A semiclassical theory of the Ehrenfest-time dependence of quantum transport in ballistic quantum dots
Piet W. Brouwer, Saar Rahav
Abstract
We present a trajectory-based semiclassical calculation of the Ehrenfest-time dependence of the weak localization correction and the universal conductance fluctuations of a ballistic quantum dot with ideal point contacts. While the weak localization correction is proportional to exp(-tauE/tauD), where tauE and tauD are the dot's Ehrenfest time and dwell time, respectively, the variance of the conductance is found to be independent of tauE. The latter is in agreement with numerical simulations of the quantum kicked rotator [Tworzydlo et al., Phys. Rev. B 69, 165318 (2004) and Jacquod and Sukhorukov, Phys. Rev. Lett. 92, 116801 (2004)].
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