2003/11/30 by J. Tworzydlo, J. Tworzydło, A. Tajic +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.69.165318
published as Phys. Rev. B 69, 165318 (2004) · 5 pages, 5 figures: one figure added, references updated
arxiv created 2004/01/15 · openalex publication_date 2004/04/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
We calculate the system-size-over-wavelength (M) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two N-mode point contacts to electron reservoirs. Both a fully quantum-mechanical and a semiclassical calculation are presented, and found to be in good agreement. The mean-squared conductance fluctuations reach the universal quantum limit of random-matrix theory for small systems. For large systems they increase \ensuremath∝M2 at fixed mean dwell time \ensuremathτD\ensuremath∝M/N. The universal quantum fluctuations dominate over the nonuniversal classical fluctuations if N<√(M). When expressed as a ratio of time scales, the quantum-to-classical crossover is governed by the ratio of Ehrenfest time and ergodic time.