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Waltner, Daniel ; Kuipers, Jack

Ehrenfest-time dependence of quantum transport corrections and spectral statistics

Waltner, Daniel and Kuipers, Jack (2010) Ehrenfest-time dependence of quantum transport corrections and spectral statistics. Physical Review E (PRE) 82, 066205.

Date of publication of this fulltext: 17 Sep 2010 06:53
Article
DOI to cite this document: 10.5283/epub.16643


Abstract

The Ehrenfest time scale in quantum transport separates essentially classical propagation from wave interference and here we consider its effect on the transmission and reflection through quantum dots. In particular we calculate the Ehrenfest time dependence of the next to leading order quantum corrections to the transmission and reflection for dc- and ac-transport and check that our results are ...

The Ehrenfest time scale in quantum transport separates essentially classical propagation from wave interference and here we consider its effect on the transmission and reflection through quantum dots. In particular we calculate the Ehrenfest time dependence of the next to leading order quantum corrections to the transmission and reflection for dc- and ac-transport and check that our results are consistent with current conservation relations. Looking as well at closed systems, we finally demonstrate how the contributions analyzed here imply changes in the calculation given in [P. W. Brouwer, S. Rahav and C. Tian, Phys. Rev. E, 74, 066208 (2006)] of the next to leading order of the spectral form factor. Our semiclassical result coincides with the result obtained in [C. Tian and A. I. Larkin, Phys. Rev. B, 70, 035305 (2004)] by field-theoretical methods.



Involved Institutions


Details

Item typeArticle
Journal or Publication TitlePhysical Review E (PRE)
Publisher:American Physical Society
Volume:82
Page Range:066205
Date2010
InstitutionsPhysics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-166431
Item ID16643

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