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Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

We study the single-particle density of states of one-dimensional and two-dimensional quantum disordered systems with long-range interactions. We consider a $1/\sqrt{r}$ interaction in one dimension and a Coulomb interaction in two…

Disordered Systems and Neural Networks · Physics 2015-03-20 M. Pino , A. M. Somoza , M. Ortuño

A full strength Coulomb interaction between trapped electrons can be felt only in absence of a neutralizing background. In order to study quantum degenerate electrons without such a background, an external trap is needed to compensate for…

Quantum Gases · Physics 2016-05-23 Ronen Kroeze , Jom Luiten , Servaas Kokkelmans

We investigate the effect of the Coulomb interaction on the applicability of quantum gates on a system of two Coulomb-coupled quantum dots. We calculate the fidelity for a single- and a two-qubit gate and the creation of Bell states in the…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Juliane Danckwerts , Andreas Knorr , Carsten Weber

We show that a large number of ions stored in a Penning trap, and forming a 2D Coulomb crystal, provides an almost ideal system for scalable quantum computation and quantum simulation. In particular, the coupling of the internal states to…

Quantum Physics · Physics 2009-11-13 D. Porras , J. I. Cirac

We study the capacitance spectra of artificial molecules consisting of two and three coupled quantum dots from an extended Hubbard Hamiltonian model that takes into account quantum confinement, intra- and inter-dot Coulomb interaction and…

Condensed Matter · Physics 2009-10-28 F. Ramirez , E. Cota , S. E. Ulloa

The classical and quantum aspects of planar Coulomb interactions have been studied in detail. In the classical scenario, Action Angle Variables are introduced to handle relativistic corrections, in the scheme of time-independent…

High Energy Physics - Theory · Physics 2009-10-30 Subir Ghosh

Coupled-channel two-particle systems bound by a harmonic trap are discussed in the present paper. We derive the formula that relates the energy levels of such trapped systems to phase shifts and inelasticity of coupled-channel reactions.…

Nuclear Theory · Physics 2022-05-18 Peng Guo , Bingwei Long

We examine the properties of a quantum reflection trap when particle-interaction is included. We explore the influence of the particle-interaction on the trapping for different regimes: repulsive particle-interaction and attractive…

Quantum Physics · Physics 2009-11-13 Alexander Jurisch , Jan-Michael Rost

The manipulation of individual charged particles has been deeply explored in physics's theoretical and experimental domains during the past decades. It is the pillar of several existing devices used for metrology and sensing and is a…

Quantum Physics · Physics 2024-10-25 Marko Toroš , Patrick Andriolo , Martine Schut , Sougato Bose , Anupam Mazumdar

Quantum mechanics dominates various effects in modern research from miniaturizing electronics, up to potentially ruling solid-state physics, quantum chemistry and biology. To study these effects experimental quantum systems may provide the…

Quantum Physics · Physics 2019-09-11 Frederick Hakelberg , Philip Kiefer , Matthias Wittemer , Ulrich Warring , Tobias Schaetz

A quantum system of N Coulomb charges confined within a harmonic trap is considered over a wide range of densities and temperatures. A recently described construction of an equivalent classical system is applied in order to exploit the…

Statistical Mechanics · Physics 2016-11-30 Jeffrey Wrighton , James Dufty , Sandipan Dutta

Quantum-state engineering, i.e., active manipulation over the coherent dynamics of suitable quantum-mechanical systems, has become a fascinating prospect of modern physics. Here we discuss the dynamics of two interacting electrons in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ping Zhang , Xian-Geng Zhao

The formalism developed in Refs.~\cite{Guo:2023ecc,Guo:2024zal,Guo:2024pvt} that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral is further…

High Energy Physics - Lattice · Physics 2025-07-04 Peng Guo , Frank X. Lee

We investigate the quantum breathing mode (monopole oscillation) of trapped fermionic particles with Coulomb and dipole interaction in one and two dimensions. This collective oscillation has been shown to reveal detailed information on the…

Quantum Physics · Physics 2014-03-03 Jan Willem Abraham , Michael Bonitz , Chris McDonald , Gianfranco Orlando , Thomas Brabec

We consider quantum gates for trapped ions using state-selective displacement of the ions. We generalize earlier work in order to treat arbitrary separations between the traps. This requires the impact of anharmonicity arising from the…

Quantum Physics · Physics 2016-09-08 Marek Sasura , Andrew Steane

We study the consequences of long-range Coulomb interactions at the critical points between integer/fractional quantum Hall states and an insulator. We use low energy theories for such transitions in anyon gases in the presence of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jinwu Ye , Subir Sachdev

We study magnetism in magnetically doped quantum dots as a function of confining potential, particle numbers, temperature, and strength of Coulomb interactions. We explore possibility of tailoring magnetism by controlling the…

Materials Science · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak , Igor Zutic

We study variable range hopping in the quantum Hall effect regime in the presence of a metallic gate parallel to the plane of a two-dimensional electron gas. Screening of the Coulomb interaction by the gate causes the partial ``filling'' of…

Condensed Matter · Physics 2009-10-22 I. L. Aleiner , B. I. Shklovskii

We study the influence of electron-electron interactions on the electronic properties of disordered materials. In particular, we consider the insulating side of a metal-insulator transition where screening breaks down and the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Frank Epperlein , Michael Schreiber , Thomas Vojta
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