Stability of spinor Fermi gases in tight waveguides

Journal Article · Sun Jul 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.013615· OSTI ID:21011284

Campo, A del; Muga, J G ^[1]; Girardeau, M D ^[2]

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1. Departamento de Quimica-Fisica, Universidad del Pais Vasco, Apartado 644, 48080 Bilbao (Spain)
2. College of Optical Sciences, University of Arizona, Tucson, Arizona 85721 (United States)

The two- and three-body correlation functions of the ground state of an optically trapped ultracold spin-(1/2) Fermi gas (SFG) in a tight waveguide [one-dimensional (1D) regime] are calculated in the plane of even- and odd-wave coupling constants, assuming a 1D attractive zero-range odd-wave interaction induced by a 3D p-wave Feshbach resonance, as well as the usual repulsive zero-range even-wave interaction stemming from 3D s-wave scattering. The calculations are based on the exact mapping from the SFG to a 'Lieb-Liniger-Heisenberg' model with delta-function repulsions depending on isotropic Heisenberg spin-spin interactions, and indicate that the SFG should be stable against three-body recombination in a large region of the coupling constant plane encompassing parts of both the ferromagnetic and antiferromagnetic phases. However, the limiting case of the fermionic Tonks-Girardeau gas, a spin-aligned 1D Fermi gas with infinitely attractive p-wave interactions, is unstable in this sense. Effects due to the dipolar interaction and a Zeeman term due to a resonance-generating magnetic field do not lead to shrinkage of the region of stability of the SFG.

• OSTI ID: 21011284
• Journal Information: Physical Review. A, Vol. 76, Issue 1; Other Information: DOI: 10.1103/PhysRevA.76.013615; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIFERROMAGNETISM
CORRELATION FUNCTIONS
COUPLING CONSTANTS
FERMI GAS
FERMIONS
GROUND STATES
HEISENBERG MODEL
J-J COUPLING
MAGNETIC FIELDS
MESONS
P WAVES
S WAVES
SPIN
STABILITY
TEMPERATURE RANGE 0000-0013 K
THREE-BODY PROBLEM
WAVEGUIDES
ZEEMAN EFFECT