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We consider quantum statistics of charge transmitted through a mesoscopic device in the adiabatic pumping process. A general formula for the distribution function of the transmitted charge in terms of the time-dependent S-matrix is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Anton Andreev , Alex Kamenev

We clarify the role of non-adiabatic effects in a quantum pumping for a spin-boson system. When we sinusoidally control the temperatures of two reservoirs with \pi/2 phase difference, we find that the pumping current strongly depends on the…

Statistical Mechanics · Physics 2014-11-24 Kota L. Watanabe , Hisao Hayakawa

We study nonadiabatic effects of geometric pumping. With arbitrary choices of periodic control parameters, we go beyond the adiabatic approximation to obtain the exact pumping current. We find that a geometrical interpretation for the…

Statistical Mechanics · Physics 2020-04-17 Kazutaka Takahashi , Keisuke Fujii , Yuki Hino , Hisao Hayakawa

We optimize the operation of single-electron charge pumps using full counting statistics techniques. To this end, we evaluate the statistics of pumped charge on a wide range of driving frequencies using Floquet theory, focusing here on the…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Elina Potanina , Kay Brandner , Christian Flindt

The theory for current fluctuations in ac-driven transport through nanoscale systems is put forward. By use of a generalized, non-Hermitian Floquet theory we derive novel explicit expressions for the time-averaged current and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sébastien Camalet , Jörg Lehmann , Sigmund Kohler , Peter Hänggi

The adiabatic charge pumping of a non-equilibrium state of spinless fermions in a one-dimensional lattice is investigated, with an emphasis placed on its usefulness in revealing many-body interaction effects on interband coherence. For a…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Sen Mu , Da-Jian Zhang , Longwen Zhou , Jiangbin Gong

We consider adiabatic pumping of electrons through a quantum dot. There are two ways to operate the pump: to create a dc current ${\bar I}$ or to create a dc voltage ${\bar V}$. We demonstrate that, for very slow pumping, ${\bar I}$ and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. L. Polianski , P. W. Brouwer

We study the current noise through an unbiased quantum electron pump and its mesoscopic fluctuations for arbitrary temperatures and beyond the bilinear response. In the bilinear regime, we find the full distributions of the noise power and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. L. Polianski , M. G. Vavilov , P. W. Brouwer

Based on the scattering matrix approach, we systematically investigate the anharmonic effect of the pumped current in double-barrier structures with adiabatic time-modulation of two sinusoidal AC driven potential heights. The pumped current…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Wei-Yin Deng , Ke-Ju Zhong , Rui Zhu , Wen-Ji Deng

We introduce a systematic procedure based on optimal control theory to address the full counting statistics of particle transport in a stochastic system. Our approach enhances the performance of a Thouless pump in the non-adiabatic regime…

During the last years there has been an increasing excitement in nanomotors and particularly in current-driven nanomotors. Despite the broad variety of stimulating results found, the regime of strong Coulomb interactions has not been fully…

Mesoscale and Nanoscale Physics · Physics 2017-10-24 Hernan L. Calvo , Federico D. Ribetto , Raúl A. Bustos-Marún

Non-adiabatic pumping of discrete charges, realized by a dynamical quantum dot in an AlGaAs/GaAs heterostructure, is studied under influence of a perpendicular magnetic field. Application of an oscillating voltage in the GHz-range to one of…

We study how dephasing affects the distribution of the dc current pumped through a chaotic quantum dot. We introduce dephasing by the addition of a voltage probe to the quantum dot, treating both the case of controlled dephasing (when the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. N. H. J. Cremers , P. W. Brouwer

We propose a random matrix theory to describe the influence of a time-dependent external field on electron transport through open quantum dots. We describe the generation of the current by an oscillating field for the dot, connected to two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Maxim G. Vavilov , V. Ambegaokar , Igor L. Aleiner

Electron transport through two parallel quantum dots is a kind of solid-state realization of double-path interference. We demonstrate that the inter-dot Coulomb correlation and quantum coherence would result in strong current fluctuations…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Feng Li , HuJun Jiao , JuYan Luo , Xin-Qi Li , S. A. Gurvitz

We study DC charge and spin transport through a weakly coupled quantum dot, driven by a non-adiabatic periodic change of system parameters. We generalize the model of Tien and Gordon to simultaneously oscillating voltages and tunnel…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Matthias Braun , Guido Burkard

We investigate theoretically and experimentally stochastic resonance in a quantum dot coupled to electron source and drain via time-dependent tunnel barriers. A central finding is a transition visible in the current noise spectrum as a…

Mesoscale and Nanoscale Physics · Physics 2020-11-12 Robert Hussein , Sigmund Kohler , Johannes C. Bayer , Timo Wagner , Rolf J. Haug

We investigate the noise properties of a zero-dimensional InAs quantum dot (QD) embedded in a GaAs-AlAs-GaAs tunneling structure. We observe an approximately linear dependence of the Fano factor and the current as function of bias voltage.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Nauen , F. Hohls , N. Maire , K. Pierz , R. J. Haug

We study the relation between quantum pumping of charge and the work exchanged with the driving potentials in a strongly interacting ac-driven quantum dot. We work in the large-interaction limit and in the adiabatic pumping regime, and we…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Maria Florencia Ludovico , Massimo Capone

We discuss the use of a hysteretic Josephson junction to detect current fluctuations with frequencies below the plasma frequency of the junction. These adiabatic fluctuations are probed by switching measurements observing the noise-affected…

Mesoscale and Nanoscale Physics · Physics 2010-03-29 J. T. Peltonen , A. V. Timofeev , M. Meschke , J. P. Pekola