Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions

Abstract

In the strong interaction limit, attractive fermions with $N$-component hyperfine states in a one-dimensional waveguide form unbreakable bound cluster states. We demonstrate that the ground state of strongly attractive SU($N$) Fermi gases can be effectively described by a super Tonks-Girardeau gas-like state composed of bosonic cluster states with strongly attractive cluster-cluster interaction for even $N$, and a Fermi duality of a super Tonks-Girardeau gas-like state composed of fermionic cluster states with weakly interacting cluster-cluster p-wave interaction for odd $N$.

arXiv comment6 pages, 3 figures

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Cited by in corpus (9)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Few-fermion systems in one dimension: Ground- and excited-state energies and contacts
• Bound states of Dipolar Bosons in One-dimensional Systems
• Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Persistent currents in ultracold gases
• Interference dynamics of matter-waves of SU($N$) fermions
• The lowest scattering state of one-dimensional Bose gas with attractive interactions
• Fermi super-Tonks-Girardeau state for attractive Fermi gases in an optical lattice