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A model physical problem is studied in which a system of two electrons is subject either to soft confinement by means of attractive oscillator potentials or by entrapment within an impenetrable spherical box of finite radius $R.$ When hard…

Mathematical Physics · Physics 2015-02-02 Richard L. Hall , Nasser Saad , K. D. Sen

While the dynamics for three-dimensional axially symmetric two-electron quantum dots with parabolic confinement potentials is in general non-separable we have found an exact separability with three quantum numbers for specific values of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. G. Nazmitdinov , N. S. Simonovic , Jan M. Rost

An analytical model of a single-atom electron source is presented, where electrons are created by near-threshold photoionization of an isolated atom. The model considers the classical dynamics of the electron just after the photon…

Atomic Physics · Physics 2014-07-29 W. J. Engelen , E. J. D. Vredenbregt , O. J. Luiten

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives…

Quantum Physics · Physics 2009-10-11 Bulent Gonul , Ebru Bakir , Koray Koksal

The phase of a single quantum state is undefined unless the history of its creation provides a reference point. Thus quantum interference may seem hardly relevant for the design of deterministic single-electron sources which strive to…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Vyacheslavs Kashcheyevs , Janis Timoshenko

We study the transient heat current out of a confined electron system into a weakly coupled electrode in response to a voltage switch. We show that the decay of the Coulomb interaction energy for this repulsive system exhibits signatures of…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 J. Schulenborg , R. B. Saptsov , F. Haupt , J. Splettstoesser , M. R. Wegewijs

The problem of electron--electron lifetime in a quantum dot is studied beyond perturbation theory by mapping it onto the problem of localization in the Fock space. We identify two regimes, localized and delocalized, corresponding to…

Condensed Matter · Physics 2008-04-12 B. L. Altshuler , Y. Gefen , A. Kamenev , L. S. Levitov

This paper proposes a universal microscopic model for the shallow confinement regime of single-electron tunneling devices. We consider particle escape from a quantum well generically emerging as a bifurcation in a smooth electrostatic…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Austris Akmentinsh , Niels Ubbelohde , Vyacheslavs Kashcheyevs

We investigate a recombination-drift-diffusion model coupled to Poisson's equation modelling the transport of charge within certain types of semiconductors. In more detail, we study a two-level system for electrons and holes endowed with an…

Analysis of PDEs · Mathematics 2021-11-24 Klemens Fellner , Michael Kniely

We analyze the dynamics of a single-level quantum dot with Coulomb interaction, weakly tunnel coupled to an electronic reservoir, after it has been brought out of equilibrium, e.g. by a step-pulse potential. We investigate the exponential…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 L. Debora Contreras-Pulido , Janine Splettstoesser , Michele Governale , Jürgen König , Markus Büttiker

One-gap and two-gap separable Lame potentials are studied in detail. For the one-dimensional case, we construct the dispersion relation graph E(k) and for the three-dimensional case we construct the Fermi surfaces in the first and second…

Other Condensed Matter · Physics 2007-11-20 Victor G. Baryakhtar , Eugene D. Belokolos , Oleksandr V. Dmytriiev

We study the effect of electron-electron interaction on a two dimensional (2D) disordered lattice. For the case of two electrons the analytical estimates are presented showing a transition from localized to delocalized states in a way…

Condensed Matter · Physics 2017-09-27 Dima L. Shepelyansky , Pil Hun Song

The interaction between a qubit and its environment provides a channel for energy relaxation which has an energy-dependent timescale governed by the specific coupling mechanism. We measure the rate of inelastic decay in a Si MOS double…

Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical…

Quantum Physics · Physics 2015-05-18 E. Torrontegui , J. G. Muga , J. Martorell , D. W. L. Sprung

We provide a physical analysis of the charging and detection of the first few electrons in a laterally-coupled GaAs/AlGaAs quantum dot (LCQD) circuit with integrated quantum point contact (QPC) read-out. Our analysis is based on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. -X. Zhang , P. Matagne , J. P. Leburton , R. Hanson , L. P. Kouwenhoven

The chemical potential of a quantum dot parabolically confining one or two electrons is studied in an axial magnetic field. The number of electrons in the dot is given by combination between the chemical potentials of the dots and leads.…

Mesoscale and Nanoscale Physics · Physics 2008-03-17 Qing-Rui Dong

We present an experimental study of the dynamics underlying the buildup and decay of dynamical nuclear spin polarization in a single semiconductor quantum dot. Our experiment shows that the nuclei can be polarized on a time scale of a few…

Optics · Physics 2007-08-02 P. Maletinsky , A. Badolato , A. Imamoglu

We study the dynamics of a quantum dot embedded in a three-dimensional microcavity in the strong coupling regime in which the quantum dot exciton has an energy close to the frequency of a confined cavity mode. Under the continuous pumping…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. I. Perea , D. Porras , C. Tejedor

We consider the Emery model of a Cu-O plane of the high temperature superconductors. We show that in a strong-coupling limit, with strong Coulomb repulsions between electrons on nearest-neighbor O sites, the electron-dynamics is strictly…

Strongly Correlated Electrons · Physics 2016-08-31 Steven A. Kivelson , Eduardo Fradkin , Theodore Geballe

The electron would decay into a photon and neutrino if the law of electric charge conservation is not respected. Such a decay would cause vacancy in closed shells of atoms giving rise to emission of x-rays and Auger electrons. Experimental…

High Energy Physics - Theory · Physics 2007-05-23 T. Pradhan