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Title: Spin polarized nonrelativistic fermions in 1 + 1 dimensions

Abstract

We study by Monte Carlo methods the thermodynamics of a spin polarized gas of nonrelativistic 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 nonperturbatively 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.

Authors:
; ;
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States); George Washington Univ., Washington, DC (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1471762
Alternate Identifier(s):
OSTI ID: 1498928
Grant/Contract Number:  
FG02-95ER40907; FG02-93ER-40762; FG02-93ER40762
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Alexandru, Andrei, Bedaque, Paulo F., and Warrington, Neill C. Spin polarized nonrelativistic fermions in 1 + 1 dimensions. United States: N. p., 2018. Web. https://doi.org/10.1103/PhysRevD.98.054514.
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Alexandru, Andrei, Bedaque, Paulo F., & Warrington, Neill C. Spin polarized nonrelativistic fermions in 1 + 1 dimensions. United States. https://doi.org/10.1103/PhysRevD.98.054514
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Alexandru, Andrei, Bedaque, Paulo F., and Warrington, Neill C. Thu . "Spin polarized nonrelativistic fermions in 1 + 1 dimensions". United States. https://doi.org/10.1103/PhysRevD.98.054514.
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@article{osti_1471762,
title = {Spin polarized nonrelativistic fermions in 1 + 1 dimensions},
author = {Alexandru, Andrei and Bedaque, Paulo F. and Warrington, Neill C.},
abstractNote = {We study by Monte Carlo methods the thermodynamics of a spin polarized gas of nonrelativistic 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 nonperturbatively 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.},
doi = {10.1103/PhysRevD.98.054514},
journal = {Physical Review D},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}
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Journal Article:
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https://doi.org/10.1103/PhysRevD.98.054514
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Figures / Tables:

Figure 1 Figure 1: FIG. 1. Continuum time limit for the density (left) and spin (right) at βμ = 2.0 and βh = 2.0. The spatial lattice spacing is fixed to Δx = 1 and the number of sites to Nx = 61. The extrapolation is done with a quadratic correction formore » the exponentiated form and with a linear correction for the other case.« less
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