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 $N$.

6 pages, 3 figures

References in corpus (4)

• Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Pairing of a harmonically trapped fermionic Tonks-Girardeau gas

Cited by in corpus (4)

• Bound states of Dipolar Bosons in One-dimensional Systems
• 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