Shot Noise in Semiclassical Chaotic Cavities

2005/12/31 by Robert S. Whitney, Philippe Jacquod · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physrevlett.96.206804

published as Phys. Rev. Lett. 96, 206804 (2006) · Final version, to appear in Physical Review Letters

arxiv created 2006/05/18 · openalex publication_date 2006/05/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We construct a trajectory-based semiclassical theory of shot noise in clean chaotic cavities. In the universal regime of vanishing Ehrenfest time tau(E), we reproduce the random matrix theory result and show that the Fano factor is exponentially suppressed as tau(E) increases. We demonstrate how our theory preserves the unitarity of the scattering matrix even in the regime of finite tau(E). We discuss the range of validity of our semiclassical approach and point out subtleties relevant to the recent semiclassical treatment of shot noise in the universal regime by Braun et al. (cond-mat/0511292).

Citations

• Shot Noise in Chaotic Cavities from Action Correlations
• Noiseless scattering states in a chaotic cavity
• Ehrenfest-Time Dependence of Weak Localization in Open Quantum Dots
• Shot noise in mesoscopic conductors

Cited by

• Dephasing in quantum chaotic transport: A semiclassical approach
• Effect of symmetry class transitions on the shot noise in chaotic quantum dots
• Full counting statistics of chaotic cavities with many open channels
• Interaction Correction to the Conductance of a Ballistic Conductor
• Integrable Theory of Quantum Transport in Chaotic Cavities