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We develop generalization of the fixed-phase diffusion Monte Carlo method for Hamiltonians which explicitly depend on particle spins such as for spin-orbit interactions. The method is formulated in zero variance manner and is similar to…

Strongly Correlated Electrons · Physics 2016-04-13 Cody A. Melton , Minyi Zhu , Shi Guo , Alberto Ambrosetti , Francesco Pederiva , Lubos Mitas

We develop a methodology for performing approximate optimal control simulations for quantum systems with multiple interacting degrees of freedom. The quantum dynamics are modeled using the first-order Magnus approximation in the interaction…

Quantum Physics · Physics 2020-08-05 Andrew Ma , Alicia B. Magann , Tak-San Ho , Herschel Rabitz

We address the issue of accurately treating interaction effects in the mesoscopic regime by investigating the ground state properties of isolated irregular quantum dots. Quantum Monte Carlo techniques are used to calculate the distributions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Amit Ghosal , C. J. Umrigar , Hong Jiang , Denis Ullmo , Harold U. Baranger

We model a spin-phase transition in a two-dimensional square array, or a lateral superlattice, of quantum rings in an external perpendicular homogeneous magnetic field. The electron system is placed in a circular cylindrical far-infrared…

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 investigate the entanglement between the spins of two quantum dots that are not connected at once to the same system. Quantum entanglement between localized spins is an essential property for the development of quantum computing and…

Strongly Correlated Electrons · Physics 2023-03-31 C. A. Büsser

We study the spin-spin interaction between quantum dots coupled through a two dimensional electron gas with spin-orbit interaction. We show that the interplay between transverse electron focusing and spin-orbit coupling allows to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Usaj , C. A. Balseiro

The adaptive perturbation method decomposes a Hamiltonian by the diagonal elements and non-diagonal elements of the Fock state. The diagonal elements of the Fock state are solvable but can contain the information about coupling constants.…

High Energy Physics - Theory · Physics 2020-12-25 Chen-Te Ma

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

The exact diagonalization technique is used to study many-particle properties of interacting electrons with spin, confined in a two-dimensional harmonic potential. The single-particle basis is limited to the lowest Landau level. The results…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Koskinen , S. M. Reimann , J. -P. Nikkarila , M. Manninen

We consider Bayesian estimate of static magnetic field, characterized by a prior Gaussian probability distribution, in systems of a few electron quantum dot spins interacting with infinite temperature spin environment via hyperfine…

Quantum Physics · Physics 2016-11-15 Paweł Mazurek , Michał Horodecki , Łukasz Czekaj , Paweł Horodecki

We study a model of bosons in the lowest Landau level in a rotating trap where the confinement potential is a sum of a quadratic and a quartic term. The quartic term improves the stability of the system against centrifugal deconfinement and…

Quantum Gases · Physics 2015-06-12 Nicolas Rougerie , Jakob Yngvason , Sylvia Serfaty

In this article, the interaction of an arbitrary number of quantum dots, behaving as artificial molecules, with different energy levels and multi-mode electromagnetic field is studied. We make the assumption that each quantum dot can be…

Quantum Physics · Physics 2015-09-30 Amir Hossein Sadeghi , Ali Naqavi , Sina Khorasani

Using a classical and quantum mechanical analysis, we show that the magnetic field gives rise to dynamical symmetries of a three-dimensional axially symmetric two-electron quantum dot with a parabolic confinement. These symmetries manifest…

Condensed Matter · Physics 2009-11-07 N. S. Simonovic , R. G. Nazmitdinov

Traditional multiconfiguration Hartree-Fock (MCHF) and configuration interaction (CI) methods are based on a single orthonormal orbital basis (OB). For atoms with complicated shell structures, a large OB is needed to saturate all the…

Atomic Physics · Physics 2015-06-12 S. Verdebout , P. Rynkun , P. Jönsson , G. Gaigalas , C. Froese Fischer , M. Godefroid

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a…

Materials Science · Physics 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adam Rycerz , Jozef Spalek

The Fock-Darwin (FD) quantum system describes the motion on the plane of a charged particle under the action of an isotropic oscillator potential together with a perpendicular constant magnetic field. When the isotropic oscillator is…

Quantum Physics · Physics 2026-04-30 Ignacio Baena-Jimenez , Angel Ballesteros , Ivan Gutierrez-Sagredo

We consider the motion of electrons confined to a two dimensional plane with an externally applied perpendicular inhomogeneous magnetic field, both with and without a Coulomb potential. We find that as long as the magnetic field is…

Mesoscale and Nanoscale Physics · Physics 2016-08-05 C. A. Downing , M. E. Portnoi

In this paper we present a computational procedure that utilizes real-space grids to obtain high precision approximations of electrostatically confined few-electron states such as those that arise in gated semiconductor quantum dots. We use…

Mesoscale and Nanoscale Physics · Physics 2023-01-27 Christopher R. Anderson , Mark F. Gyure , Sam Quinn , Andrew Pan , Richard S. Ross , Andrey A. Kiselev