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Quantum effects on a neutral particle (atom or molecule) with an induced electric dipole moment are investigated when it is subject to the Kratzer potential and a scalar potential proportional to the radial distance. In addition, this…

Quantum Physics · Physics 2017-06-29 Abinael B. Oliveira , Knut Bakke

Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schr\"odinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A…

Quantum Physics · Physics 2014-01-27 Erasmo M. Ferreira , Javier Sesma

We examine the suppression of quantum beating in a one dimensional non- linear double well potential, made up of two focusing nonlinear point interactions. The investigation of the Schr\"odinger dynamics is reduced to the study of a system…

Mathematical Physics · Physics 2016-10-04 Raffaele Carlone , Rodolfo Figari , Claudia Negulescu

We examine the quality of the local self-energy approximation, applied here to models of multiple quantum impurities coupled to an electronic bath. The local self-energy is obtained by solving a single-impurity Anderson model in an…

Strongly Correlated Electrons · Physics 2015-10-05 Andrew K. Mitchell , Ralf Bulla

We study quantum mechanics problem described by the Schr\"{o}dinger equation with Kapitza pendulum potential, that is the asymmetric double-well potential on the circle. For the oscillatory states spatially localize around the two stable…

Quantum Physics · Physics 2023-01-18 Wei He , Chang-Yong Liu

We present a detailed analysis of the electronic and optical properties of two-electron quantum dots with a two-dimensional Gaussian confinement potential. We study the effects of Coulomb impurities and the possibility of manipulate the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Diego S. Acosta Coden , Rodolfo H. Romero , Alejandro Ferrón , Sergio S. Gomez

An approach is developed for constructing simple analytical formulae accurately approximating solutions to eigenvalue problems of quantum mechanics. This approach is based on self-similar approximation theory. In order to derive…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova , S. Gluzman

An insulating optical lattice with double-well sites is considered. In the case of the unity filling factor, an effective Hamiltonian in the pseudospin representation is derived. A method is suggested for manipulating the properties of the…

Quantum Gases · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

We unravel the correlated quantum quench dynamics of a single impurity immersed in a bosonic environment confined in an one-dimensional double-well potential. A particular emphasis is placed on the structure of the time-evolved many-body…

Quantum Gases · Physics 2023-03-03 Jie Chen , Simeon I. Mistakidis , Peter Schmelcher

We consider a double-quantum-dot (DQD) qubit which contains six electrons instead of the usual one or two. In this spin qubit, quantum information is encoded in a low-lying singlet-triplet space much as in the case of a two-electron DQD…

Mesoscale and Nanoscale Physics · Physics 2013-11-21 Erik Nielsen , Edwin Barnes , J. P. Kestner , S. Das Sarma

Extensions of dynamical-mean-field-theory (DMFT) make use of quantum impurity models as non-perturbative and exactly solvable reference systems which are essential to treat the strong electronic correlations. Through the introduction of…

Strongly Correlated Electrons · Physics 2017-09-25 F. Krien , E. G. C. P. van Loon , H. Hafermann , J. Otsuki , M. I. Katsnelson , A. I. Lichtenstein

Interelectron interactions and correlations in quantum dots can lead to spontaneous symmetry breaking of the self-consistent mean field resulting in formation of Wigner molecules. With the use of spin-and-space unrestricted Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Constantine Yannouleas , Uzi Landman

A Gedanken experiment is described to explore a counter-intuitive property of quantum mechanics. A particle is placed in a one-dimensional infinite well. The barrier on one side of the well is suddenly removed and the chamber dramatically…

Quantum Physics · Physics 2017-05-11 Bernhard K. Meister

Individual quantum objects display inseparable coexisting wave-like properties and particle-like properties; such inseparable coexistence can seem paradoxical and mind-boggling. The apparent paradox is resolved by the unified theory of…

General Physics · Physics 2014-09-04 Greyson Gilson

A parametrized double-well potential is proposed to address the issue of the impact of shape deformability of some bistable physical systems, on their quantum dynamics and classical statistical mechanics. The parametrized double-well…

Statistical Mechanics · Physics 2021-10-07 F. Naha Nzoupe , Alain M. Dikande , C. Tchawoua

We introduce a model motivated by studies of Bose-Einstein condensates (BECs) trapped in double-well potentials. We assume that a mixture of two hyperfine states of the same atomic species is loaded in such a trap.The analysis is focused on…

Pattern Formation and Solitons · Physics 2009-11-13 C. Wang , P. G. Kevrekidis , N. Whitaker , B. A. Malomed

We propose a quantum computation architecture of double-dot molecules, where the qubit is encoded in the molecule two-electron spin states. By arranging the two dots inside each molecule perpendicular to the qubit scaling line, the…

Quantum Physics · Physics 2009-11-13 Hui Zhang , Guo-Ping Guo , Tao Tu , Guang-Can Guo

By exploiting the hidden algebraic structure of the Schrodinger Hamiltonian, namely the sl(2), we propose a unified approach of generating both exactly solvable and quasi-exactly solvable quantum potentials. We obtain, in this way, two new…

Mathematical Physics · Physics 2009-11-10 B. Bagchi , A. Ganguly

We theoretically consider the effects of having unintentional charged impurities in laterally coupled two-dimensional double (GaAs) quantum dot systems, where each dot contains one or two electrons and a single charged impurity in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Nga T. T. Nguyen , S. Das Sarma

We consider a bilayer geometry where a single impurity moves in a two-dimensional plane and is coupled, via dipolar interactions, to a two-dimensional system of fermions residing in the second layer. Dipoles in both layers point in the same…

Quantum Gases · Physics 2015-06-16 Natalia Matveeva , Stefano Giorgini