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Related papers: First and second sound in a highly elongated Fermi…

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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…

Quantum Gases · Physics 2014-10-07 Xia-Ji Liu , Hui Hu

Using a variational approach, we solve the equations of two-fluid hydrodynamics for a uniform and trapped Fermi gas at unitarity. In the uniform case, we find that the first and second sound modes are remarkably similar to those in…

Quantum Gases · Physics 2009-11-02 E. Taylor , H. Hu , X. -J. Liu , L. P. Pitaevskii , A. Griffin , S. Stringari

We theoretically investigate first and second sound modes of a unitary Fermi gas trapped in a highly oblate harmonic trap at finite temperatures. Following the idea by Stringari and co-workers {[}Phys. Rev. Lett. \textbf{105}, 150402…

Quantum Gases · Physics 2014-10-07 Hui Hu , Paul Dyke , Chris J. Vale , Xia-Ji Liu

We investigate the propagation of density and temperature waves in a cylindrically trapped gas with radial harmonic confinement. Starting from two-fluid hydrodynamic theory we derive effective 1D equations for the chemical potential and the…

Quantum Gases · Physics 2010-10-15 G. Bertaina , L. Pitaevskii , S. Stringari

We study sound propagation in a uniform superfluid gas of Fermi atoms in the unitary limit. The existence of normal and superfluid components leads to appearance of two sound modes in the collisional regime, referred to as first and second…

Quantum Gases · Physics 2013-05-29 Emiko Arahata , Tetsuro Nikuni

We compare recent experimental results [Science 375, 528 (2022)] of the superfluid unitary Fermi gas near the critical temperature with a thermodynamic model based on elementary excitations of the system. We find very good agreement between…

Quantum Gases · Physics 2022-07-25 G. Bighin , A. Cappellaro , L. Salasnich

We develop the hydrodynamic theory of Fermi superfluids in the presence of a periodic potential. The relevant parameters governing the propagation of sound (compressibility and effective mass) are calculated in the weakly interacting BCS…

Soft Condensed Matter · Physics 2016-08-31 L. P. Pitaevskii , S. Stringari , G. Orso

The thermodynamic potential is calculated for a uniform superfluid gas of fermi atoms from the mean field BCS equations including corrections from induced interactions, Hartree-Fock energies and quasiparticle selfenergies. The entropy,…

Superconductivity · Physics 2007-05-23 H. Heiselberg

Sound propagation is a macroscopic manifestation of the interplay between the equilibrium thermodynamics and the dynamical transport properties of fluids. Here, for a two-dimensional system of ultracold fermions, we calculate the first and…

Quantum Gases · Physics 2021-07-21 A. Tononi , A. Cappellaro , G. Bighin , L. Salasnich

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…

Other Condensed Matter · Physics 2007-05-23 P. Capuzzi , P. Vignolo , F. Federici , M. P. Tosi

Superfluidity is a macroscopic quantum phenomenon, which shows up below a critical temperature and leads to a peculiar behavior of matter, with frictionless flow, the formation of quantized vortices, and the quenching of the moment of…

The two-fluid model is fundamental for the description of superfluidity. In the nearly-incompressible-liquid regime, it successfully describes first and second sound, corresponding, respectively, to density and entropy waves, in both liquid…

We investigate the low-temperature thermodynamics of the unitary Fermi gas by introducing a model based on the zero-temperature spectra of both bosonic collective modes and fermonic single-particle excitations. We calculate the Helmholtz…

Quantum Gases · Physics 2011-07-08 Luca Salasnich

We briefly review the research on second sound in ultracold atomic physics, with emphasis on strongly interacting unitary Fermi gases with infinitely large $s$-wave scattering length. Second sound is a smoking-gun feature of superfluidity…

Quantum Gases · Physics 2022-11-08 Hui Hu , Xing-Can Yao , Xia-Ji Liu

Recently there has been renewed interest in second sound in superfluid Bose and Fermi gases. By using two-fluid hydrodynamic theory, we review the density response $\chi_{nn}(\bq,\omega)$ of these systems as a tool to identify second sound…

Quantum Gases · Physics 2010-04-26 H. Hu , E. Taylor , X. -J. Liu , S. Stringari , A. Griffin

We develop a variational approach to calculate the density response function at finite temperatures of the lowest-lying two-fluid modes in a trapped two-component Fermi superfluid close to a Feshbach resonance. The out-of-phase…

Other Condensed Matter · Physics 2007-11-20 Edward Taylor , Hui Hu , Xia-Ji Liu , Allan Griffin

We provide an overview of the recent theoretical and experimental advances in the study of second sound in ultracold atomic gases. Starting from the Landau two fluid hydrodynamic equations we develop the theory of first and second sound in…

Quantum Gases · Physics 2015-10-06 Lev P. Pitaevskii , Sandro Stringari

We provide a description of the dynamic structure factor of a homogeneous unitary Fermi gas at low momentum and low frequency, based on the dissipative two-fluid hydrodynamic theory. The viscous relaxation time is estimated and is used to…

Quantum Gases · Physics 2018-02-14 Hui Hu , Peng Zou , Xia-Ji Liu

We have recently derived two-fluid hydrodynamic equations for a trapped weakly-interacting Bose gas. In this paper, we use these equations to discuss first and second sound in a uniform Bose gas. These results are shown to agree with the…

Condensed Matter · Physics 2009-10-30 A. Griffin , E. Zaremba

First and second sound speeds are calculated for a uniform superfluid gas of fermi atoms as a function of temperature, density and interaction strength. The second sound speed is of particular interest as it is a clear signal of a…

Superconductivity · Physics 2009-11-11 H. Heiselberg
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