Quantum Few-Body 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 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:
https://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
- 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 13:15:00
- ISBN
- 978-91-7473-043-2
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- 40dd53a7-8d22-4753-86bf-e460672e4d96 (old id 1717965)
- date added to LUP
- 2016-04-04 13:45:32
- date last changed
- 2018-11-21 23:03:30
@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}}, 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}}, language = {{eng}}, school = {{Lund University}}, title = {{Quantum Few-Body Physics with the Configuration Interaction Approach: Method Development and Application to Physical Systems}}, year = {{2010}}, }