Effective super Tonks-Girardeau gases as ground states of strongly attractive multicomponent 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 gaslike state composed of bosonic cluster states with strongly attractive cluster-cluster interaction for even N and a Fermi duality of a super Tonks-Girardeau gaslike state composed of fermionic cluster states with weakly interacting cluster-cluster p-wave interaction for odd N. © 2011 The American Physical Society.