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Shot noise in chaotic cavities from action correlations
Holger Schanz1, Mathias Puhlmann, Theo Geisel
1Max-Planck-Institut für Strömungsforschung, Göttingen, Germany. holger@chaos.gwdg.de
Physical Review Letters
|October 4, 2003
Summary
Universal shot noise in ballistic chaotic cavities arises from specific classical trajectory correlations. This finding, confirmed using quantum graphs, offers new insights into quantum transport phenomena.
Area of Science:
- Quantum physics
- Mesoscopic physics
Background:
- Shot noise in ballistic chaotic cavities is a key phenomenon in mesoscopic physics.
- Understanding its origins is crucial for characterizing quantum transport.
Purpose of the Study:
- To investigate the semiclassical origins of universal shot noise in ballistic chaotic cavities.
- To identify the specific classical trajectory correlations responsible for shot noise.
Main Methods:
- Employing a semiclassical approach to analyze shot noise.
- Utilizing quantum graphs as a model system for analytical calculations.
- Summing relevant classical trajectories analytically.
Main Results:
- Shot noise is attributed to action correlations among specific groups of classical trajectories.
- Analytical summation of trajectories in quantum graphs agrees with random-matrix theory predictions.
- Relevant correlations involve four trajectories and are independent of system symmetry.
Conclusions:
- The semiclassical viewpoint successfully explains universal shot noise in ballistic chaotic cavities.
- Action correlations of a specific type (involving four trajectories) are identified as the source of shot noise.
- This work provides a deeper understanding of quantum transport phenomena beyond previous correlation analyses.