Spin Polarized Non-Relativistic Fermions in 1+1 Dimensions

Abstract

We study by Monte Carlo methods the thermodynamics of a spin polarized gas of non-relativistic fermions in 1+1 dimensions. The main result of this work is that our action suffers no significant sign problem for any spin polarization in the region relevant for dilute degenerate fermi gases. This lack of sign problem allows us to study attractive spin polarized fermions non-perturbatively at spin polarizations not previously explored. For some parameters values we verify results previously obtained by methods which include an uncontrolled step like complex Langevin and/or analytical continuation from imaginary chemical potential. For others, larger values of the polarization, we deviate from these previous results.

9 pages, 5 figures

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• QCD at non-zero density and canonical partition functions with Wilson fermions
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Cited by in corpus (11)

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• Structure Factors of The Unitary Gas Under Supernova Conditions
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Towards sampling complex actions
• Instanton gas approach to the Hubbard model
• A lattice pairing-field approach to ultracold Fermi gases
• The Hubbard model in the canonical formulation