Breathing modes of a fast rotating Fermi gas

Abstract

We derive the frequency spectrum of the lowest compressional oscillations of a 3D harmonically trapped Fermi superfluid in the presence of a vortex lattice, treated in the diffused vorticity approximation within a hydrodynamic approach. We consider the general case of a superfluid at T=0 characterized by a polytropic equation of state ($\sim n^{\gamma }$), which includes both the Bose-Einstein condensed regime of dimers ($\gamma =1$) and the unitary limit of infinite scattering length ($\gamma =2/3$). Important limiting cases are considered, including the centrifugal limit, the isotropic trapping and the cigar geometry. The conditions required to enter the lowest Landau level and quantum Hall regimes at unitarity are also discussed.

arXiv comment5 pages, 2 figures

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Cited by in corpus (7)

• Theory of ultracold Fermi gases
• Rapidly Rotating Atomic Gases
• Destroying superfluidity by rotating a Fermi gas at unitarity
• Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region
• Tkachenko modes in a superfluid Fermi gas at unitarity
• Scale Invariance in the Lowest Landau Level
• Spontaneous symmetry breaking in rotating condensates of ultracold atoms