Coish, William Anthony. Spins in quantum dots : hyperfine interaction, transport, and coherent control. 2008, Doctoral Thesis, University of Basel, Faculty of Science.
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Official URL: http://edoc.unibas.ch/diss/DissB_8220
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Abstract
This thesis deals with several topics related to spin dynamics and transport of
electrons in quantum dots. We begin with an introduction in Chapter 1, where
we review several important aspects of quantum dots and the microscopic Hamiltonians
governing the dynamics of electron spins in the presence of hyperfine
interaction with nuclei in the surrounding lattice. Chapter 2 provides an exact
solution for single-electron-spin dynamics due to the hyperfine interaction for
the special case of uniform coupling constants, and analyzes the range of validity
of a common semiclassical approximation. Chapter 3 includes a detailed
analysis of the non-Markovian (memory-dependent) dynamics for a localized
electron spin in the presence of the contact hyperfine interaction with a bath of
nuclear spins, including the effects of non-uniform hyperfine coupling constants.
Chapter 4 describes the hyperfine-induced dynamics of two-electron spin states
in terms of a singlet-triplet correlator. Chapter 5 completes our analysis of twoelectron
spin state decay with a description of all possible correlation functions,
exchange-induced Rabi oscillations, and “spin-state narrowing” of the nuclear
spin system, which could extend the lifetime of electron spin states if implemented.
Chapter 6 describes an experiment on transport through a carbonnanotube
double quantum dot, from which information about the strong tunnel
coupling can be obtained. In Chapter 7 we describe a method that could be
used to perform high-fidelity coherent single-spin rotations by pulsing only the
exchange interaction in the presence of fixed static magnetic fields.
Each chapter is based on a separate published or submitted work, with the
relevant reference given following each chapter title.
electrons in quantum dots. We begin with an introduction in Chapter 1, where
we review several important aspects of quantum dots and the microscopic Hamiltonians
governing the dynamics of electron spins in the presence of hyperfine
interaction with nuclei in the surrounding lattice. Chapter 2 provides an exact
solution for single-electron-spin dynamics due to the hyperfine interaction for
the special case of uniform coupling constants, and analyzes the range of validity
of a common semiclassical approximation. Chapter 3 includes a detailed
analysis of the non-Markovian (memory-dependent) dynamics for a localized
electron spin in the presence of the contact hyperfine interaction with a bath of
nuclear spins, including the effects of non-uniform hyperfine coupling constants.
Chapter 4 describes the hyperfine-induced dynamics of two-electron spin states
in terms of a singlet-triplet correlator. Chapter 5 completes our analysis of twoelectron
spin state decay with a description of all possible correlation functions,
exchange-induced Rabi oscillations, and “spin-state narrowing” of the nuclear
spin system, which could extend the lifetime of electron spin states if implemented.
Chapter 6 describes an experiment on transport through a carbonnanotube
double quantum dot, from which information about the strong tunnel
coupling can be obtained. In Chapter 7 we describe a method that could be
used to perform high-fidelity coherent single-spin rotations by pulsing only the
exchange interaction in the presence of fixed static magnetic fields.
Each chapter is based on a separate published or submitted work, with the
relevant reference given following each chapter title.
Advisors: | Loss, Daniel |
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Committee Members: | Altshuler, Boris and Burkard, Guido |
Faculties and Departments: | 05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss) |
UniBasel Contributors: | Loss, Daniel |
Item Type: | Thesis |
Thesis Subtype: | Doctoral Thesis |
Thesis no: | 8220 |
Thesis status: | Complete |
Number of Pages: | 158 |
Language: | English |
Identification Number: |
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edoc DOI: | |
Last Modified: | 02 Aug 2021 15:06 |
Deposited On: | 13 Feb 2009 16:23 |
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