Ultracold Quantum Matter In Lower Dimensions
| dc.contributor.author | Baur, Stefan | en_US |
| dc.contributor.chair | Mueller, Erich | en_US |
| dc.contributor.committeeMember | Sethna, James Patarasp | en_US |
| dc.contributor.committeeMember | Vengalattore, Mukund | en_US |
| dc.date.accessioned | 2012-12-17T13:51:02Z | |
| dc.date.available | 2016-12-30T06:46:57Z | |
| dc.date.issued | 2011-08-31 | en_US |
| dc.description.abstract | Rapid progress in the field of ultracold atoms allows the study of many new and old models of quantum many-body physics. In this doctoral dissertation we theoretically explore exotic phases of ultracold quantum gases, with a special focus spin-imbalanced attractive Fermi gases in lower dimensional situations. Chapter 2 reviews the mean-field theory approach to pairing in twocomponent Fermi gases. Applications of this theory are illustrated in Chapter 3, where we discuss mostly well-known results of mean-field theory applied to imbalanced Fermi gases. Adapted from the author's prior publications, Chapters 4, 5 use the theory developed in Chapters 2, 3. In Chapter 6 we discuss the physics of Fermi gases, squeezed into one spatial dimension. In this and Chapter 7, we go beyond mean-field theory, approaching the problem through the Bethe ansatz, exact solutions to few-body problems and Fermi-Bose mappings ("fermionization"). We also show results from a joint effort with the experimental group of Randy Hulet at Rice University to experimentally realize and probe a strongly interacting one dimensional paired Fermi gas. In Chapter 8, after a brief introduction to rapidly rotating two dimensional Bose gases, we introduce a new protocol to create few atom fractional quantum Hall states. Finally, in Chapter 9 we study the effects of two-body losses on lattice Bose gases with hardcore interactions in one and two spatial dimensions. | en_US |
| dc.identifier.other | bibid: 7955543 | |
| dc.identifier.uri | https://hdl.handle.net/1813/30722 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Theory of ultracold quantum gases | en_US |
| dc.subject | Condensed matter theory | en_US |
| dc.title | Ultracold Quantum Matter In Lower Dimensions | en_US |
| dc.type | dissertation or thesis | en_US |
| thesis.degree.discipline | Physics | |
| thesis.degree.grantor | Cornell University | en_US |
| thesis.degree.level | Doctor of Philosophy | |
| thesis.degree.name | Ph. D., Physics |
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