Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases

Liu, Xia-Ji, Hu, Hui and Drummond, Peter D. (2007) Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases. Physical Review A, 76 4: 043605-1-043605-21. doi:10.1103/PhysRevA.76.043605

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Author Liu, Xia-Ji
Hu, Hui
Drummond, Peter D.
Title Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2007-10-04
Sub-type Critical review of research, literature review, critical commentary
DOI 10.1103/PhysRevA.76.043605
Open Access Status File (Publisher version)
Volume 76
Issue 4
Start page 043605-1
End page 043605-21
Total pages 21
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2008
Language eng
Abstract We present a systematic study of quantum phases in a one-dimensional spin-polarized Fermi gas. Three comparative theoretical methods are used to explore the phase diagram at zero temperature: the mean-field theory with either an order parameter in a single-plane-wave form or a self-consistently determined order parameter using the Bogoliubov-de Gennes equations, as well as the exact Bethe ansatz method. We find that a spatially inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov phase, which lies between the fully paired Bardeen-Cooper-Schrieffer (BCS) state and the fully polarized normal state, dominates most of the phase diagram of a uniform gas. The phase transition from the BCS state to the Fulde-Ferrell-Larkin-Ovchinnikov phase is of second order, and therefore there are no phase separation states in one-dimensional homogeneous polarized gases. This is in sharp contrast to the three-dimensional situation, where a phase separation regime is predicted to occupy a very large space in the phase diagram. We conjecture that the prediction of the dominance of the phase separation phases in three dimension could be an artifact of the non-self-consistent mean-field approximation, which is heavily used in the study of three-dimensional polarized Fermi gases. We consider also the effect of a harmonic trapping potential on the phase diagram, and find that in this case the trap generally leads to phase separation, in accord with the experimental observations for a trapped gas in three dimensions. We finally investigate the local fermionic density of states of the Fulde-Ferrell-Larkin-Ovchinnikov ansatz. A two-energy-gap structure appears, which could be used as an experimental probe of the Fulde-Ferrell-Larkin-Ovchinnikov states.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Bcs-bec Crossover
Ground-state
Phase-transition
Optical Lattice
Exchange Field
Superconductivity
Superfluid
Condensate
Separation
Q-Index Code C1
Q-Index Status Confirmed Code
Additional Notes This document is a journal review.

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collections: Excellence in Research Australia (ERA) - Collection
2008 Higher Education Research Data Collection
School of Physical Sciences Publications
 
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Created: Tue, 19 Feb 2008, 01:32:29 EST