Effective-Range Dependence of Resonantly Interacting Fermions

Abstract

We extract the leading effective range corrections to the equation of state of the unitary Fermi gas from ab initio fixed-node quantum Monte Carlo (FNQMC) calculations in a periodic box using a density functional theory (DFT), and show them to be universal by considering several two-body interactions. Furthermore, we find that the DFT is consistent with the best available unbiased QMC calculations, analytic results, and experimental measurements of the equation of state. We also discuss the asymptotic effective-range corrections for trapped systems and present the first QMC results with the correct asymptotic scaling.

11 pages, 5 figures: Updated to match published version

References in corpus (35)

• Theory of ultracold Fermi gases
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Superfluid Fermi Gases with Large Scattering Length
• Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Asymmetric Two-component Fermion Systems in Strong Coupling
• Two Nucleons on a Lattice
• Strongly paired fermions: Cold atoms and neutron matter
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Resonant Fermi gases with a large effective range
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Auxiliary Field quantum Monte Carlo for Strongly Paired Fermions
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Universal properties of a trapped two-component Fermi gas at unitarity
• Cold neutrons trapped in external fields
• Resonantly Interacting Fermions In a Box
• Pairing in low-density Fermi gases
• Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas
• Polarization Measurements and the Pairing Gap in the Universal Regime
• BEC-BCS crossover and universal relations in unitary Fermi gases
• Unitary Fermi Gas in a Harmonic Trap
• Density-functional theory for fermions in the unitary regime
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• The Unitary Gas and its Symmetry Properties
• Ultracold atoms at unitarity within quantum Monte Carlo
• Density functional theory for fermions close to the unitary regime
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• Precision benchmark calculations for four particles at unitarity
• Atomic Fermi gas at the unitary limit by quantum Monte Carlo methods: Effects of the interaction range
• Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
• Finite-range effects in dilute Fermi gases at unitarity

Cited by in corpus (51)

• Precise determination of the structure factor and contact in a unitary Fermi gas
• Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
• Use of the Discrete Variable Representation Basis in Nuclear Physics
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• Effective density functionals beyond mean field
• Strong-coupling corrections to ground-state properties of a superfluid Fermi gas
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Pairing correlations across the superfluid phase transition in the unitary Fermi gas
• Rotating quantum turbulence in the unitary Fermi gas
• Validating Simple Dynamical Simulations of the Unitary Fermi Gas
• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• From resonantly interacting fermions with effective range to neutron matter
• Predicting Energies of Small Clusters from the Inhomogeneous Unitary Fermi Gas
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• The pseudogap regime in the unitary Fermi gas
• Trapped unitary two-component Fermi gases with up to ten particles
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Effective-range dependence of resonant Fermi gases
• Fermion Pairing across a Dipolar Interaction Induced Resonance
• Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
• Contact interaction in an unitary ultracold Fermi gas
• Effective-range dependence of two-dimensional Fermi gases
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
• Neural Wave Functions for Superfluids
• The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity
• Role of the effective range in the density-induced BEC-BCS crossover
• Theory of strongly paired fermions with arbitrary short-range interactions
• Vortex line in the unitary Fermi gas
• Fermionic Quantum Turbulence: Pushing the Limits of High-Performance Computing
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Non-Universal and Universal Aspects of The Large Scattering Length Limit
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Detecting Entrainment in Fermi-Bose Mixtures
• Cluster formation in two-component Fermi gases
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Quantum Monte Carlo study of strongly interacting Fermi gases
• Response function of strongly interacting Fermi gas in a virial expansion
• Modeling atom-atom interactions at low energy by Jost-Kohn potentials
• Mapping the Two-Component Atomic Fermi Gas to the Nuclear Shell-Model
• BCS-BEC crossover of the strongly interacting ${}^6$Li-${}^{40}$K mixture
• Cold atoms beyond atomic physics
• Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps
• A model study on superfluidity of a unitary Fermi gas of atoms interacting with a finite-ranged potential
• Local energy density functional for superfluid Fermi gases from effective field theory
• Low Energy Continuum and Lattice Effective Field Theories