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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

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

We establish an explicit correspondence between perturbative and nonperturbative results in the problem of quantum decoherence in disordered conductors. We demonstrate that the dephasing time $\tau_{\phi}$ cannot be unambiguously extracted…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. S. Golubev , A. D. Zaikin

The conduction electrons' dephasing rate, $\tau_{\phi}^{-1}$, is expected to vanish with the temperature. A very intriguing apparent saturation of this dephasing rate in several systems was recently reported at very low temperatures. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Y. Imry , Z. Ovadyahu , A. Schiller

We extend the existing quasiclassical theory for the superconducting proximity effect in a chaotic quantum dot, to include a time-reversal-symmetry breaking magnetic field. Random-matrix theory (RMT) breaks down once the Ehrenfest time…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Goorden , Ph. Jacquod , 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

We propose a random matrix theory describing the influence of a time dependent external field on the average magnetoresistance of open quantum dots. The effect is taken into account in all orders of perturbation theory, and the result is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. G. Vavilov , I. L. Aleiner

Understanding how the dynamics of a given quantum system with many degrees of freedom is altered by the presence of a generic perturbation is a notoriously difficult question. Recent works predict that, in the overwhelming majority of…

Statistical Mechanics · Physics 2021-12-01 Tjark Heitmann , Jonas Richter , Jochen Gemmer , Robin Steinigeweg

Semiclassical theory predicts that the weak localization correction to the conductance of a ballistic chaotic cavity is suppressed if the Ehrenfest time exceeds the dwell time in the cavity [I. L. Aleiner and A. I. Larkin, Phys. Rev. B {\bf…

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

We investigate dephasing in open quantum chaotic systems in the limit of large system size to Fermi wavelength ratio, $L/\lambda_F >> 1$. We semiclassically calculate the weak localization correction $g^{wl}$ to the conductance for a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Cyril Petitjean , Philippe Jacquod , Robert S. Whitney

Shape-averaged magnetoconductance (weak localization) is used for the first time to obtain the electron phase coherence time $\tau_{\phi}$ in open ballistic GaAs quantum dots. Values for $\tau_{\phi}$ in the range of temperature T from…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. G. Huibers , M. Switkes , C. M. Marcus , K. Campman , A. C. Gossard

We explore a possibility of measuring deviation from the exponential decay law in pure quantum systems. The power law behavior at late times of decay time profile is predicted in quantum mechanics, and has been experimentally attempted to…

Quantum Physics · Physics 2022-07-13 A. Yoshimi , M. Tanaka , M. Yoshimura

We calculate the sample-to-sample fluctuations in the excitation gap of a chaotic dynamical system coupled by a narrow lead to a superconductor. Quantum fluctuations on the order of magnitude of the level spacing, predicted by random-matrix…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Goorden , Ph. Jacquod , C. W. J. Beenakker

An effective random matrix theory description is developed for the universal gap fluctuations and the ensemble averaged density of states of chaotic Andreev billiards for finite Ehrenfest time. It yields a very good agreement with the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Kormányos , Z. Kaufmann , C. J. Lambert , J. Cserti

We report a novel phenomenon that the universal conductance fluctuations (UCF) can be suppressed by a small electric field E. The experiment has been carried out on single crystals of Si doped heavily with P and B beyond the critical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Arindam Ghosh , A. K. Raychaudhuri

Dephasing of one-particle states in closed quantum dots is analyzed within the framework of random matrix theory and Master equation. Combination of this analysis with recent experiments on the magnetoconductance allows for the first time…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Eli Eisenberg , Karsten Held , Boris L. Altshuler

A new universality class distinct from the standard Wigner-Dyson ones is identified. This class is realized by putting a metallic quantum dot in contact with a superconductor, while applying a magnetic field so as to make the pairing field…

Condensed Matter · Physics 2009-10-28 Alexander Altland , Martin R. Zirnbauer

This paper identifies and investigates nature of the transition between Gaussian and exponential forms of decoherence. We show that the decoherence factor (that controls the time dependence of the suppression of the off-diagonal terms when…

Quantum Physics · Physics 2022-11-23 Bin Yan , Wojciech H. Zurek

Temperature dependence of electron dephasing time $\tau_\phi(T)$ is calculated for a disordered metal with small concentration of superconductive grains. Above the macroscopic superconducting transition line, when electrons in the metal are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Skvortsov , A. I. Larkin , M. V. Feigel'man

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf
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