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Related papers: Adiabatic charge pumping in open quantum systems

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This paper is devoted to the analysis of an abstract formula describing quantum adiabatic charge pumping in a general context. We consider closed systems characterized by a slowly varying time-dependent Hamiltonian depending on an external…

Mathematical Physics · Physics 2010-02-08 A. Joye , V. Brosco , F. Hekking

Quantum pumping in closed systems is considered. We explain that the Kubo formula contains all the physically relevant ingredients for the calculation of the pumped charge ($Q$) within the framework of linear response theory. The relation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Doron Cohen

We consider adiabatic charge transport through an almost open quantum dot. We show that the charge transmitted in one cycle is quantized in the limit of vanishing temperature and one-electron mean level spacing in the dot. The explicit…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Aleiner , A. V. Andreev

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

The Schroedinger equation with a potential periodically varying in time is used to model adiabatic quantum pumps. The systems considered may be either infinitely extended and gapped or finite and connected to gapless leads. Correspondingly,…

Mathematical Physics · Physics 2015-05-13 G. Braeunlich , G. M. Graf , G. Ortelli

Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows to analyze both the charge transport and the associated dissipation effect. We make a distinction…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Doron Cohen

We investigate the distribution function, the heat flow and the noise properties of an adiabatic quantum pump for an arbitrary relation of pump frequency $\omega$ and temperature. To achieve this we start with the scattering matrix approach…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

In the adiabatic and weak-modulation quantum pump, net electron flow is driven from one reservoir to the other by absorbing or emitting an energy quantum $\hbar \omega $ from or to the reservoirs. In our approach, high-order dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 Rui Zhu

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

During an adiabatic pumping cycle a conventional two barrier quantum device takes an electron from the left lead and ejects it to the right lead. Hence the pumped charge per cycle is naively expected to be $Q \le e$. This zero order…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Itamar Sela , Doron Cohen

A confined system of non-interacting electrons, subject to the combined effect of a time-dependent potential and different external chemical-potentials, is considered. The current flowing through such a system is obtained for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Levinson

We study charge and spin transport through an interacting quantum wire, caused by backscattering off an effective impurity potential with a periodic time-dependence. The adiabatic regime of this pump for charge and spin is shown to depend…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Prashant Sharma , Claudio Chamon

We use the equations of motion of non-interacting electrons in a one-dimensional system to numerically study different aspects of charge pumping. We study the effects of the pumping frequency, amplitude, band filling and finite bias on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Amit Agarwal , Diptiman Sen

We examine adiabatic quantum pumping generated by an oscillating scatterer embedded in a one-dimensional ballistic ring and compare it with pumping caused by the same scatterer connected to external reservoirs. The pumped current for an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Moskalets , M. Buttiker

We study adiabatic charge pumping through a quantum dot placed at the junction of $N$ quantum wires. We explicitly map out the pattern of pumped charge as a function of the time-varying tunneling parameters coupling the wires to the dot and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shamik Banerjee , Anamitra Mukherjee , Sumathi Rao , Arijit Saha

We compare the charges transported in two systems, a spatially periodic and an open quantum pump, both depending periodically and adiabatically on time. The charge transported in a cycle was computed by Thouless, respectively by Buttiker et…

Mathematical Physics · Physics 2009-11-13 Gian Michele Graf , Gregorio Ortelli

We review Floquet formalism of quantum electron pumps. In the Floquet formalism the quantum pump is regarded as a time dependent scattering system, which allows us to go beyond the adiabatic limit. It can be shown that the well-known…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sang Wook Kim

We investigate the influence of the Coulomb interaction on the adiabatic pumping current through quantum dots. Using nonequilibrium Green's functions techniques, we derive a general expression for the current based on the instantaneous…

Mesoscale and Nanoscale Physics · Physics 2009-09-16 A. R. Hernández , F. A. Pinheiro , C. H. Lewenkopf , E. R. Mucciolo

We analyze the operation of a molecular machine driven by the non-adiabatic variation of external parameters. We derive a formula for the integrated flow from one configuration to another, obtain a "no-pumping theorem" for cyclic processes…

Statistical Mechanics · Physics 2008-10-08 Saar Rahav , Jordan Horowitz , Christopher Jarzynski

We give a pedestrian interpretation of a formula of Buttiker et. al. (BPT) relating the adiabatically pumped current to the S matrix and its (time) derivatives. We relate the charge in BPT to Berry's phase and the corresponding Brouwer…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun
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