Cold dilute neutron matter on the lattice II: Results in the unitary limit

Abstract

This is the second of two papers which investigate cold dilute neutron matter on the lattice using pionless effective field theory. In the unitary limit, where the effective range is zero and scattering length is infinite, simple scaling relations relate thermodynamic functions at different temperatures. When the second virial coefficient is properly tuned, we find that the lattice results obey these scaling relations. We compute the energy per particle, pressure, spin susceptibility, dineutron correlation function, and an upper bound for the superfluid critical temperature.

16 pages, 9 figures

Cited by in corpus (61)

• Nuclear effective field theory: status and perspectives
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• The physics of dense hadronic matter and compact stars
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• No-core shell model in an effective-field-theory framework
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Momentum Distribution and Contact of the Unitary Fermi gas
• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Thermodynamics of a Trapped Unitary Fermi Gas
• The ground state energy at unitarity
• Ground state energy of spin-1/2 fermions in the unitary limit
• 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
• Black holes and non-relativistic quantum systems
• Lattice Monte Carlo calculations for unitary fermions in a harmonic trap
• 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
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• Benchmark calculations for elastic fermion-dimer scattering
• The triton and three-nucleon force in nuclear lattice simulations
• Unitary Fermi gas at finite temperature in the epsilon expansion
• The Equation of State of the Unitary Fermi Gas: An Update on Lattice Calculations
• From Low-Density Neutron Matter to the Unitary Limit
• Chiral effective field theory on the lattice at next-to-leading order
• Effective Field Theory and Finite Density Systems
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• BEC-BCS Crossover in the Epsilon Expansion
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation
• Universality in a 2-component Fermi System at Finite Temperature
• Precision benchmark calculations for four particles at unitarity
• The symmetric heavy-light ansatz
• Ground state energy of unitary fermion gas with the Thomson Problem approach
• Eliminating the wave function singularity for ultracold atoms by similarity transformation
• Numerical study of the unitary Fermi gas across the superfluid transition
• Superfluidity and excitations at unitarity
• Temperature-dependent errors in nuclear lattice simulations
• Fermi gases with imaginary mass imbalance and the sign problem in Monte Carlo calculations
• Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
• Superfluid Condensate Fraction and Pairing Wave Function of the Unitary Fermi Gas
• On the viscosity to entropy density ratio for unitary Bose and Fermi Gases
• Quantum Monte Carlo study of dilute neutron matter at finite temperatures
• Low-momentum ring diagrams of neutron matter at and near the unitary limit
• Unitarity potentials and neutron matter at the unitary limit
• Lattice Effective Field Theory Simulations of Nuclei
• S-matrix approach to quantum gases in the unitary limit II: the three-dimensional case
• $D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Lattice methods and the nuclear few- and many-body problem
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Worldline Monte Carlo method for few body nuclear physics
• Quasiclassical molecular dynamics for the dilute Fermi gas at unitarity
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations