Weak localization of the open kicked rotator

2004/05/06 by J. Tworzydlo, J. Tworzydło, A. Tajic +1
Physics and Astronomy · #Chaos control and synchronization #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.70.205324

published as Phys.Rev.B 70, 205324 (2004) · 8 pages, 8 eps figures

arxiv created 2004/05/06 · openalex publication_date 2004/11/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We present a numerical calculation of the weak localization peak in the magnetoconductance for a stroboscopic model of a chaotic quantum dot. The magnitude of the peak is close to the universal prediction of random-matrix theory. The width depends on the classical dynamics, but this dependence can be accounted for by a single parameter: the level curvature around zero magnetic field of the closed system.

Citations

• Random-matrix theories in quantum physics: common concepts
• Quantum-to-classical crossover of mesoscopic conductance fluctuations
• Noiseless scattering states in a chaotic cavity
• Dynamical model for the quantum-to-classical crossover of shot noise
• Adiabatic Quantization of Andreev Quantum Billiard Levels

Related

• Ehrenfest-Time Dependence of Weak Localization in Open Quantum Dots
• Weak localization in arrays of metallic quantum dots
• Difficulties with the Scars Model of Quantum Localization
• Weak localization and conductance fluctuations in a quantum dot with parallel magnetic field and spin-orbit scattering
• Quantum Localization for Two Coupled Kicked Rotors