in integrable cavities.
  • Flux-sensitive conductance (g(phi)) survives universally in chaotic cavities.
  • Dephasing due to potential fluctuations causes exponential damping of g(phi) with traversal and dephasing times.

Conclusions:

  • Classical dynamics play a critical role in determining the visibility of interference patterns.
  • System integrability dictates fringe persistence, while chaotic systems exhibit universal conductance behavior.
  • Dephasing mechanisms provide insights into coherence loss in multi-channel ballistic systems.

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