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VOLUME 86 | ISSUE 10 | PAGE 736
Dephasing in the semiclassical limit is system--dependent
C. Petitjean, P. Jacquod+, R. S. Whitney*

Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland
+Physics Department, University of Arizona, Tucson, AZ 85721, USA
*Institut Laue-Langevin, 38042 Grenoble, France

PACS: 03.65.Yz, 05.45.Mt, 73.23.-b, 74.40.+k
We investigate dephasing in open quantum chaotic systems in the limit of large system size to Fermi wavelength ratio, L/\lambda_{\rm F} \gg 1. We semiclassically calculate the weak localization correction g^{\rm wl} to the conductance for a quantum dot coupled to (i) an external closed dot and (ii) a dephasing voltage probe. In addition to the universal algebraic suppression g^{\rm wl} \propto (1+\tau_{\rm D}/\tau_\phi)^{-1} with the dwell time \tau_{\rm D} through the cavity and the dephasing rate τφ-1, we find an exponential suppression of weak localization by a factor \propto \exp[-\tilde{\tau}/\tau_\phi], with a system-dependent \tilde{\tau}. In the dephasing probe model, \tilde{\tau} coincides with the Ehrenfest time, \tilde{\tau} \propto \ln [L/\lambda_{\rm F}], for both perfectly and partially transparent dot-lead couplings. In contrast, when dephasing occurs due to the coupling to an external dot, \tilde{\tau} \propto \ln [L/\xi] depends on the correlation length ξ of the coupling potential instead of \lambda_{\rm F}.

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