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 $\mathrm{exp}(\ensuremath{-}{\ensuremath{\tau}}_{\mathrm{E}}∕{\ensuremath{\tau}}_{\mathrm{D}})$, where ${\ensuremath{\tau}}_{\mathrm{E}}$ and ${\ensuremath{\tau}}_{\mathrm{D}}$ are the dot's Ehrenfest time and dwell time, respectively, the variance of the conductance is found to be independent of ${\ensuremath{\tau}}_{\mathrm{E}}$. The latter is in agreement with numerical simulations of the quantum kicked rotator [J. Tworzydlo et al., Phys. Rev. B 69, 165318 (2004) and P. Jacquod and E. V. Sukhorukov, Phys. Rev. Lett. 92, 116801 (2004)].
Published Version
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