Searching For FFLO States in Ultracold Polarized Fermi Gases: A Numerical Approach

Simple item page
dc.contributor.advisorPu, Han
dc.contributor.committeeMemberHulet, Randall G.
dc.contributor.committeeMemberWarburton, Tim
dc.creatorLu, Hong
dc.date.accessioned2013-07-24T19:37:10Z
dc.date.accessioned2013-07-24T19:37:16Z
dc.date.available2013-07-24T19:37:10Z
dc.date.available2013-07-24T19:37:16Z
dc.date.created2012-12
dc.date.issued2013-07-24
dc.date.submittedDecember 2012
dc.date.updated2013-07-24T19:37:16Z
dc.description.abstractUltracold 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.mimetypeapplication/pdf
dc.identifier.citationLu, Hong. "Searching For FFLO States in Ultracold Polarized Fermi Gases: A Numerical Approach." (2013) Diss., Rice University. <a href="https://hdl.handle.net/1911/71671">https://hdl.handle.net/1911/71671</a>.
dc.identifier.slug123456789/ETD-2012-12-303
dc.identifier.urihttps://hdl.handle.net/1911/71671
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectPolarized Fermi gases
dc.subjectFulde-Ferrell-Larkin-Ovchinnikov state
dc.titleSearching For FFLO States in Ultracold Polarized Fermi Gases: A Numerical Approach
dc.typeThesis
dc.type.materialText
thesis.degree.departmentPhysics and Astronomy
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LU-THESIS.pdf
Size:
5.43 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.61 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Rice University Electronic Theses and Dissertations