Sound propagation in elongated superfluid fermion clouds
arXiv:cond-mat/0509323 · doi:10.1103/PhysRevA.73.021603
Abstract
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.
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- Theory of ultracold Fermi gases
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- Critical Velocity and Dissipation of an ultracold Bose-Fermi Counterflow
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- Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
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- Collective oscillations of a trapped quantum gas in low dimensions
- First and second sound in a highly elongated Fermi gas at unitarity
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- Dynamics of shock waves in a superfluid unitary Fermi gas
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- Hydrodynamic spectrum of a superfluid in an elongated trap
- Generation of vortex dipoles in superfluid Fermi gas in BCS limit
- Probing the critical exponent of superfluid fraction in a strongly interacting Fermi gas
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- Superfluid hydrodynamics of polytropic gases:dimensional reduction and sound velocity
- Extreme dynamics and relaxation of quantum gases: A hydrodynamic approach
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