JETP Letters

, Volume 86, Issue 10, pp 647–651 | Cite as

Dephasing in the semiclassical limit is system-dependent

  • C. Petitjean
  • P. Jacquod
  • R. S. Whitney
Condensed Matter


Dephasing in open quantum chaotic systems has been investigated in the limit of large system sizes to the Fermi wavelength ratio, LF 〉 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 + τDϕ)−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[−\(\tilde \tau \)ϕ], where \(\tilde \tau \) is the system-dependent parameter. In the dephasing probe model, \(\tilde \tau \) coincides with the Ehrenfest time, \(\tilde \tau \) ∝ ln[LF], for both perfectly and partially transparent dot-lead couplings. In contrast, when dephasing occurs due to the coupling to an external dot, \(\tilde \tau \) ∝ ln[L/ξ] depends on the correlation length ξ of the coupling potential instead of λF.

PACS numbers

03.65.Yz 05.45.Mt 73.23.-b 74.40.+k 


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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • C. Petitjean
    • 1
  • P. Jacquod
    • 2
  • R. S. Whitney
    • 3
  1. 1.Deepartement de Physique ThéoriqueUniversité de GenèveGenève 4Switzerland
  2. 2.Physics DepartmentUniversity of ArizonaTucsonUSA
  3. 3.Institut Laue-LangevinGrenobleFrance

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