Dynamical model for the quantum-to-classical crossover of shot noise

Abstract

We use the open kicked rotator to model the chaotic scattering in a ballistic quantum dot coupled by two point contacts to electron reservoirs. By calculating the system-size-over-wave-length dependence of the shot noise power we study the crossover from wave to particle dynamics. Both a fully quantum mechanical and a semiclassical calculation are presented. We find numerically in both approaches that the noise power is reduced exponentially with the ratio of Ehrenfest time and dwell time, in agreement with analytical predictions.

7 pages, 5 figures; references updated

References in corpus (3)

• Quantum Andreev map: A paradigm of quantum chaos in superconductivity
• Adiabatic quantization of Andreev levels
• Shot noise and transport in small quantum cavities with large openings

Cited by in corpus (16)

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• Quantum-to-classical correspondence in open chaotic systems
• Ehrenfest-time dependence of weak localization in open quantum dots
• Shot noise in the chaotic-to-regular crossover regime
• Quantum-to-classical crossover of mesoscopic conductance fluctuations
• Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport
• Dephasing in quantum chaotic transport: a semiclassical approach
• Lifetime statistics in chaotic dielectric microresonators
• A model for chaotic dielectric microresonators
• Classical limit of transport in quantum kicked maps
• Weak localization of the open kicked rotator
• Quantum-to-classical crossover for Andreev billiards in a magnetic field
• Quasiclassical fluctuations of the superconductor proximity gap in a chaotic system
• Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering
• Staggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems
• Stroboscopic model of transport through a quantum dot with spin-orbit scattering