Resonantly Interacting Fermions In a Box

Abstract

We use two fundamental theoretical frameworks to study the finite-size (shell) properties of the unitary gas in a periodic box: 1) an ab initio Quantum Monte Carlo (QMC) calculation for boxes containing 4 to 130 particles provides a precise and complete characterization of the finite-size behavior, and 2) a new Density Functional Theory (DFT) fully encapsulates these effects. The DFT predicts vanishing shell structure for systems comprising more than 50 particles, and allows us to extrapolate the QMC results to the thermodynamic limit, providing the tightest bound to date on the ground-state energy of the unitary gas: ξ_S <= 0.383(1). We also apply the new functional to few-particle harmonically trapped systems, comparing with previous calculations.

Updated to correspond with published version: 4+ pages, 2 figures, 2 tables, Palatino and Euler fonts

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Cited by in corpus (84)

• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• BCS-BEC Crossover and the Unitary Fermi Gas
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Few-body physics with ultracold atomic and molecular systems in traps
• Nucleon Effective Masses in Neutron-Rich Matter
• Neutron Matter from Low to High Density
• Auxiliary Field quantum Monte Carlo for Strongly Paired Fermions
• The equation of state of neutron matter, symmetry energy, and neutron star structure
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
• Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
• Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Effective-Range Dependence of Resonantly Interacting Fermions
• Lattice methods for strongly interacting many-body systems
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• Ab initio nuclear thermodynamics
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• Effective density functionals beyond mean field
• Pairing of few Fermi atoms in one dimension
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• First and second sound in a highly elongated Fermi gas at unitarity
• The contact in the unitary Fermi gas across the superfluid phase transition
• Resummation of in-medium ladder diagrams: s-wave effective range and p-wave interaction
• Third virial coefficient of the unitary Bose gas
• Rotating quantum turbulence in the unitary Fermi gas
• The $s$-wave scattering length of a Gaussian potential
• Dynamic density and spin responses of a superfluid Fermi gas in the BCS-BEC crossover: Path integral formulation and pair fluctuation theory
• The ${}^1$S${}_0$ pairing gap in neutron matter
• Validating Simple Dynamical Simulations of the Unitary Fermi Gas
• Fermionic shock waves - dissipative or dispersive?
• From resonantly interacting fermions with effective range to neutron matter
• Ground state of the two-dimensional attractive Fermi gas: essential properties from few- to many-body
• The pseudogap regime in the unitary Fermi gas
• Stoner ferromagnetism of a strongly interacting Fermi gas in the quasirepulsive regime
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Effective-range dependence of resonant Fermi gases
• Clustering of Four-Component Unitary Fermions
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• The BCS-BEC Crossover
• Atomic Fermi gas at the unitary limit by quantum Monte Carlo methods: Effects of the interaction range
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• The Shear Viscosity in an Anisotropic Unitary Fermi Gas
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• Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
• Pair condensation in a Finite Trapped Fermi Gas
• Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
• Neural Wave Functions for Superfluids
• Phase separation in low-density neutron matter
• Two-band description of resonant superfluidity in atomic Fermi gases
• Superfluid Condensate Fraction and Pairing Wave Function of the Unitary Fermi Gas
• Lattice theory for nonrelativistic fermions in one spatial dimension
• Fermionic Quantum Turbulence: Pushing the Limits of High-Performance Computing
• Theory of strongly paired fermions with arbitrary short-range interactions
• Vortex line in the unitary Fermi gas
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• Vortices in low-density neutron matter and cold Fermi gases
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Dynamic structure factor of a strongly correlated Fermi superfluid within a density functional theory approach
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Bulk viscosity and conformal symmetry breaking in the dilute Fermi gas near unitarity
• Detecting Entrainment in Fermi-Bose Mixtures
• A Universal Energy Functional for Trapped Fermi Gases with Large Scattering Length
• Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Are smooth pseudopotentials a good choice for representing short-range interactions?
• Stability of resonantly interacting heavy-light Fermi mixtures
• Mean-field vs RPA calculation of the energy of an impurity immersed in a spin 1/2 superfluid
• Dynamic structure function of a cold Fermi gas at unitarity
• Quantum Monte Carlo study of strongly interacting Fermi gases
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Three-body contact for fermions. I. General relations
• Spin-dipole mode in a trapped Fermi gas near unitarity
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• Cold atoms beyond atomic physics
• An Effective Series Expansion to the Equation of State of Unitary Fermi Gases
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