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Quantum Few-Body Physics with the Configuration Interaction Approach: Method Development and Application to Physical Systems

Cremon, Jonas LU (2010)
Abstract
This dissertation, based on six included papers, theoretically investigates properties of quantum few-particle systems. An overview of related experimental research - ultra-cold trapped dilute gases, and electrons in quantum dots - is given, followed by a description of some of the studied many-particle phenomena - Bose-Einstein condensation, quantized vortices, Wigner localization and the Tonks-Girardeau gas.



As the research results are presented in the included papers, a main part of the text in this thesis sets focus on methodology. Most of the papers involve use of the configuration interaction method, a numerical method which can give approximative eigenvalues and eigenstates of a few-particle Hamiltonian. The... (More)
This dissertation, based on six included papers, theoretically investigates properties of quantum few-particle systems. An overview of related experimental research - ultra-cold trapped dilute gases, and electrons in quantum dots - is given, followed by a description of some of the studied many-particle phenomena - Bose-Einstein condensation, quantized vortices, Wigner localization and the Tonks-Girardeau gas.



As the research results are presented in the included papers, a main part of the text in this thesis sets focus on methodology. Most of the papers involve use of the configuration interaction method, a numerical method which can give approximative eigenvalues and eigenstates of a few-particle Hamiltonian. The research has also involved further development of this method, by use of the Lee-Suzuki approximation. Formal descriptions of the methods are presented, together with a discussion about the numerical implementation. Explicit examples are given in an appendix.



Papers I and II investigate properties of a rotating two-component Bose-Einstein condensate, in particular emerging vortex structures and associated wavefunctions.



Paper III demonstrates that the Lee-Suzuki approximation, initially developed in the field of nuclear structure theory, can be useful to describe short-range particle-particle correlations in a trapped bosonic gas.



Paper IV investigates the possibility to observe Wigner localization in a nanowire quantum dot, and compares predicted electron transport properties with experimental measurements.



Paper V analyzes structures of ultra-cold atoms or molecules with dipolar interactions, in a quasi-one-dimensional trap.



Paper VI also considers cold atoms or molecules with dipolar interactions, but in a quasi-two-dimensional setup, with a focus on the resulting Wigner states' dependence on the anisotropy of the interaction. (Less)
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Professor Jain, Jainendra, Pennsylvania State University, Pennsylvania, USA
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Tonks-Girardeau gas, vortices, Bose-Einstein condensation, quantum many-particle physics, quantum few-particle physics, Lee-Suzuki approximation, configuration interaction method, Wigner localization, quantum dots, ultra-cold gases, Fysicumarkivet A:2010:Cremon
defense location
Lecture hall B, Department of Physics, Sölvegatan 14 A, Lund University Faculty of Engineering
defense date
2010-12-17 13:15
ISBN
978-91-7473-043-2
language
English
LU publication?
yes
id
40dd53a7-8d22-4753-86bf-e460672e4d96 (old id 1717965)
date added to LUP
2010-11-17 15:41:59
date last changed
2016-09-19 08:45:17
@phdthesis{40dd53a7-8d22-4753-86bf-e460672e4d96,
  abstract     = {This dissertation, based on six included papers, theoretically investigates properties of quantum few-particle systems. An overview of related experimental research - ultra-cold trapped dilute gases, and electrons in quantum dots - is given, followed by a description of some of the studied many-particle phenomena - Bose-Einstein condensation, quantized vortices, Wigner localization and the Tonks-Girardeau gas.<br/><br>
<br/><br>
As the research results are presented in the included papers, a main part of the text in this thesis sets focus on methodology. Most of the papers involve use of the configuration interaction method, a numerical method which can give approximative eigenvalues and eigenstates of a few-particle Hamiltonian. The research has also involved further development of this method, by use of the Lee-Suzuki approximation. Formal descriptions of the methods are presented, together with a discussion about the numerical implementation. Explicit examples are given in an appendix.<br/><br>
<br/><br>
Papers I and II investigate properties of a rotating two-component Bose-Einstein condensate, in particular emerging vortex structures and associated wavefunctions.<br/><br>
<br/><br>
Paper III demonstrates that the Lee-Suzuki approximation, initially developed in the field of nuclear structure theory, can be useful to describe short-range particle-particle correlations in a trapped bosonic gas.<br/><br>
<br/><br>
Paper IV investigates the possibility to observe Wigner localization in a nanowire quantum dot, and compares predicted electron transport properties with experimental measurements.<br/><br>
<br/><br>
Paper V analyzes structures of ultra-cold atoms or molecules with dipolar interactions, in a quasi-one-dimensional trap.<br/><br>
<br/><br>
Paper VI also considers cold atoms or molecules with dipolar interactions, but in a quasi-two-dimensional setup, with a focus on the resulting Wigner states' dependence on the anisotropy of the interaction.},
  author       = {Cremon, Jonas},
  isbn         = {978-91-7473-043-2},
  keyword      = {Tonks-Girardeau gas,vortices,Bose-Einstein condensation,quantum many-particle physics,quantum few-particle physics,Lee-Suzuki approximation,configuration interaction method,Wigner localization,quantum dots,ultra-cold gases,Fysicumarkivet A:2010:Cremon},
  language     = {eng},
  school       = {Lund University},
  title        = {Quantum Few-Body Physics with the Configuration Interaction Approach: Method Development and Application to Physical Systems},
  year         = {2010},
}