Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap

Details Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap

2004-11-18

arxiv.org/abs/cond-mat/0411480v1

Phys. Rev. Lett. 94, 176802 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.94.176802

We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion for charge and spin density waves are analyzed both near the trap center and near the trap edges. While the center shows conventional spin-charge separation the edges cause a giant increase of the separation between these modes.

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