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We calculate the dephasing rate of an electron state in a pinched quantum dot, due to Coulomb interactions between the electron in the dot and electrons in a nearby voltage biased ballistic nanostructure. The dephasing is caused by…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Levinson

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

The influence of electron-electron (e-e) interactions on the transmission through a quantum dot is investigated numerically for the Coulomb blockade regime. For vanishing magnetic fields, the conductance peak height statistics is found to…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. Berkovits , U. Sivan

The influence of electron-phonon interaction on the transmission phase shift of an electron passing through a quantum dot is investigated by using the scattering theory. The transmission phase versus the intra-dot level shows a serial of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Juntao Song , Qing-feng Sun , Hua Jiang , X. C. Xie

The exponential decay law is well established since its first derivation in 1928, however it is not exact but only an approximate description. In recent years some experimental and theoretical indications for non-exponential decay have been…

Quantum Physics · Physics 2023-01-31 M. S. Hosseini-Ghalehni , B. Azadegan , S. A. Alavi

Late time properties of moving relativistic particles are studied. Within the proper relativistic treatment of the problem we find decay curves of such particles and we show that late time deviations of the survival probability of these…

High Energy Physics - Phenomenology · Physics 2014-10-03 K. Urbanowski

Random matrix theory is used to represent generic loss of coherence of a fixed central system coupled to a quantum-chaotic environment, represented by a random matrix ensemble, via random interactions. We study the average density matrix…

Quantum Physics · Physics 2009-09-30 T. Gorin , C. Pineda , H. Kohler , T. H. Seligman

We study the dc-current transport in a voltage biased superconductor-chaotic dot-superconductor junction with an induced proximity effect(PE) in the dot. It is found that for a Thouless energy $E_{Th}$ of the dot smaller than the…

Superconductivity · Physics 2009-11-07 P. Samuelsson , G. Johansson , Å. Ingerman , V. S. Shumeiko , G. Wendin

We investigate toy dynamical models of energy-level repulsion in quantum eigenvalue sequences. We focus on parametric (with respect to a running coupling or "complexity" parameter) stochastic processes that are capable of relaxing towards a…

Statistical Mechanics · Physics 2007-05-23 Piotr Garbaczewski

Electronic quantum effects in disordered conductors are controlled by the dephasing rate of conduction electrons. This rate is expected to vanish with the temperature. We consider the very intriguing recently reported apparent saturation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yoseph Imry , Hidetoshi Fukuyama , Peter Schwab

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

We calculate the system-size-over-wave-length ($M$) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two $N$-mode point contacts to…

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

We first summarize our recent observations, through magnetization measurements in different low-Tc superconductors, of a rather sharp disappearance of the superconducting fluctuations in the normal state when the magnetic field approaches…

Superconductivity · Physics 2009-11-11 Manuel V. Ramallo , Jesus Mosqueira , Carlos Carballeira , Felix Soto , Felix Vidal

Electronic transport through chaotic quantum dots exhibits universal, system independent, properties, consistent with random matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

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

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 study the Dyson-Ornstein-Uhlenbeck diffusion process, an evolving gas of interacting particles. Its invariant law is the beta Hermite ensemble of random matrix theory, a non-product log-concave distribution. We explore the convergence to…

Probability · Mathematics 2023-01-16 Jeanne Boursier , Djalil Chafaï , Cyril Labbé

We analyze the decay of classically chaotic quantum systems in the presence of fast ballistic escape routes on the Ehrenfest time scale. For a continuous excitation process, the form factor of the decay cross section deviates from the…

Chaotic Dynamics · Physics 2007-08-01 T. Gorin , D. F. Martinez , H. Schomerus

Electron-electron interactions are responsible for a correction to the conductance of a diffusive metal, the "Altshuler-Aronov correction" $\delta G_{AA}$. Here we study the counterpart of this correction for a ballistic conductor, in which…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Martin Schneider , Georg Schwiete , Piet W. Brouwer

Entropic Dynamics (ED) is a framework that allows the formulation of dynamical theories as an application of entropic methods of inference. In the generic application of ED to derive the Schroedinger equation for N particles the dynamics is…

Quantum Physics · Physics 2016-04-20 Daniel Bartolomeo , Ariel Caticha