Quantum FewBody Physics with the Configuration Interaction Approach: Method Development and Application to Physical Systems
(2010) Abstract
 This dissertation, based on six included papers, theoretically investigates properties of quantum fewparticle systems. An overview of related experimental research  ultracold trapped dilute gases, and electrons in quantum dots  is given, followed by a description of some of the studied manyparticle phenomena  BoseEinstein condensation, quantized vortices, Wigner localization and the TonksGirardeau 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 fewparticle Hamiltonian. The... (More)  This dissertation, based on six included papers, theoretically investigates properties of quantum fewparticle systems. An overview of related experimental research  ultracold trapped dilute gases, and electrons in quantum dots  is given, followed by a description of some of the studied manyparticle phenomena  BoseEinstein condensation, quantized vortices, Wigner localization and the TonksGirardeau 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 fewparticle Hamiltonian. The research has also involved further development of this method, by use of the LeeSuzuki 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 twocomponent BoseEinstein condensate, in particular emerging vortex structures and associated wavefunctions.
Paper III demonstrates that the LeeSuzuki approximation, initially developed in the field of nuclear structure theory, can be useful to describe shortrange particleparticle 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 ultracold atoms or molecules with dipolar interactions, in a quasionedimensional trap.
Paper VI also considers cold atoms or molecules with dipolar interactions, but in a quasitwodimensional 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:
http://lup.lub.lu.se/record/1717965
 author
 Cremon, Jonas ^{LU}
 supervisor
 opponent

 Professor Jain, Jainendra, Pennsylvania State University, Pennsylvania, USA
 organization
 publishing date
 2010
 type
 Thesis
 publication status
 published
 subject
 keywords
 TonksGirardeau gas, vortices, BoseEinstein condensation, quantum manyparticle physics, quantum fewparticle physics, LeeSuzuki approximation, configuration interaction method, Wigner localization, quantum dots, ultracold gases, Fysicumarkivet A:2010:Cremon
 defense location
 Lecture hall B, Department of Physics, SÃ¶lvegatan 14 A, Lund University Faculty of Engineering
 defense date
 20101217 13:15
 ISBN
 9789174730432
 language
 English
 LU publication?
 yes
 id
 40dd53a78d22475386bfe460672e4d96 (old id 1717965)
 date added to LUP
 20101117 15:41:59
 date last changed
 20160919 08:45:17
@misc{40dd53a78d22475386bfe460672e4d96, abstract = {This dissertation, based on six included papers, theoretically investigates properties of quantum fewparticle systems. An overview of related experimental research  ultracold trapped dilute gases, and electrons in quantum dots  is given, followed by a description of some of the studied manyparticle phenomena  BoseEinstein condensation, quantized vortices, Wigner localization and the TonksGirardeau 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 fewparticle Hamiltonian. The research has also involved further development of this method, by use of the LeeSuzuki 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 twocomponent BoseEinstein condensate, in particular emerging vortex structures and associated wavefunctions.<br/><br> <br/><br> Paper III demonstrates that the LeeSuzuki approximation, initially developed in the field of nuclear structure theory, can be useful to describe shortrange particleparticle 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 ultracold atoms or molecules with dipolar interactions, in a quasionedimensional trap.<br/><br> <br/><br> Paper VI also considers cold atoms or molecules with dipolar interactions, but in a quasitwodimensional setup, with a focus on the resulting Wigner states' dependence on the anisotropy of the interaction.}, author = {Cremon, Jonas}, isbn = {9789174730432}, keyword = {TonksGirardeau gas,vortices,BoseEinstein condensation,quantum manyparticle physics,quantum fewparticle physics,LeeSuzuki approximation,configuration interaction method,Wigner localization,quantum dots,ultracold gases,Fysicumarkivet A:2010:Cremon}, language = {eng}, title = {Quantum FewBody Physics with the Configuration Interaction Approach: Method Development and Application to Physical Systems}, year = {2010}, }