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Ehrenfest-Time Effects in Mesoscopic Systems

  • Daniel Waltner
Chapter
Part of the Springer Tracts in Modern Physics book series (STMP, volume 245)

Abstract

This chapter is devoted to the most prominent universal effect in ballistic systems beyond RMT that can be accessed by semiclassical methods: the effect of a non-zero Ehrenfest-time. The Ehrenfest-time provides a separation between the timescales when the dynamics of an initially spatially localised wave packet can be described by classical mechanics on the one hand and when it is dominated by wave interference on the other hand, for an illustration of this transition see Fig.  1.1. For an estimate we consider two points inside the wave packet a distance \(\lambda_F\) apart and calculate the time until they feel the effect of the boundary, i.e. until they are a distance of the order of the system size \({\mathcal L}\) apart taking into account the possible exponential separation of neighbouring trajectories in chaotic systems.

Keywords

Periodic Orbit Survival Probability Quantum Correction Semiclassical Limit Tunnel Barrier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institut für Theoretische Physik, Universität RegensburgRegensburgGermany

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