Pairing correlations in a trapped one-dimensional Fermi gas

Abstract

We use a BCS-type variational wavefunction to study attractively-interacting quasi one-dimensional (1D) fermionic atomic gases, motivated by cold-atom experiments that access the 1D regime using an anisotropic harmonic trapping potential (with trapping frequencies ${\omega }_x={\omega }_y\gg {\omega }_z$) that confines the gas to a cigar-shaped geometry. To handle the presence of the trap along the $z$-direction, we construct our variational wavefunction from the harmonic oscillator Hermite functions that are the eigenstates of the single-particle problem. Using an analytic determination of the effective interaction among harmonic oscillator states along with a numerical solution of the resulting variational equations, we make specific experimental predictions for how pairing correlations would be revealed in experimental probes like the local density and the momentum correlation function.

arXiv comment8 pages, 6 figures. Published in Phys. Rev. A

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Cited by in corpus (5)

• Parity effect in a mesoscopic Fermi gas
• Hartree-Fock-Bogoliubov theory of trapped one-dimensional imbalanced Fermi systems
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• Sudden-quench dynamics of Bardeen-Cooper-Schrieffer states in deep optical lattices
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems