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When a Josephson junction is exposed to microwave radiation, it undergoes the inverse AC Josephson effect - the phase of the junction locks to the drive frequency. As a result, the I-V curves of the junction acquire "Shapiro steps" of…

Entanglement entropy is a measure of quantum correlations between separate parts of a many-body system, which plays an important role in many areas of physics. Here we review recent work in which a relation between this quantity and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Israel Klich , Leonid Levitov

A Josephson junction may be driven through a transition where the superconducting condensate favors an odd over an even number of electrons. At this switch in the ground-state fermion parity, an Andreev bound state crosses through the Fermi…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 B. Tarasinski , D. Chevallier , Jimmy A. Hutasoit , B. Baxevanis , C. W. J. Beenakker

We present a comprehensive theoretical analysis of the dc transport properties of superconducting point contacts. We determine the full counting statistics for these junctions, which allows us to calculate not only the current or the noise,…

Superconductivity · Physics 2009-11-10 J. C. Cuevas , W. Belzig

We present a numerical model of local and nonlocal transport properties in a lateral spin valve structure consisting of two magnetic electrodes in contact with a third perpendicular superconducting electrode. By considering the transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 James Luke Webb , Bryan Hickey , Gavin Burnell

In a transparent three-terminal Josephson junction, modeling nonequilibrium transport is numerically challenging, owing to the interplay between multiple Andreev reflection (MAR) thresholds and multipair resonances in the pair current. An…

Mesoscale and Nanoscale Physics · Physics 2016-08-06 Régis Mélin , Denis Feinberg , Benoît Douçot

We study the full charge counting statistics of a charge pump based on a nearly open single electron transistor. The problem is mapped onto an exactly soluble problem of a g=1/2 non-equilibrium Luttinger liquid with an impurity. We obtain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. V. Andreev , E. G. Mishchenko

Parametric amplifiers are known to squeeze the vacuum state of the electromagnetic field, which results in predictable statistics of the photocounts at their output. However, recent theoretical work arXiv:1112.4159 predicts a very different…

Quantum Physics · Physics 2023-05-08 Jean Olivier Simoneau , Stéphane Virally , Christian Lupien , Bertrand Reulet

Recent experiments on conduction between a semiconductor and a superconductor have revealed a variety of new mesoscopic phenomena. Here is a review of the present status of this rapidly developing field. A scattering theory is described…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 C. W. J. Beenakker

Quasiparticle excitations adversely affect the performance of superconducting devices in a wide range of applications. They limit the sensitivity of photon detectors in astronomy, the accuracy of current sources in metrology, the cooling…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Ristè , C. C. Bultink , M. J. Tiggelman , R. N. Schouten , K. W. Lehnert , L. DiCarlo

We develop a theory of the low-temperature charge transfer between a superconductor and a hopping insulator. We show that the charge transfer is governed by the coherent two-electron -- Cooper pair conversion process, time reversal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. I. Kozub , A. A. Zyuzin , Y. M. Galperin , V. Vinokur

The tunneling spectrum of an electron and a hole in metal-superconductor-metal junctions is computed using the Blonder-Tinkham-Klapwijk theory. The incident and the outgoing currents finally balance each other by an interface charge inside…

Superconductivity · Physics 2014-08-20 W. LiMing , J. J. Ouyang , Liangbin Hu

A promising way to scale up superconducting quantum computers is to link different devices together using propagating photons. Correspondingly, accurately modeling the quantum information transfer in such quantum interconnects is critical…

Quantum Physics · Physics 2026-03-04 Soomin Moon , Thomas E. Roth

We analyze the rectification properties of voltage-biased Josephson junctions exhibiting the superconducting diode effect. Taking into account multiple Andreev reflection (MAR) processes in our scattering theory, we consider a short weak…

Superconductivity · Physics 2024-01-18 A. Zazunov , J. Rech , T. Jonckheere , B. Grémaud , T. Martin , R. Egger

We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge $Q$ in terms of the total reflection and transmission amplitudes and phases. The pumped…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Argha Banerjee , Sourin Das , Sumathi Rao

We study adiabatic charge transfer in a superconducting Cooper pair pump, focusing on the influence of current measurement on coherence. We investigate the limit where the Josephson coupling energy $E_J$ between the various parts of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Rosario Fazio , F. W. J. Hekking , J. P. Pekola

We study single-electron transport through a double quantum dot (DQD) monitored by a capacitively coupled quantum point-contact (QPC) electrometer. We derive the full counting statistics for the coupled DQD - QPC system and obtain the joint…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 D. S. Golubev , Y. Utsumi , M. Marthaler , Gerd Schoen

We examine the full counting statistics of electron transport through double quantum dots coupled in series, with particular attention being paid to the unique features originating from level renormalization. It is clearly illustrated that…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 JunYan Luo , HuJun Jiao , Yu Shen , Gang Cen , Xiao-Ling He , Changrong Wang

Electronic transport through nanostructures is greatly affected by the presence of superconducting leads. If the interface between the nanostructure and the superconductors is sufficiently transparent, a dissipationless current…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pablo Jarillo-Herrero , Jorden A. van Dam , Leo P. Kouwenhoven

The dc Josephson effect in a superconducting quantum point contact, where supercurrent flows through a small number of channels, is reviewd. The central role of Andreev levels is emphasized which carry the whole supercurrent in short…

Superconductivity · Physics 2009-10-31 A. Furusaki