Abstract [en]

Wehave analyzed the electronic spectrum and wave-function characteristics of astrongly correlated two-electron quantum ring with model parameters close tothose observed in experiments. The analysis is based on anexact diagonalization of the Hamiltonian in a large B-spline basis.We propose a qubit pair for storing quantum information, whereone component is stored in the total electron spin andone multivalued “quMbit” is represented by the total angular momentum.In this scheme the controlled-NOT quantum gate is demonstrated withnear 100% fidelity for a realistic far-infrared electromagnetic pulse.

Waltersson, Erik

Stockholm University, Faculty of Science, Department of Physics.

2010 (English)Doctoral thesis, comprehensive summary (Other academic)

Abstract [en]

Many-Body Perturbation Theory is put to test as a method for reliable calculations of the electron-electron interaction in two-dimensional quantum dots. We show that second order correlation gives qualitative agreement with experiments on a level which was not found within the Hartree-Fock description. For weaker confinements, the second order correction is shown to be insufficient and higher order contributions must be taken into account. We demonstrate that all order Many-Body Perturbation Theory in the form of the Coupled Cluster Singles and Doubles method yields very reliable results for confinements close to those estimated from experimental data. The possibility to use very large basis sets is shown to be a major advantage compared to Full Configuration Interaction approaches, especially for more than five confined electrons.

Also, the possibility to utilize two-electron correlation in combination with tailor made potentials to achieve useful properties is explored. In the case of a two-dimensional quantum dot molecule we vary the interdot distance, and in the case of a two-dimensional quantum ring we vary the ring radius, in order to alter the spectra. In the latter case we demonstrate that correlation in combination with electromagnetic pulses can be used for the realization of quantum logical gates.

Research subject

Identifiers

Public defence

Opponent

Reimann, Stephanie

Lunds Tekniska Högskola, Matematisk fysik.

Supervisors

Lindroth, Eva

Stockholm University, Faculty of Science, Department of Physics.

Note

At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 5: Manuscript.Available from: 2010-05-11 Created: 2010-05-02 Last updated: 2010-05-03Bibliographically approved