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
1094-1622
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
Hydrodynamics
Superfluidity
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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Created: Wed, 08 Apr 2009, 02:34:09 EST by Stephanie Golding on behalf of ARC Centre of Excellence for Quantum-Atom Optics