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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2007, Volume 86, Issue 10, Pages 736–740
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This article is cited in 9 scientific papers (total in 9 papers)
CONDENSED MATTER
Dephasing in the semiclassical limit is system–dependent
C. Petitjeana, P. Jacquodb, R. S. Whitneyc a Département de Physique Théorique, Université de Genève
b Physics Department, University of Arizona, Tucson, AZ 85721, USA
c Institut Laue-Langevin, 38042 Grenoble, France
Abstract:
We investigate dephasing in open quantum chaotic systems in the limit of large system size to Fermi wavelength ratio, $L/\lambda_\mathrm F\gg1$. We semiclassically calculate the weak localization correction $g^\mathrm{wl}$ 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 $g^\mathrm{wl}\propto (1+\tau_\mathrm{ D}/\tau_\phi)^{-1}$ with the dwell time $\tau_\mathrm D$ through the cavity and the dephasing rate $\tau_\phi^{-1}$, 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, $\tilde\tau\propto\ln [L/\lambda_\mathrm F]$, 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 $\xi$ of the coupling potential instead of $\lambda_\mathrm F$.
Received: 08.10.2007
Citation:
C. Petitjean, P. Jacquod, R. S. Whitney, “Dephasing in the semiclassical limit is system–dependent”, Pis'ma v Zh. Èksper. Teoret. Fiz., 86:10 (2007), 736–740; JETP Letters, 86:10 (2007), 647–651
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https://www.mathnet.ru/eng/jetpl917 https://www.mathnet.ru/eng/jetpl/v86/i10/p736
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Abstract page: | 169 | Full-text PDF : | 45 | References: | 40 |
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