Strongly paired fermions: Cold atoms and neutron matter

Abstract

Experiments with cold Fermi atoms can be tuned to probe strongly interacting fluids that are very similar to the low-density neutron matter found in the crusts of neutron stars. In contrast to traditional superfluids and superconductors, matter in this regime is very strongly paired, with gaps of the order of the Fermi energy. We compute the T=0 equation of state and pairing gap for cold atoms and low-density neutron matter as a function of the Fermi momentum times the scattering length. Results of quantum Monte Carlo calculations show that the equations of state are very similar. The neutron matter pairing gap at low densities is found to be very large but, except at the smallest densities, significantly suppressed relative to cold atoms because of the finite effective range in the neutron-neutron interaction.

5 pages, 4 figures; 3 references added; v2 corresponds to the published version

References in corpus (7)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories

Cited by in corpus (77)

• Theory of ultracold Fermi gases
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Constraints on neutron star radii based on chiral effective field theory interactions
• Building relativistic mean field models for finite nuclei and neutron stars
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• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Universal Properties of the Ultra-Cold Fermi Gas
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• Tests of the nuclear equation of state and superfluid and superconducting gaps using the Cassiopeia A neutron star
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Resonantly Interacting Fermions In a Box
• Cold neutrons trapped in external fields
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Higgs mode in a strongly interacting fermionic superfluid
• Critical Temperature Curve in the BEC-BCS Crossover
• Effective pairing interactions with isospin density dependence
• Superfluid Heat Conduction and the Cooling of Magnetized Neutron Stars
• NS 1987A in SN 1987A
• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Excitation Spectrum and Superfluid Gap of an Ultracold Fermi Gas
• The Neutron Star Crust: Nuclear Physics Input
• Equation of state of low--density neutron matter and the ${}^1{S}_0$ pairing gap
• Effective-Range Dependence of Resonantly Interacting Fermions
• Heavy-Light Fermion Mixtures at Unitarity
• First and second sound in a strongly interacting Fermi gas
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Superfluid Response and the Neutrino Emissivity of Neutron Matter
• Enhanced critical temperature, pairing fluctuation effects, and BCS-BEC crossover in a two-band Fermi gas
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• The ${}^1$S${}_0$ pairing gap in neutron matter
• From resonantly interacting fermions with effective range to neutron matter
• Cold Atom Quantum Simulator for Dilute Neutron Matter
• Collective Modes in a Superfluid Neutron Gas within the Quasiparticle Random-Phase Approximation
• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• Trapped unitary two-component Fermi gases with up to ten particles
• Effective 3-Body Interaction for Mean-Field and Density-Functional Theory
• QCD-like phase diagram with Efimov trimers and Cooper pairs in resonantly interacting SU(3) Fermi gases
• Role of the effective range in the density-induced BEC-BCS crossover
• Effects of periodic potentials on the critical velocity of superfluid Fermi gases in the BCS-BEC crossover
• Fermionic Quantum Turbulence: Pushing the Limits of High-Performance Computing
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction
• Semi-contact 3-body interaction for nuclear density functional theory
• Spin-polarized low-density neutron matter
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
• Extension of time-dependent Hartree-Fock-Bogoliubov equations
• Auxiliary Field Quantum Monte Carlo for Dilute Neutrons on the Lattice
• Superfluid neutron matter with a twist
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
• Quantum Monte Carlo method applied to strongly correlated dilute fermi gases with finite effective range
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Probing Strong Field $f(R)$ Gravity and Ultra-Dense Matter with the Structure and Thermal Evolution of Neutron Stars
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Critical Zeeman Splitting of a Unitary Fermi Superfluid
• Spin-dipole mode in a trapped Fermi gas near unitarity
• Collective excitation and stability of flow-induced gapless Fermi superfluids
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Superfluid properties of dilute neutron matter
• Spin Entanglement -- A Unifying Principle for Superconductors and Molecular Bonding
• Cold atoms beyond atomic physics
• Effects of dilute neutron matter on the neutron star crust equation of state
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Skyrme-based extrapolation for the static response of neutron matter
• The role of the effective range in strongly-interacting few-body systems
• Hartree shift and pairing gap in ultracold Fermi gases in the framework of low-momentum interactions
• Ab initio study of the neutron and Fermi polarons on the lattice
• Local energy density functional for superfluid Fermi gases from effective field theory
• Higgs oscillations in a unitary Fermi superfluid
• Low Energy Continuum and Lattice Effective Field Theories
• Thermal liquid-gas phase transition in a quasi-one-dimensional dipolar Fermi gas
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices