title: Confinement and superfluidity in one-dimensional degenerate fermionic cold atoms.
abstract: The physical properties of arbitrary half-integer spins F = N - (1/2) fermionic cold atoms trapped in a one-dimensional optical lattice are investigated by means of a low-energy approach. Two different superfluid phases are found for F > or = (3/2) depending on whether a discrete symmetry is spontaneously broken or not: an unconfined BCS pairing phase and a confined molecular-superfluid instability made of 2N fermions. We propose an experimental distinction between these phases for a gas trapped in an annular geometry. The confined-unconfined transition is shown to belong to the Z(N) generalized Ising universality class. We discuss the possible Mott phases at (1/2) filling.
authors.affiliation: Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, Université de Cergy-Pontoise, Site de Saint-Martin, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France.
authors.forename: P
authors.initials: P
authors.lastname: Lecheminant
authors.forename: E
authors.initials: E
authors.lastname: Boulat
authors.forename: P
authors.initials: P
authors.lastname: Azaria