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We present a general formalism to study adiabatic pumping through interacting quantum dots. We derive a formula that relates the pumped charge to the local, instantaneous Green function of the dot. This formula is then applied to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Janine Splettstoesser , Michele Governale , Jürgen König , Rosario Fazio

We investigate adiabatic pumping via a single level quantum dot induced by periodic modulation of thermodynamic variables of reservoirs, i.e., temperatures and electrochemical potentials. We consider the impurity Anderson model and derive…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 M. Hasegawa , T. Kato

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

Adiabatic quantum pumping in noninteracting, phase coherent quantum dots is elegantly described by Brouwer's formula. Interactions within the dot, while suppressing phase coherence, make Brouwer's formalism inapplicable. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Davide Fioretto , Alessandro Silva

We study adiabatic pumping through a two-level quantum dot with spin-orbit coupling. Using a diagrammatic real-time approach, we calculate both the pumped charge and spin for a periodic variation of the dot's energy levels in the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 Stephan Rojek , Jürgen König , Alexander Shnirman

We consider the phenomenon of quantum charge pumping of electrons across a superconducting double barrier structure in graphene in the adiabatic limit. In this geometry, quantum charge pumping can be achieved by modulating the amplitudes…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arijit Kundu , Sumathi Rao , Arijit Saha

We use exact techniques to demonstrate theoretically the pumping of fractional charges in a single-level non-interacting quantum dot, when the dot-reservoir coupling is adiabatically driven from weak to strong coupling. The pumped charge…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Masahiro Hasegawa , Etienne Jussiau , Robert S. Whitney

We study non-adiabatic charge pumping through single-level quantum dots taking into account Coulomb interactions. We show how a truncated set of equations of motion can be propagated in time by means of an auxiliary-mode expansion. This…

Mesoscale and Nanoscale Physics · Physics 2012-01-12 Alexander Croy , Ulf Saalmann , Alexis R. Hernández , Caio H. Lewenkopf

We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating…

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

We investigate the effect of inter-particle interaction on the quantized Thouless pump in the bosonic quasiperiodic Aubry-Andr{\'e} model and find that the quantization of the pumped charge breaks down already for weak interactions.…

Quantum Gases · Physics 2026-01-27 Suman Mondal , Emmanuel Gottlob , Fabian Heidrich-Meisner , Ulrich Schneider

We have numerically studied a non-adiabatic charge transport in the quantum Hall system pumped by a magnetic flux, as one of the simplest theoretical realizations of non-adiabatic Thouless pumping. In the adiabatic limit, a pumped charge is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Maruyama , Y. Hatsugai

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 the adiabatic charge transport through zero-dimensional mesoscopic sample (quantum dot) caused by two periodically changing external perturbations. Both the magnitude and the sign of the transmitted charge are extremely…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. A. Shutenko , I. L. Aleiner , B. L. Altshuler

We consider the effect of electron-electron interactions on a voltage biased quantum point contact in the tunneling regime used as a detector of a nearby qubit. We model the leads of the quantum point contact as Luttinger liquids,…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 Gleb Skorobagatko , Anton Bruch , Silvia Viola Kusminskiy , Alessandro Romito

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

We investigate the parametric electron pumping of a double barrier structure in the presence of a superconducting lead. The parametric pumping is facilitated by cyclic variation of the barrier heights $x_1$ and $x_2$ of the barriers. In the…

Condensed Matter · Physics 2009-11-07 Jian Wang , Baigeng Wang

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 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

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 an adiabatic spin pumping through a quantum dot with a single orbital energy level under the Zeeman effect. Electron pumping is produced by two periodic time dependent parameters, a magnetic field and a difference of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tomosuke Aono