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Related Experiment Videos

Shot noise in chaotic systems: "classical" to quantum crossover.

O Agam1, I Aleiner, A Larkin

  • 1The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.

Physical Review Letters
|October 6, 2000
PubMed
Summary

This study explores the transition from classical to quantum shot noise in chaotic systems. The Lyapunov exponent, a key property of these systems, can be determined by measuring shot noise, offering insights into quantum chaos.

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Area of Science:

  • Quantum physics
  • Mesoscopic systems
  • Chaos theory

Background:

  • Shot noise in chaotic systems exhibits a transition from classical to quantum behavior.
  • This crossover is influenced by particle dwell time and diffraction characteristics.

Purpose of the Study:

  • To investigate the classical-to-quantum crossover of shot noise in chaotic systems.
  • To establish a method for determining the Lyapunov exponent in chaotic mesoscopic systems.

Main Methods:

  • Analysis of the ratio between particle dwell time (τd) and characteristic diffraction time (t(E)).
  • Theoretical study of shot noise behavior in relation to system parameters.

Main Results:

  • Shot noise diminishes when t(E) is much larger than τd.

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  • Shot noise approaches a universal value when τd is much larger than t(E).

    • Conclusions:

    • The Lyapunov exponent of chaotic mesoscopic systems can be experimentally determined through shot noise measurements.
    • Understanding shot noise provides a pathway to probe quantum chaotic phenomena.