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Hyperfine interaction of electron spins with nuclear spins, in coupled double quantum dots is studied. Results of successive electron spin measurements exhibit bunching due to correlations induced via the nuclear spins. Further nuclear…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ozgur Cakir , Toshihide Takagahara

The energy and wave function of a harmonically confined two-electron system coupled to light is calculated by separating the wave functions of the relative and center of mass (CM) motions. The relative motion wave function has a known…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Chenhang Huang , Alexander Ahrens , Matthew Beutel , Kalman Varga

We present a quantum electronic embedding method derived from the exact factorization approach to calculate static properties of a many-electron system. The method is exact in principle but the practical power lies in utilizing input from a…

Strongly Correlated Electrons · Physics 2020-05-27 Lionel Lacombe , Neepa T. Maitra

We present an analytically solvable model of $P$ colinear, two-dimensional quantum dots, each containing two electrons. Inter-dot coupling via the electron-electron interaction gives rise to sets of entangled ground states. These ground…

Condensed Matter · Physics 2009-10-28 Simon C. Benjamin , Neil F. Johnson

We present a novel approach to calculating strong field ionization dynamics of multielectron molecular targets. Adopting a multielectron wavefunction ansatz based on field-free ab initio neutral and ionic multielectron states, a set of…

Atomic Physics · Physics 2015-05-14 Michael Spanner , Serguei Patchkovskii

Starting from the full many-body Hamiltonian of interacting electrons the effective self-energy acting on electrons residing in a subspace of the full Hilbert space is derived. This subspace may correspond to, for example, partially filled…

Strongly Correlated Electrons · Physics 2010-10-20 F. Aryasetiawan , J. M. Tomczak , T. Miyake , R. Sakuma

The spectra of quantum dots of different geometry (``quantum ring'', ``quantum cylinder'', ``spherical square-well'' and ``parabolic confinement'') are studied. The stochastic variational method on correlated Gaussian basis functions and a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Varga , P. Navratil , J. Usukura , Y. Suzuki

We derive a local approximation for the correlation energy in two-dimensional electronic systems. In the derivation we follow the scheme originally developed by Colle and Salvetti for three dimensions, and consider a Gaussian approximation…

Strongly Correlated Electrons · Physics 2008-11-21 S. Pittalis , E. Rasanen , M. Marques

Starting from the random phase approximation for the weakly coupled multiband tightly-bounded electron systems, we calculate the dielectric matrix in terms of intraband and interband transitions. The advantages of this representation with…

Condensed Matter · Physics 2016-08-31 P. Zupanovic , A. Bjelis , S. Barisic

We consider a system of three particles, either three identical bosons or two identical fermions plus an impurity, within a three-dimensional isotropic trap interacting via a contact interaction. Using two approaches, one using an infinite…

Quantum Gases · Physics 2024-05-03 A. D. Kerin , A. M. Martin

Multiphonon processes in a model quantum dot (QD) containing two electronic states and several optical phonon modes are considered taking into account both intra- and inter-level terms. The Hamiltonian is exactly diagonalized including a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Vasilevskiy , E. V. Anda , S. S. Makler

Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can interacting systems always equilibrate…

Wavefunctions constructed from electron-pair states can accurately model strong electron correlation effects and are promising approaches especially for larger many-body systems. In this article, we analyze the nature and the type of…

Strongly Correlated Electrons · Physics 2016-10-19 Katharina Boguslawski , Paweł Tecmer , Örs Legeza

Resonance states of a two-electron quantum dot are studied using a variational expansion with both real basis-set functions and complex scaling methods. The two-electron entanglement (linear entropy) is calculated as a function of the…

Quantum Physics · Physics 2010-04-29 Federico M. Pont , Omar Osenda , Pablo Serra , Julio H. Toloza

A new approach for describing the effective electronic states of "atoms in compounds" to study the properties of molecules and condensed matter which are circumscribed by the operators heavily concentrated in atomic cores is proposed. Among…

Chemical Physics · Physics 2014-12-02 Anatoly V. Titov , Yuriy V. Lomachuk , Leonid V. Skripnikov

We present the fully general time-dependent multiconfiguration self-consistent-field method to describe the dynamics of a system consisting of arbitrary different kinds and numbers of interacting fermions and bosons. The total wave function…

Atomic Physics · Physics 2017-10-11 Ryoji Anzaki , Takeshi Sato , Kenichi L. Ishikawa

We develop a time-dependent variational Monte Carlo (t-VMC) method for quantum dynamics of strongly correlated electrons. The t-VMC method has been recently applied to bosonic systems and quantum spin systems. Here, we propose a…

Strongly Correlated Electrons · Physics 2015-12-22 Kota Ido , Takahiro Ohgoe , Masatoshi Imada

Calculations for two electrons in an elliptic quantum dot, using symmetry breaking at the unrestricted Hartree-Fock level and subsequent restoration of the broken parity via projection techniques, show that the electrons can localize and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Constantine Yannouleas , Uzi Landman

The strong mixing of many-electron basis states in excited atoms and ions with open $f$ shells results in very large numbers of complex, chaotic eigenstates that cannot be computed to any degree of accuracy. Describing the processes which…

Atomic Physics · Physics 2016-01-20 J. C. Berengut , C. Harabati , V. A. Dzuba , V. V. Flambaum , G. F. Gribakin

The computation of strongly correlated quantum systems is challenging because of its potentially exponential scaling in the number of electron configurations. Variational calculation of the two-electron reduced density matrix (2-RDM)…

Quantum Physics · Physics 2021-04-01 David A. Mazziotti