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Related Experiment Videos

First experimental evidence for quantum echoes in scattering systems.

C Dembowski1, B Dietz, T Friedrich

  • 1Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.

Physical Review Letters
|November 5, 2004
PubMed
Summary

Quantum echoes, a self-pulsing phenomenon, were observed in microwave billiards exhibiting soft chaos. Experiments confirmed that the periodic response reveals topological information about the system's dynamics.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Condensed matter physics

Background:

  • Quantum echoes, a self-pulsing effect, have been predicted in systems with mixed phase space dynamics.
  • Superconducting and normal conducting microwave billiards with soft chaos geometry are suitable experimental platforms.

Purpose of the Study:

  • To experimentally observe and characterize quantum echoes in microwave billiards.
  • To verify the theoretical prediction linking the echo period to classical dynamics topology.
  • To demonstrate the extraction of topological information from experimental data.

Main Methods:

  • Experiments were conducted using open superconducting and normal conducting microwave billiards.
  • The geometry of the billiards was designed to exhibit soft chaos, characterized by a mixed phase space with a large stable island.

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  • Incoming microwave pulses were used to probe the system's response.
  • Main Results:

    • The self-pulsing effect, termed quantum echoes, was successfully observed.
    • A periodic response to incoming pulses was confirmed, aligning with theoretical predictions.
    • The period of the observed echoes was found to be associated with the topological features of the classical dynamics, specifically the development of a horseshoe structure.

    Conclusions:

    • Experimental observations confirm the theoretical picture of quantum echoes in soft chaotic systems.
    • The period of quantum echoes provides a direct experimental measure of topological information.
    • Microwave billiards serve as a valuable system for studying quantum-chaotic phenomena and their connection to classical dynamics.