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Phys. Rev. Lett. 94, 176802 (2005) [4 pages]

Charge and Spin Dynamics of Interacting Fermions in a One-Dimensional Harmonic Trap

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Lars Kecke1, Hermann Grabert1, and Wolfgang Häusler2
1Physikalisches Institut, Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany
2Institut für Theoretische Physik, Universität Erlangen, Staudtstr. 7, D-91058 Erlangen, Germany

Received 18 November 2004; published 2 May 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.176802
DOI:
10.1103/PhysRevLett.94.176802
PACS:
73.22.Lp, 32.80.Pj, 71.10.Pm