Dynamical model for the quantumtoclassical crossover of shot noise.pdfVIP

Dynamical model for the quantum-to-classical crossover of shot noise J. Tworzydlo,1, 2 A. Tajic,1 H. Schomerus,3 and C.W.J. Beenakker1 1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands 2Institute of Theoretical Physics, Warsaw University, Ho˙za 69, 00–681 Warsaw, Poland 3Max Planck Institute for the Physics of Complex Systems, N¨othnitzer Str. 38, 01187 Dresden, Germany 3 (Dated: April 2003) 0 We use the open kicked rotator to model the chaotic scattering in a ballistic quantum dot cou- 0 pled by two point contacts to electron reservoirs. By calculating the system-size-over-wave-length 2 dependence of the shot noise power we study the crossover from wave to particle dynamics. Both l a fully quantum mechanical and a semiclassical calculation are presented. We find numerically in u both approaches that the noise power is reduced exponentially with the ratio of Ehrenfest time and J dwell time, in agreement with analytical predictions. 7 PACS numbers: 05.45.Mt, 03.65.Sq, 72.70.+m, 73.23.-b ] l l a I. INTRODUCTION nected by two ballistic leads to electron reservoirs. While h - the phase space of this system is fourdimensional, it can s be reduced to two dimensions on a Poincar´e surface of e Noise plays a uniquely informative role in connection section.11,12 The open kicked rotator10,13,14,15 is a stro with the p