Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length

Abstract

We extend previous work on applying the epsilon-expansion to universal properties of a cold, dilute Fermi gas in the unitary regime of infinite scattering length. We compute the ratio xi = mu/epsilon_F of chemical potential to ideal gas Fermi energy to next-to-next-to-leading order (NNLO) in epsilon=4-d, where d is the number of spatial dimensions. We also explore the nature of corrections from the order after NNLO.

arXiv comment28 pages, 14 figures

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• Many-Body Physics with Ultracold Gases
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• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Particle-hole fluctuations in the BCS-BEC Crossover
• Ultracold atoms and the Functional Renormalization Group
• The ground state energy at unitarity
• Lattice methods for strongly interacting many-body systems
• Lattice Monte Carlo calculations for unitary fermions in a finite box
• Pseudogaps in strongly interacting Fermi gases
• Functional renormalization group approach to the BCS-BEC crossover
• Lattice Monte Carlo calculations for unitary fermions in a harmonic trap
• Thermodynamics of a trapped unitary Fermi gas
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Phase structure of spin-imbalanced unitary Fermi gases
• Modified Fermi-sphere, pairing gap and critical temperature for the BCS-BEC crossover
• From Low-Density Neutron Matter to the Unitary Limit
• Unitary Fermi gas, epsilon expansion, and nonrelativistic conformal field theories
• Effective Field Theory and Finite Density Systems
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• Phase Diagram of a Strongly Interacting Spin-Imbalanced Fermi Gas
• Stoner ferromagnetism of a strongly interacting Fermi gas in the quasirepulsive regime
• Precision benchmark calculations for four particles at unitarity
• The symmetric heavy-light ansatz
• Ground-state energy of the unitary Fermi gas from the epsilon expansion
• Conformality Lost in Efimov Physics
• The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
• Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
• Phonon contribution to the shear viscosity of a superfluid Fermi gas in the unitarity limit
• Superfluid Condensate Fraction and Pairing Wave Function of the Unitary Fermi Gas
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• The Contact in the BCS-BEC crossover for finite range interacting ultracold Fermi gases
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
• Beyond Gaussian pair fluctuation theory for strongly interacting Fermi gases
• Effective Lagrangian of unitary Fermi gas from $\epsilon$ expansion
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Effective Theories of Dense and Very Dense Matter
• Three comments on the Fermi gas at unitarity in a harmonic trap
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Low energy density correlation function of the degenerate unitary Fermi gas from epsilon expansion
• An Effective Series Expansion to the Equation of State of Unitary Fermi Gases