2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement

Abstract

Density oscillations of confined one-dimensional Fermi gases of contact repulsive interactions in a continuous space are discussed within Bethe-ansatz-based spin-density-functional theory. The results are compared against the exact analytical and the exact diagonalization method. For an unpolarized system, the number of peaks in the density profiles is doubled, signaling the crossover of the 2k_F-Friedel to 4k_F-Wigner oscillations (with kF being the Fermi wave vector). For both unpolarized and polarized systems, a threshold of the short-range interaction strength can be found where Nf-peak Wigner oscillations of a 4k_F wave vector appear in the density profile (N_f is the total particle number).

arXiv comment7 pages, 7 figures

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• Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Probing Wigner correlations in a suspended carbon nanotube
• Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems