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Title: Stability of spinor Fermi gases in tight waveguides

Abstract

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.

Authors:
;  [1];  [2]
  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)
Publication Date:
OSTI Identifier:
21011284
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 76; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.76.013615; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Campo, A. del, Muga, J. G., and Girardeau, M. D. Stability of spinor Fermi gases in tight waveguides. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.013615.
Campo, A. del, Muga, J. G., & Girardeau, M. D. Stability of spinor Fermi gases in tight waveguides. United States. doi:10.1103/PHYSREVA.76.013615.
Campo, A. del, Muga, J. G., and Girardeau, M. D. Sun . "Stability of spinor Fermi gases in tight waveguides". United States. doi:10.1103/PHYSREVA.76.013615.
@article{osti_21011284,
title = {Stability of spinor Fermi gases in tight waveguides},
author = {Campo, A. del and Muga, J. G. and Girardeau, M. D.},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.76.013615},
journal = {Physical Review. A},
number = 1,
volume = 76,
place = {United States},
year = {Sun Jul 15 00:00:00 EDT 2007},
month = {Sun Jul 15 00:00:00 EDT 2007}
}