Ehrenfest-Time Dependence of Weak Localization in Open Quantum Dots

2005/05/10 by Saar Rahav, Piet W. Brouwer
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.95.056806

published as Phys. Rev. Lett., v95, 056806 (2005) . · 4 pages, 2 figures

arxiv created 2005/05/10 · openalex publication_date 2005/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Semiclassical theory predicts that the weak localization correction to the conductance of a ballistic chaotic cavity is suppressed if the Ehrenfest time exceeds the dwell time in the cavity [I. L. Aleiner and A. I. Larkin, Phys. Rev. B 54, 14423 (1996)]. We report numerical simulations of weak localization in the open quantum kicked rotator that confirm this prediction. Our results disagree with the "effective random matrix theory" of transport through ballistic chaotic cavities.

Citations

• Correlations between Periodic Orbits and their R?le in Spectral Statistics
• Dynamical model for the quantum-to-classical crossover of shot noise

Related

• Weak localization of the open kicked rotator
• Semiclassical Theory of Quantum Chaotic Transport: Phase-Space Splitting
• Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport
• Difficulties with the Scars Model of Quantum Localization
• Dynamics of four- versus two-terminal transport through chaotic quantum cavities