Exact pairing correlations in one-dimensional trapped fermions with stochastic mean-field wave-functions

Details Exact pairing correlations in one-dimensional trapped fermions with stochastic mean-field wave-functions Exact pairing correlations in one-dimensional trapped fermions with stochastic mean-field wave-functions

2003-11-19

arxiv.org/abs/cond-mat/0311437v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.92.160401

The canonical thermodynamic properties of a one-dimensional system of interacting spin-1/2 fermions with an attractive zero-range pseudo-potential 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 an 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 few trapped fermions in a rotating torus, a dominant superfluid component with quantized circulation can be isolated.

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