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Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions

Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions

We study, by means of exact-diagonalization techniques, the ground state of a few-fermion system with strong short-range repulsive interactions trapped by a harmonic potential in one spatial dimension. Even when the ground-state density profile displays, at strong coupling, very well pronounced Wigner oscillations with a $4{k}_{\mathrm{F}}$ periodicity, the pair-correlation function …