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Related Experiment Videos

Whispering gallery modes in open quantum billiards.

R G Nazmitdinov1, K N Pichugin, I Rotter

  • 1Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany. rashid@thsun1.jinr.ru

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
Summary

Complex scaling reveals whispering gallery modes in quantum billiards. These localized resonance states along the boundary contribute to the cavity

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Area of Science:

  • Quantum mechanics
  • Mesoscopic physics
  • Wave phenomena

Background:

  • Open quantum systems
  • Quantum billiards are model systems for studying wave phenomena in confined geometries.
  • Understanding conductance in mesoscopic systems is crucial for nanoscale electronics.

Purpose of the Study:

  • To investigate the behavior of S-matrix poles and wave functions in open two-dimensional quantum billiards with convex boundaries.
  • To analyze the conductance of these quantum billiards under varying open channel conditions.
  • To identify the origin of resonance states contributing to conductance.

Main Methods:

  • Complex scaling method to calculate S-matrix poles and wave functions.
  • Modeling of two-dimensional quantum billiards with convex boundaries and attached leads.

Related Experiment Videos

  • Conductance calculations at different energy regimes corresponding to one, two, and three open channels.

    • Main Results:

    • Bands of overlapping resonance states were observed.
    • These resonance states are localized along the convex boundary of the quantum billiards.
    • The resonance states contribute coherently to the conductance, analogous to classical whispering gallery modes.

    Conclusions:

    • The study successfully identified and characterized resonance states in open quantum billiards.
    • Whispering gallery modes play a significant role in the conductance of these systems.
    • The findings bridge classical and quantum descriptions of wave phenomena in confined geometries.