This thesis deals with electron correlation effects within low-dimensional, mesoscopic systems. We study phenomena within two different types of system in which correlations play an important role. The first involves the spectra and spin structure of small symmetric quantum dots, or &quoteartificial atoms&quote. The second is the &quote0.7 structure&quote, a well-known but mysterious anomalous conductance plateau which occurs in the conductance profile of a quantum point contact. Artificial atoms are manufactured mesoscopic devices: quantum dots which resemble real atoms in that their symmetry gives them a &quoteshell structure&quote. We examine two-dimensional circular artificial atoms numerically, using restricted and unrestricted Hartree-Fock simulation. We go beyond the mean-field approximation by direct calculation of second-order correlation terms; a method which works well for real atoms but to our knowledge has not been used before for quantum dots. We examine the spectra and spin structure of such dots and find, contrary to previous theoretical mean-field studies, that Hund's rule is not followed. We also find, in agreement with previous numerical studies, that the shell structure is fragile with respect to a simple elliptical deformation. The 0.7 structure appears in the conductance of a quantum point contact. The conductance through a ballistic quantum point contact is quantised in units of 2e^2/h. On the lowest conductance step, an anomalous narrow conductance plateau at about G = 0.7 x 2e^2/h is known to exist, which cannot be explained in the non-interacting picture. Based on suggestive numerical results, we model conductance through the lowest channel of a quantum point contact analytically. The model is based on the screening of the electron-electron interaction outside the QPC, and our observation that the wavefunctions at the Fermi level are peaked within the QPC. We use a kinetic equation approach, with perturbative account of electron-electron backscattering, to demonstrate that these simple features lead to the existence of a 0.7-like structure in the conductance. The behaviour of this structure reproduces experimentally observed features of the 0.7 structure, including the temperature dependence and the behaviour under applied in-plane magnetic fields.

Thesis (Ph.D.)--University of Delaware, 2008. / Principal faculty advisors: Valeria Gabriela Stoleru, Dept. of Materials Science & Engineering; and S. Ismat Shah, Dept. of Materials Science. Includes bibliographical references.

Thesis (Ph. D.)--Biomedical Engineering, Georgia Institute of Technology, 2008. / Committee Chair: Nie, Shuming; Committee Member: Bao, Gang; Committee Member: Chung, Leland; Committee Member: Murthy, Niren; Committee Member: Prausnitz, Mark.

Thesis (Ph.D.)--University of Melbourne, Center for Quantum Computing Technology,School of Physics, 2007. / Typescript. Includes bibliographical references (leaves 237-257).

Thesis (Ph. D.)--Northeastern University, 2008. / Title from title page (viewed March 25, 2009). Graduate School of Arts and Sciences, Dept. of Physics. Includes bibliographical references (p. 292-298).

Thesis (Ph. D.)--Ohio University, June, 2004. / Includes bibliographical references (p. 167-171).

Thesis (Ph.D.)--Ohio University, June, 2004. / Title from PDF t.p. Includes bibliographical references (p. 167-171)

Thesis (Ph. D.)--University of Washington, 2007. / Vita. Includes bibliographical references (leaves 246-276).

This thesis is devoted to the development of microfluidic processes for the controlled self-assembly of quantum dot compound micelles (QDCMs). Microfluidic processes are developed to combine the constituents (cadmium sulfide quantum dots, and block copolymer stabilizing chains) with water to facilitate self-assembly of the composite particles, QDCMs, through initial phase separation, subsequent growth, and eventual quenching. Two genres of microfluidic reactors are developed. The on-chip evolution of QDCM formation and growth is resolved through fluorescence microscopy; QDCM size distributions and associated statistics are determined through off-chip analysis by transmission electron microscopy (TEM). In a flow-focusing reactor, control over the mean size of QDCMs is demonstrated through both the water concentration and the growth time (or reactor channel length). Controlled QDCM self-assembly is also demonstrated in a multiphase gas-liquid reactor. In contrast to the flow-focusing reactor, increasing the multiphase reactor channel length results in a decrease in QDCM size and polydispersity.

Ce travail de thèse est centré autour de deux aspects des technologies quantiques: le calcul quantique et la mesure quantique. Il s'appuie sur la boîte à outils de la lumière micro-onde, développé en électrodynamique quantique, pour sonder des circuits mésoscopiques. Ces circuits, fabriqués ici à base de nanotubes de carbone, peuvent être conçus comme des bits quantiques ou comme des systèmes modèles de la matière condensée, et cette thèse explore les deux aspects. La réalisation d'une interface spin-photon cohérente illustre le premier. L'expérience repose sur l'utilisation de contacts ferro-magnétiques pour induire un couplage spin-orbit artificiel dans une double boîte quantique. Ce couplage hybride les degrés de liberté de charge et de spin de l'électron. En incluant ce circuit dans une cavité micro-onde, dont le champ électrique peut être couplé à la charge, nous réalisons une interface spin-photon. Un second projet est centré sur l'utilisation de boîtes quantiques comme systèmes modèles. Ce projet consiste à coupler, via une cavité micro-onde, un qubit supraconducteur, qui servira de sonde peu invasive, et une boîte quantique unique. Un tel circuit peut exhiber différent comportement dont l'effet Kondo, qui est un effet à N-corps. Dans ce travail, nous présentons à la fois une étude théorique, et des travaux expérimentaux. Finalement, un travail en collaboration, sur une proposition théorique pour détecter le caractère auto-adjoint des fermions de Majorana en utilisant une cavité micro-onde, est présenté. / This thesis work is centered around two key aspects of quantum technologies: quantum information processing and quantum sensing. It builds up onto the microwave light toolbox, developed in circuit quantum electrodynamics, to investigate the properties of mesosocopic circuits. Those circuits, made out here of carbon nanotubes, can be designed to act as quantum bits of information or as condensed matter model system and this thesis explore both aspects. The realization of a coherent spin-photon interface illustrates the first one. The experiment relies on ferromagnetic contacts to engineer an artificial spin-orbit coupling in a double quantum dot. This coupling hybridizes the spin and the charge degree of freedom of the electron in this circuit. By embedding this circuit into a microwave cavity, whose electrical field can be coupled to the charge, we realize an artificial spin-photon interface. A second project, started during this thesis, focuses on using quantum dot circuits as model systems. This project consists in coupling, via a microwave cavity, a superconducting qubit, that will serve as a delicate probe, and single quantum dot circuit. Such a circuit can display several behaviors including the Kondo effect which is intrinsically a many-body effect. In this work, we present both a theoretical study of some possible outcomes of this experiment, and experimental developments. Finally, a theoretical proposition to detect the self-adjoint character of Majorana fermions using a microwave cavity, is presented.