Probing an effective-range-induced super fermionic Tonks-Girardeau gas with ultracold atoms in one-dimensional harmonic traps

Abstract

We theoretically investigate an ultracold spin-polarized atomic Fermi gas with resonant odd-channel ($p$-wave) interactions trapped in one-dimensional harmonic traps. We solve the Yang-Yang thermodynamic equations based on the exact Bethe ansatz solution, and predict the finite-temperature density profile and breathing mode frequency, by using a local density approximation to take into account the harmonic trapping potential. The system features an exotic super fermionic Tonks-Girardeau (super-fTG) phase, due to the large effective range of the interatomic interactions. We explore the parameter space for such a fascinating super-fTG phase at finite temperature and provide smoking-gun signatures of its existence in both breathing mode frequencies and density profiles. Our results suggest that the super-fTG phase can be readily probed at temperature at about $0.1T_F$, where $T_F$ is the Fermi temperature. These results are to be confronted with future cold-atom experiments with ${}^6$Li and ${}^{40}$K atoms.

6 pages, 4 figures

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• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Binding Energies of 6Li p-wave Feshbach Molecules
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• First and second sound in a strongly interacting Fermi gas
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Collective modes of a harmonically trapped one-dimensional Bose gas: the effects of finite particle number and nonzero temperature

Cited by in corpus (4)

• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons