Variational theory of two-fluid hydrodynamic modes at unitarity

Taylor, E., Hu, H., Liu, X-J. and Griffin, A. (2008) Variational theory of two-fluid hydrodynamic modes at unitarity. Physical Review A, 77 3: . doi:10.1103/PhysRevA.77.033608

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Author Taylor, E.
Hu, H.
Liu, X-J.
Griffin, A.
Title Variational theory of two-fluid hydrodynamic modes at unitarity
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2008-03-07
Sub-type Article (original research)
DOI 10.1103/PhysRevA.77.033608
Open Access Status File (Publisher version)
Volume 77
Issue 3
Total pages 15
Place of publication College Park, MD, United States
Publisher American Physcial Society
Language eng
Abstract We present the results of a variational calculation of the frequencies of the low-lying Landau two-fluid hydrodynamic modes in a trapped Fermi superfluid gas at unitarity. Landau's two-fluid hydrodynamics is expected to be the correct theory of Fermi superfluids at finite temperatures close to unitarity, where strong interactions give rise to collisional hydrodynamics. Two-fluid hydrodynamics predicts the existence of in-phase modes in which the superfluid and normal fluid components oscillate together, as well as out-of-phase modes where the two components move against each other. We prove that, at unitarity, the dipole and breathing in-phase modes are locally isentropic. Their frequencies are independent of temperature and are the same above and below the superfluid transition, a feature due as much to the harmonic trapping potential as to the thermodynamic properties at unitarity. The out-of-phase modes, in contrast, are strongly dependent on temperature and hence can be used to test the thermodynamic properties and superfluid density of a Fermi gas at unitarity. We give numerical results for the frequencies of these modes as function of temperature in an isotropic trap at unitarity.
Keyword Fermion systems
Variational techniques
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article #033608

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 21 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 20 times in Scopus Article | Citations
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Created: Wed, 08 Apr 2009, 02:34:09 EST by Stephanie Golding on behalf of ARC Centre of Excellence for Quantum-Atom Optics