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

Abstract

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=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=0.377+/-0.014 in spite of the large NNLO corrections.

arXiv comment6 pages, 5 figures; (v2) corrected NNLO term near d=2; (v3) published version

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• Lattice methods for strongly interacting many-body systems
• Lattice Monte Carlo calculations for unitary fermions in a finite box
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• Ultracold atoms at unitarity within quantum Monte Carlo
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• Precision benchmark calculations for four particles at unitarity
• Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
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• Scalar resonance in graviton-graviton scattering at high-energies: the graviball
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• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• An Effective Series Expansion to the Equation of State of Unitary Fermi Gases