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 (14)

• Many-Body Physics with Ultracold Gases
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Verification of universal relations in a strongly interacting Fermi gas
• Strongly paired fermions: Cold atoms and neutron matter
• Number of closed-channel molecules in the BEC-BCS crossover
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Resonantly Interacting Fermions In a Box
• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• 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
• Density-functional theory for fermions in the unitary regime
• Pair correlations of an expanding superfluid Fermi gas
• Density functional theory for fermions close to the unitary regime

Cited by in corpus (3)

• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory