Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement

Abstract

A Bethe-Ansatz spin-density functional approach is developed to evaluate the ground-state density profile in a system of repulsively interacting spin-1/2 fermions inside a quasi-one-dimensional harmonic well. The approach allows for the formation of antiferromagnetic quasi-order with increasing coupling strength and reproduces with high accuracy the exact solution that is available for the two-fermion system.

arXiv comment3 pages, 2 figures, submitted

References in corpus (4)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Low-density, one-dimensional quantum gases in a split trap

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