title: Exact pairing correlations for one-dimensionally trapped fermions with stochastic mean-field wave functions.
abstract: The canonical thermodynamic properties of a one-dimensional system of interacting spin-1/2 fermions with an attractive zero-range pseudopotential are investigated within an exact approach. The density operator is evaluated as the statistical average of dyadics formed from a stochastic mean-field propagation of independent Slater determinants. For a harmonically trapped Fermi gas and for fermions confined in a 1D-like torus, we observe the transition to a quasi-BCS state with Cooper-like momentum correlations and an algebraic long-range order. For a few trapped fermions in a rotating torus, a dominant superfluid component with quantized circulation can be isolated.
authors.affiliation: LPC/ISMRA, Boulevard du Maréchal Juin, F-14050 Caen CEDEX, France.
authors.forename: O
authors.initials: O
authors.lastname: Juillet
authors.forename: F
authors.initials: F
authors.lastname: Gulminelli
authors.forename: Ph
authors.initials: P
authors.lastname: Chomaz