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dc.contributor.advisor Pu, Han
dc.creatorLu, Hong
dc.date.accessioned 2013-07-24T19:37:10Z
dc.date.accessioned 2013-07-24T19:37:16Z
dc.date.available 2013-07-24T19:37:10Z
dc.date.available 2013-07-24T19:37:16Z
dc.date.created 2012-12
dc.date.issued 2013-07-24
dc.date.submitted December 2012
dc.identifier.citation Lu, Hong. "Searching For FFLO States in Ultracold Polarized Fermi Gases: A Numerical Approach." (2013) Diss., Rice University. https://hdl.handle.net/1911/71671.
dc.identifier.urihttps://hdl.handle.net/1911/71671
dc.description.abstract Ultracold atomic gases have emerged as an ideal laboratory system to emulate many-body physics in an unprecedentedly controllable manner. Numerous many-body quantum states and phases have been experimentally explored and characterized using the ultracold atomic gases, offering new insights into many exciting physics ranging from condensed matters to cosmology. In this thesis, we will present a systematic numerical study of a novel experimental system, population imbalanced two-component ultracold Fermi gases. We explore the phase diagram of this system in both 3D and 1D especially focusing on the exotic Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, which is characterized by a spatially oscillating order parameter. In 3D, we solve for the stationary states of trapped imbalanced Fermi gases in a wide range of parameter space with a home-made parallel eigen-solver for Bogoliubov-de Gennes (BdG) equations. Our results show that there exists a metastable state with a FFLO type oscillating order parameter. In 1D, we simulate the dynamical expansion of the population imbalanced Fermi gases from the trap. A numerically quasi-exact scheme, time-evolving block decimation (TEBD), is introduced for the comparative studies with the solution of the time-dependent BdG equation. Our results predict that the existence of FFLO states will leave conspicuous signatures in the density profiles during the expansion. For further understanding of the interplay between the population imbalance and two-body pairing interaction between two spin components, we also study the spin transport properties through trapped ultracold Fermi gases. The preliminary results will be discussed.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectPolarized Fermi gases
Fulde-Ferrell-Larkin-Ovchinnikov state
dc.title Searching For FFLO States in Ultracold Polarized Fermi Gases: A Numerical Approach
dc.type Thesis
dc.contributor.committeeMember Hulet, Randall G.
dc.contributor.committeeMember Warburton, Tim
dc.date.updated 2013-07-24T19:37:16Z
dc.identifier.slug 123456789/ETD-2012-12-303
dc.type.material Text
thesis.degree.department Physics and Astronomy
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy


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