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Article Dans Une Revue Physical Review Letters Année : 2004

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

O. Juillet
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P. Chomaz
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Résumé

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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Dates et versions

hal-00000847 , version 1 (18-11-2003)
hal-00000847 , version 2 (19-11-2003)
hal-00000847 , version 3 (28-11-2003)
hal-00000847 , version 4 (15-03-2004)

Identifiants

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O. Juillet, F. Gulminelli, P. Chomaz. Exact pairing correlations in one-dimensionally trapped fermions with stochastic mean-field wave-functions. Physical Review Letters, 2004, 92, pp.160401. ⟨10.1103/PhysRevLett.92.160401⟩. ⟨hal-00000847v4⟩
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