11,756 research outputs found
Time-Dependent Density-Functional Theory for Superfluids
A density-functional theory is established for inhomogeneous superfluids at
finite temperature, subject to time-dependent external fields in isothermal
conditions. After outlining parallelisms between a neutral superfluid and a
charged superconductor, Hohenberg-Kohn-Sham-type theorems are proved for
gauge-invariant densities and a set of Bogolubov-Popov equations including
exchange and correlation is set up. Earlier results applying in the linear
response regime are recovered.Comment: 12 pages. Europhysics Letters, in pres
Sound propagation in elongated superfluid fermion clouds
We use hydrodynamic equations to study sound propagation in a superfluid
Fermi gas inside a strongly elongated cigar-shaped trap, with main attention to
the transition from the BCS to the unitary regime. We treat first the role of
the radial density profile in the quasi-onedimensional limit and then evaluate
numerically the effect of the axial confinement in a configuration in which a
hole is present in the gas density at the center of the trap. We find that in a
strongly elongated trap the speed of sound in both the BCS and the unitary
regime differs by a factor sqrt{3/5} from that in a homogeneous
three-dimensional superfluid. The predictions of the theory could be tested by
measurements of sound-wave propagation in a set-up such as that exploited by
M.R. Andrews et al. [Phys. Rev. Lett. 79, 553 (1997)] for an atomic
Bose-Einstein condensate
Boson-fermion mixtures inside an elongated cigar-shaped trap
We present mean-field calculations of the equilibrium state in a gaseous
mixture of bosonic and spin-polarized fermionic atoms with repulsive or
attractive interspecies interactions, confined inside a cigar-shaped trap under
conditions such that the radial thickness of the two atomic clouds is
approaching the magnitude of the s-wave scattering lengths. In this regime the
kinetic pressure of the fermionic component is dominant. Full demixing under
repulsive boson-fermion interactions can occur only when the number of fermions
in the trap is below a threshold, and collapse under attractive interactions is
suppressed within the range of validity of the mean-field model. Specific
numerical illustrations are given for values of system parameters obtaining in
7Li-6Li clouds.Comment: 12 pages, 6 figure
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