Stability of spinor Fermi gases in tight waveguides

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A. del Campo,¹ J. G. Muga,¹ and M. D. Girardeau²
¹Departamento de Química-Física, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain
²College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA

Received 8 May 2007; published 17 July 2007

Thetwo- and three-body correlation functions of the ground state ofan optically trapped ultracold spin- (1/2) Fermi gas (SFG) in atight waveguide [one-dimensional (1D) regime] are calculated in the planeof even- and odd-wave coupling constants, assuming a 1D attractivezero-range odd-wave interaction induced by a 3D p-wave Feshbach resonance,as well as the usual repulsive zero-range even-wave interaction stemmingfrom 3D s-wave scattering. The calculations are based on theexact mapping from the SFG to a “Lieb-Liniger-Heisenberg” model withdelta-function repulsions depending on isotropic Heisenberg spin-spin interactions, and indicatethat the SFG should be stable against three-body recombination ina large region of the coupling constant plane encompassing partsof both the ferromagnetic and antiferromagnetic phases. However, the limitingcase of the fermionic Tonks-Girardeau gas, a spin-aligned 1D Fermigas with infinitely attractive p-wave interactions, is unstable in thissense. Effects due to the dipolar interaction and a Zeemanterm due to a resonance-generating magnetic field do not leadto shrinkage of the region of stability of the SFG.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.76.013615
DOI:	10.1103/PhysRevA.76.013615
PACS:	03.75.Mn; 03.75.Be 03.75.Mn Multicomponent Bose-Einstein condensates; spinor condensates 03.75.Be Atom and neutron optics YEAR: 2007
KEYWORDS:	fermion systems, ground states, laser cooling, resonant states, stability

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