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We present a trajectory-based semiclassical calculation of the Ehrenfest-time dependence of the weak localization correction and the universal conductance fluctuations of a ballistic quantum dot with ideal point contacts. While the weak…

Mesoscale and Nanoscale Physics · Physics 2007-08-22 Piet W. Brouwer , Saar Rahav

The Ehrenfest time dependence of the suppression of the weak localization correction to the conductance of a {\em clean} chaotic cavity is calculated. Unlike in earlier work, no impurity scattering is invoked to imitate diffraction effects.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Adagideli

This paper is withdrawn. While almost all findings reported here remain valid, some of our comments on the fate of weak localization corrections to the conductance in the deep semiclassical limit are now obsolete. Contrarily to what was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , Robert S. Whitney

The quantum kicked rotor (QKR) is known to exhibit dynamical localization in the space of its angular momentum. The present paper is devoted to the systematic first--principal (without a regularizer) diagrammatic calculations of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. Tian , A. Kamenev , A. Larkin

If the Ehrenfest time tau_E of a ballistic cavity is not negligible in comparison to its dwell time tau_D, the weak localization correction to the cavity's transmission is suppressed proportional to exp(-tau_E/tau_D). At the same time,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Saar Rahav , Piet W. Brouwer

We investigate the behavior of weak localization, conductance fluctuations, and shot noise of a chaotic scatterer in the semiclassical limit. Time resolved numerical results, obtained by truncating the time-evolution of a kicked quantum map…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Saar Rahav , Piet W. Brouwer

Transport properties of open chaotic ballistic systems and their statistics can be expressed in terms of the scattering matrix connecting incoming and outgoing wavefunctions. Here we calculate the dependence of correlation functions of…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Daniel Waltner , Jack Kuipers , Klaus Richter

In ballistic conductors, there is a low-time threshold for the appearance of quantum effects in transport coefficients. This low-time threshold is the Ehrenfest time. Most previous studies of the Ehrenfest-time dependence of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Piet W. Brouwer

Quantum kicked rotor was recently realized in experiments with cold atomic gases and standing optical waves. As predicted, it exhibits dynamical localization in the momentum space. Here we consider the weak localization regime concentrating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. Tian , A. Kamenev , A. Larkin

We calculate the Ehrenfest-time dependence of the leading quantum correction to the spectral form factor of a ballistic chaotic cavity using periodic orbit theory. For the case of broken time-reversal symmetry, our result differs from that…

Chaotic Dynamics · Physics 2007-08-22 Piet W. Brouwer , Saar Rahav , Chushun Tian

We add simple tunnelling effects and ray-splitting into the recent trajectory-based semiclassical theory of quantum chaotic transport. We use this to derive the weak-localization correction to conductance and the shot-noise for a quantum…

Mesoscale and Nanoscale Physics · Physics 2007-11-03 Robert S. Whitney

We investigate transport properties of quantized chaotic systems in the short wavelength limit. We focus on non-coherent quantities such as the Drude conductance, its sample-to-sample fluctuations, shot-noise and the transmission spectrum,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ph. Jacquod , Robert S. Whitney

We review properties of open chaotic mesoscopic systems with a finite Ehrenfest time tau_E. The Ehrenfest time separates a short-time regime of the quantum dynamics, where wave packets closely follow the deterministic classical motion, from…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Henning Schomerus , Philippe Jacquod

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…

Chaotic Dynamics · Physics 2015-03-17 Daniel Waltner , Jack Kuipers

This paper was withdrawn by the authors. The purpose of this paper was to provide conclusive evidence for the Ehrenfest-time-independence of weak localization, by means of a computer simulation of the coherent backscattering peak on very…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Tajic , J. Tworzydlo , C. W. J. Beenakker

Quantum effects are expected to disappear in the short-wavelength, semiclassical limit. As a matter of fact, recent investigations of transport through quantum chaotic systems have demonstrated the exponential suppression of the weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Daniel Waltner , Jack Kuipers , Philippe Jacquod , Klaus Richter

Quantum interference corrections in ballistic conductors require a minimal time: the Ehrenfest time. In this letter, we investigate the fate of the interference corrections to quantum transport in bulk ballistic conductors if the Ehrenfest…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland , Piet W. Brouwer , Chushun Tian

Breakdown of quantum-classical correspondence is studied on an experimentally realizable example of one-dimensional periodically driven system. Two relevant time scales are identified in this system: the short Ehrenfest time t_h and the…

Chaotic Dynamics · Physics 2009-10-31 Zbyszek P. Karkuszewski , Jakub Zakrzewski , Wojciech H. Zurek

Magnetotransport in chaotic quantum dots at low magnetic fields is investigated by means of a tight binding Hamiltonian on L x L clusters of the square lattice. Chaoticity is induced by introducing L bulk vacancies. The dependence of weak…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Louis , J. A. Verges

We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Iva Brezinova , Christoph Stampfer , Ludger Wirtz , Stefan Rotter , Joachim Burgdorfer
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