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Phys. Rev. Lett. 93, 050402 (2004) [4 pages]

Interacting Fermions in Highly Elongated Harmonic Traps

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G. E. Astrakharchik1,2, D. Blume3, S. Giorgini1, and L. P. Pitaevskii1
1Dipartimento di Fisica, Università di Trento and BEC-INFM, I-38050 Povo, Italy
2Institute of Spectroscopy, 142190 Troitsk, Moscow region, Russia
3Department of Physics, Washington State University, Pullman, Washington 99164-2814, USA

Received 19 December 2003; published 29 July 2004

Quasi-one-dimensional two-component Fermi gases with effectively attractive and repulsive interactions are characterized for arbitrary interaction strength. The ground-state properties of the gas confined in highly elongated harmonic traps are determined within the local density approximation. For strong attractive effective interactions the existence of a molecular Tonks-Girardeau gas is predicted. The frequency of the lowest breathing mode is calculated as a function of the coupling strength for both attractive and repulsive interactions.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.050402
DOI:
10.1103/PhysRevLett.93.050402
PACS:
03.75.Kk, 03.75.Hh, 05.30.Jp