From resonantly interacting fermions with effective range to neutron matter

Abstract

A density functional theory is proposed for strongly interacting fermions with arbitrary large negative scattering length. The functional has only two parameters that are directly fixed to reproduce the universal properties of unitary gas: the so-called "Bertsch parameter" ${\xi }_0$ and a parameter ${\eta }_e$ related to the possible influence of the effective range $r_e$ at infinite scattering length $a$. Using most recent quantum Monte-Carlo (QMC) estimates of these two parameters, it is shown that the functional properly reproduces the experimental measurements of interacting Fermi systems not only at unitarity but also away from this limit over a wide range of $(a{k}_F{)}^{-1}$ values. The functional is applied to obtain an expression of the Tan's contact parameter including the effect of $r_e$. Application is finally made to neutron matter. It is shown that most recent QMC results are well reproduced.

References in corpus (34)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold 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
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• The Unitary Fermi Gas: From Monte Carlo to Density Functionals
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Verification of universal relations in a strongly interacting Fermi gas
• Precise characterization of ^6Li Feshbach resonances using trap-sideband resolved RF spectroscopy of weakly bound molecules
• Quantum Monte Carlo Studies of Superfluid Fermi Gases
• Strongly paired fermions: Cold atoms and neutron matter
• Low-density neutron matter
• Universal behavior of pair correlations in a strongly interacting Fermi gas
• Number of closed-channel molecules in the BEC-BCS crossover
• Spectral Functions and rf Response of Ultracold Fermionic Atoms
• Resonant Fermi gases with a large effective range
• Neutron Matter from Low to High Density
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Auxiliary Field quantum Monte Carlo for Strongly Paired Fermions
• Effective Field Theory for Dilute Fermi Systems
• Resonantly Interacting Fermions In a Box
• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• Collective oscillations of a trapped Fermi gas near the unitary limit
• Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Effective-Range Dependence of Resonantly Interacting Fermions
• Many Body Methods and Effective Field Theory
• Density-functional theory for fermions in the unitary regime
• Lattice Monte Carlo calculations for unitary fermions in a harmonic trap
• Resummation of fermionic in-medium ladder diagrams to all orders
• Pair correlations of an expanding superfluid Fermi gas
• From dilute matter to the equilibrium point in the energy--density--functional theory
• Density functional theory for fermions close to the unitary regime

Cited by in corpus (20)

• Effective density functionals beyond mean field
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• A Lee-Yang--inspired functional with a density--dependent neutron-neutron scattering length
• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Clustering of Four-Component Unitary Fermions
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Towards a power counting in nuclear energy-density-functional theories through a perturbative analysis
• Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
• 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
• Transport in p-wave interacting Fermi gases
• Effects of dilute neutron matter on the neutron star crust equation of state
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods
• Local energy density functional for superfluid Fermi gases from effective field theory