FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study

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Baur, Stefan K.
Shumway, John
Mueller, Erich J.
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Abstract
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We study the three-fermion problem within a 1D model of a Feshbach resonance in order to gain insight into how the FFLO-like state at small negative scattering lengths evolves into a Bose-Fermi mixture at small positive scattering lengths. The FFLO state possesses an oscillating superfluid correlation function, while in a Bose-Fermi mixture correlations are monotonic. We find that this behavior is is already present at the 3-body level. We present an exact study of the 3-body problem, and gain extra insights by considering worldlines of a path integral Monte-Carlo calculation.
Comment: 6 pages, 4 figures - v3: published version
Keywords
Condensed Matter - Superconductivity, Condensed Matter - Quantum Gases
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