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Exact pairing correlations in 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 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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https://hal.archives-ouvertes.fr/hal-00000847
Contributor : Olivier Juillet <>
Submitted on : Monday, March 15, 2004 - 3:52:53 PM
Last modification on : Tuesday, February 19, 2019 - 10:04:10 AM
Document(s) archivé(s) le : Friday, September 24, 2010 - 10:02:45 AM

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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, American Physical Society, 2004, 92, pp.160401. ⟨10.1103/PhysRevLett.92.160401⟩. ⟨hal-00000847v4⟩

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