Ground state energy of spin-1/2 fermions in the unitary limit

Abstract

We present lattice results for the ground state energy of a spin-1/2 fermion system in the unitary limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the ground state energy for a system of 6, 10, 14, 18, and 22 particles, with equal numbers of up and down spins in a periodic cube. We estimate that in the limit of large number of particles, the ground state energy is 0.25(3) times the ground state energy of the free Fermi system.

17 pages, 9 figures, expanded manuscript includes more data and cross-checks

References in corpus (5)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Cold dilute neutron matter on the lattice II: Results in the unitary limit
• Density-functional theory for fermions in the unitary regime
• Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths
• The triton and three-nucleon force in nuclear lattice simulations

Cited by in corpus (50)

• Theory of ultracold Fermi gases
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Auxiliary Field quantum Monte Carlo for Strongly Paired Fermions
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Nuclear binding near a quantum phase transition
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Thermodynamics of a Trapped Unitary Fermi Gas
• The ground state energy at unitarity
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Lattice methods for strongly interacting many-body systems
• Lattice Monte Carlo calculations for unitary fermions in a finite box
• Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Spectral convexity for attractive SU(2N) fermions
• From Low-Density Neutron Matter to the Unitary Limit
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• Large-N droplets in two dimensions
• Density functional theory for fermions close to the unitary regime
• BEC-BCS Crossover in the Epsilon Expansion
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• Hyperbolic Bloch equations: atom-cluster kinetics of an interacting Bose gas
• 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
• Ground state energy of unitary fermion gas with the Thomson Problem approach
• Atomic Fermi gas at the unitary limit by quantum Monte Carlo methods: Effects of the interaction range
• Temperature-dependent errors in nuclear lattice simulations
• Superfluidity and excitations at unitarity
• Excitation picture of an interacting Bose gas
• BEC-BCS crossover of a trapped Fermi gas without using the local density approximation
• Superfluid Condensate Fraction and Pairing Wave Function of the Unitary Fermi Gas
• Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance
• Polarized fermions in the unitarity limit
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
• Exact renormalisation group flow for ultracold Fermi gases in unitary limit
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Auxiliary Field Quantum Monte Carlo for Dilute Neutrons on the Lattice
• How machine learning conquers the unitary limit
• S-matrix approach to quantum gases in the unitary limit I: the two-dimensional case
• Mapping the Two-Component Atomic Fermi Gas to the Nuclear Shell-Model
• Unitary Fermi gas in the epsilon expansion
• From Trapped Atoms to Liberated Quarks
• Effective Field Theory and the Nuclear Many Body Problem