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Collective modes in an open microwave billiard

Seba1, Rotter, Muller

  • 1Institute of Physics, Czech Academy of Sciences, Cukrovarnicka 10, Prague, Czech Republic and Department of Physics, Pedagogical University, Hradec Kralove, Czech Republic.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
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Numerical calculations reveal distinct time scales in open quantum systems. Strong coupling in microwave Sinai billiards leads to short-lived collective states alongside long-lived trapped states.

Area of Science:

  • Quantum chaos
  • Mesoscopic physics
  • Open quantum systems

Background:

  • Sinai billiards are paradigmatic models for quantum chaos.
  • Open quantum systems exhibit complex dynamics influenced by coupling to external environments (leads).
  • Understanding time scales is crucial for characterizing quantum system behavior.

Purpose of the Study:

  • To investigate the impact of coupling strength on the dynamics of a microwave Sinai billiard.
  • To identify and characterize the different time scales emerging in this open quantum system.
  • To analyze the formation of collective and trapped states as a function of coupling.

Main Methods:

  • Numerical calculations were performed on a microwave Sinai billiard model.
  • The system was coupled to a lead with varying coupling strengths.

Related Experiment Videos

  • Time evolution and state properties were analyzed as a function of coupling.
  • Main Results:

    • The study demonstrates the formation of distinct time scales at large coupling strengths.
    • Short-lived collective states were observed.
    • Numerous long-lived trapped states were identified within the billiard.

    Conclusions:

    • Strong coupling in open quantum systems leads to a complex hierarchy of time scales.
    • The interplay between collective and trapped states governs the system's dynamics.
    • This work provides insights into the behavior of quantum systems with significant environmental interaction.