Dephasing in the semiclassical limit is system-dependent |
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Authors: | C Petitjean P Jacquod and R S Whitney |
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Institution: | (1) Deepartement de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland;(2) Physics Department, University of Arizona, Tucson, AZ 85721, USA;(3) Institut Laue-Langevin, Grenoble, 38042, France |
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Abstract: | Dephasing in open quantum chaotic systems has been investigated in the limit of large system sizes to the Fermi wavelength
ratio, L/λF 〉 1. The weak localization correction g
wl to the conductance for a quantum dot coupled to (i) an external closed dot and (ii) a dephasing voltage probe is calculated
in the semiclassical approximation. In addition to the universal algebraic suppression g
wl ∝ (1 + τD/τϕ)−1 with the dwell time τD through the cavity and the dephasing rate τ
ϕ
−1
, we find an exponential suppression of weak localization by a factor of ∝ exp−
/τϕ], where
is the system-dependent parameter. In the dephasing probe model,
coincides with the Ehrenfest time,
∝ lnL/λF], for both perfectly and partially transparent dot-lead couplings. In contrast, when dephasing occurs due to the coupling
to an external dot,
∝ lnL/ξ] depends on the correlation length ξ of the coupling potential instead of λF.
The text was submitted by the authors in English. |
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Keywords: | |
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