JETP Letters: issues online

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
Abstract 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 τ_φ^-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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