Many-body stabilization of a resonant p-wave Fermi gas in one dimension

Abstract

Using the asymptotic Bethe Ansatz, we study the stabilization problem of the one-dimensional spin-polarized Fermi gas confined in a hard-wall potential with tunable p-wave scattering length and finite effective range. We find that the interplay of two factors, i.e., the finite interaction range and the hard-wall potential, will stabilize the system near resonance. The stabilization occurs even in the positive scattering length side, where the system undergoes a many-body collapse if any of the factors is absent. At p-wave resonance, the fermion system is found to feature the "quasi-particle condensation" for any value of effective range, which is stabilized if the range is above twice the mean particle distance. Slightly away from resonance, the correction to the stability condition linearly depends on the inverse scattering length. Finally, a global picture is presented for the energetics and stability properties of fermions from weakly attractive to deep bound state regime. Our results raise the possibility for achieving stable p-wave superfluidity in quasi-1D atomic systems, and meanwhile, shed light on the intriguing s- and p-wave physics in 1D that violate the Bose-Fermi duality.

3 figures, with added references

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Cited by in corpus (13)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• Unitary $p$-wave Fermi gas in one dimension
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Transport in p-wave interacting Fermi gases
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons