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.

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

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Nonrelativistic conformal field theories
• Epsilon expansion for a Fermi gas at infinite scattering length
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Fermi gas near unitarity around four and two spatial dimensions
• The ground state energy at unitarity
• Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Unitary Fermi gas at finite temperature in the epsilon expansion
• BEC-BCS Crossover in the Epsilon Expansion
• On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions
• Polarized fermions in the unitarity limit
• Effective Lagrangian of unitary Fermi gas from $\epsilon$ expansion

Cited by in corpus (6)

• Precision benchmark calculations for four particles at unitarity
• Scalar resonance in graviton-graviton scattering at high-energies: the graviball
• Dynamic structure factor of a strongly correlated Fermi superfluid within a density functional theory approach
• 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