First and second sound of a unitary Fermi gas in highly elongated harmonic traps
arXiv:1410.1336 · doi:10.1103/PhysRevA.90.023616
Abstract
Using a variational approach, we present the full solutions of the simplified one-dimensional two-fluid hydrodynamic equations for a unitary Fermi gas trapped in a highly elongated harmonic potential, which is recently derived by Stringari and co-workers {[}Phys. Rev. Lett. \textbf{105}, 150402 (2010){]}. We calculate the discretized mode frequencies of first and second sound along the weak axial trapping potential, as a function of temperature and the form of superfluid density. We show that the density fluctuations in second sound modes, due to their coupling to first sound modes, are large enough to be measured in current experimental setups such as that exploited by Tey \textit{et al}. at the University of Innsbruck {[}Phys. Rev. Lett. \textbf{110}, 055303 (2013){]}. Owing to the sensitivity of second sounds on the form of superfluid density, the high precision of the measured second sound frequencies may provide us a promising way to accurately determine the superfluid density of a unitary Fermi gas, which so far remains elusive.
arXiv comment9 pages, 8 figures, published version in PRA
References in corpus (26)
- Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
- Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
- Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Virial expansion for a strongly correlated Fermi gas
- Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
- Universal thermodynamics of strongly interacting Fermi gases
- Collective oscillations of a trapped Fermi gas near a Feshbach resonance
- Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
- Collective Modes in a Unitary Fermi Gas across the Superfluid Phase Transition
- Comparative study of strong coupling theories of a trapped Fermi gas at unitarity
- A self-consistent theory of atomic Fermi gases with a Feshbach resonance at the superfluid transition
- Temperature of a trapped unitary Fermi gas at finite entropy
- First and second sound in a strongly interacting Fermi gas
- Universal thermodynamics of a strongly interacting Fermi gas: theory versus experiment
- Superfluid density of states and pseudogap phenomenon in the BCS-BEC crossover regime of a superfluid Fermi gas
- Two-fluid hydrodynamic modes in a trapped superfluid gas
- First and second sound in a highly elongated Fermi gas at unitarity
- Second sound and the density response function in uniform superfluid atomic gases
- Variational theory of two-fluid hydrodynamic modes at unitarity
- First and second sound in cylindrically trapped gases
- Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
- First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC
- Scaling solutions of the two fluid hydrodynamic equations in a harmonically trapped gas at unitarity
- Normal mass density of a superfluid Fermi gas at unitarity
- Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit coupling