4.6 Article

Ground-state energy of the unitary Fermi gas from the epsilon expansion

Journal

PHYSICAL REVIEW A
Volume 79, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.79.013627

Keywords

fermion systems; ground states; interpolation

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We update the ground-state energy ratio of unitary Fermi gas to noninteracting Fermi gas (xi) from the epsilon expansion by including the next-to-next-to-leading-order (NNLO) term near two spatial dimensions. Interpolations of the NNLO epsilon expansions around four and two spatial dimensions with the use of Pade approximants give xi approximate to 0.360 +/- 0.020 in three dimensions with the uncertainty due to different interpolation functions. This value is consistent with the previous interpolations of the NLO epsilon expansions xi approximate to 0.377 +/- 0.014 in spite of the large NNLO corrections.

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