Variational theory of two-fluid hydrodynamic modes at unitarity

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dc.creatorTaylor, Edward
dc.creatorHu, Hui
dc.creatorLiu, Xia-Ji
dc.creatorGriffin, Allan
dc.date2007-11-05
dc.date.accessioned2026-07-07T12:11:47Z
dc.date.available2026-07-07T12:11:47Z
dc.descriptionWe 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. 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 new modes as function of temperature in an isotropic trap at unitarity.
dc.description16 pages; 5 figures
dc.identifierhttps://arxiv.org/abs/0711.0561
dc.identifierhttp://arxiv.org/abs/0711.0561
dc.identifierPhys. Rev. A 77, 033608 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.033608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210330
dc.subjectOther Condensed Matter
dc.titleVariational theory of two-fluid hydrodynamic modes at unitarity
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