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This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It determines the current, the dissipation, the noise and the…

Mathematical Physics · Physics 2009-11-10 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun

Recent theoretical calculations, demonstrating that quantized charge transfer due to adiabatically modulated potentials in mesoscopic devices can result purely from the interference of the electron wave functions (without invoking…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 O. Entin-Wohlman , A. Aharony , V. Kashcheyevs

The possibility of non-adiabatic electron pumping in the system of three coupled quantum dots attached to the leads is discussed. We have found out that periodical changing of energy level position in the middle quantum dot results in non…

Mesoscale and Nanoscale Physics · Physics 2012-06-25 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

We have investigated pumping in quantum dots from the perspective of non-Abelian (matrix) Berry phases by solving the time dependent Schr{\"o}dinger equation exactly for adiabatic changes. Our results demonstrate that a pumped charge is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. Y. Hwang , S. C. Kim , P. S. Park , S. -R. Eric Yang

A d.c. current can be pumped through a quantum dot by periodically varying two independent parameters $X_1$ and $X_2$, like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. W. Brouwer

We study adiabatic quantum pumping in the resonant tunneling regime of a nearly-closed quantum dot, which is coupled to two leads via tunneling barriers. Using small cyclic variations of the tunneling rates of the barriers as the pumping…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Blaauboer , E. J. Heller

We consider the process of pumping charge through an open quantum system, motivated by the example of a quantum dot with strong repulsive or attractive electron-electron interaction. Using the geometric formulation of adiabatic nonunitary…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 T. Pluecker , M. R. Wegewijs , J. Splettstoesser

A ballistic atom pump is a system containing two reservoirs of neutral atoms or molecules and a junction connecting them containing a localized time-varying potential. Atoms move through the pump as independent particles. Under certain…

Quantum Gases · Physics 2015-11-23 Tommy A. Byrd , Kunal K. Das , Kevin A. Mitchell , Seth Aubin , John B. Delos

We numerically study the parametric pumped current when magnetic field is applied both in the adiabatic and non-adiabatic regimes. In particular, we investigate the nature of pumped current for systems with resonance as well as…

Mesoscale and Nanoscale Physics · Physics 2017-01-09 Fuming Xu , Yanxia Xing , Jian Wang

We study a one-dimensional quantum pump composed of two oscillating delta-functional barriers. The linear and non-linear regimes are considered. The harmonic signal applied to any or both barriers causes the stationary current. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. M. Mahmoodian , L. S. Braginskii , M. V. Entin

We look at the time dependent fluctuations of the electrical charge in an open 1D quantum system represented by a quantum dot experiencing random lateral motion. In essentially non-adiabatic settings we study both diffusive and ballistic…

Chaotic Dynamics · Physics 2016-04-19 Stanislav Derevyanko , Daniel Waltner

In this Letter, we consider the adiabatic charge transport through a normal mesoscopic sample sandwiched by superconductors without modulation of local chemical potentials. The deformation of coherent quasiparticles in the normal metal in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Fei Zhou

We investigate the statistical fluctuations of currents in chaotic quantum dots induced by pumping and rectification at finite temperature and in the presence of dephasing. In open quantum dots, dc currents can be generated by the action of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Martinez-Mares , C. H. Lewenkopf , E. R. Mucciolo

We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. Using the tools of adiabatic expansion, we develop a self-contained thermodynamic description of this model…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Daniele Nello , Alessandro Silva

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 develop a unified treatment of pumping and nonequilibrium thermodynamics. We show that the pumping current generated through an adiabatic mechanical operation in equilibrium can be expressed in terms of the stationary distribution of the…

Statistical Mechanics · Physics 2014-08-22 Naoko Nakagawa

We consider the prototypical "piston pump" operating on a ring, where a circulating current is induced by means of an AC driving. This can be regarded as a generalized Fermi-Ulam model, incorporating a finite-height moving wall (piston) and…

Chaotic Dynamics · Physics 2012-05-08 Maya Chuchem , Thomas Dittrich , Doron Cohen

We investigate current-current correlations of adiabatic charge pumping through interacting quantum dots weakly coupled to reservoirs. To calculate the zero-frequency noise for a time-dependently driven system, possibly in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-06-05 Roman-Pascal Riwar , Janine Splettstoesser , Jürgen König

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 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
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