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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi>F</mml:mi></mml:msub></mml:mrow></mml:math>-Friedel to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi>F</mml:mi></mml:msub></mml:mrow></mml:math>-Wigner oscillations in one-dimensional Fermi gases under confinement
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 …