Clustering of Four-Component Unitary Fermions

Abstract

Ab initio nuclear physics tackles the problem of strongly interacting four-component fermions. The same setting could foreseeably be probed experimentally in ultracold atomic systems, where two- and three-component experiments have led to major breakthroughs in recent years. Both due to the problem's inherent interest and as a pathway to nuclear physics, in this Letter we study four-component fermions at unitarity via the use of quantum Monte Carlo methods. We explore novel forms of the trial wave function and find one which leads to a ground state of the eight-particle system whose energy is almost equal to that of two four-particle systems. We investigate the clustering properties involved and also extrapolate to the zero-range limit. In addition to being experimentally testable, our results impact the prospects of developing nuclear physics as a perturbation around the unitary limit.

arXiv comment6+1 pages, 3+1 figures; v2 corresponds to published version

References in corpus (71)

• Theory of ultracold Fermi gases
• Universality in Few-body Systems with Large Scattering Length
• Renormalization of the Three-Body System with Short-Range Interactions
• Superfluid Fermi Gases with Large Scattering Length
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Efimov Physics: a review
• Chiral three-nucleon forces and neutron matter
• Quantum Monte Carlo calculations of A=8 nuclei
• The Three-Boson System with Short-Range Interactions
• Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Low-density neutron matter
• Strongly paired fermions: Cold atoms and neutron matter
• Universal Properties of the Four-Body System with Large Scattering Length
• The Four-Boson System with Short-Range Interactions
• Coupled-cluster calculations of nucleonic matter
• Ab initio alpha-alpha scattering
• Leading chiral three-nucleon forces along isotope chains in the calcium region
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• BCS-BEC crossover in a two-dimensional Fermi gas
• Light-nuclei spectra from chiral dynamics
• Neutron Matter from Low to High Density
• On the correlation between the binding energies of the triton and the alpha-particle
• Nuclear binding near a quantum phase transition
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Reduced regulator dependence of neutron-matter predictions with chiral interactions
• Resonantly Interacting Fermions In a Box
• No-core shell model in an effective-field-theory framework
• Delta isobars and nuclear saturation
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Properties of nuclei up to $A=16$ using local chiral interactions
• Nuclear Physics Around the Unitarity Limit
• Exact Numerical Results on the Ground State of Strongly Interacting Fermi Gases in Two Dimensions
• Weakly Bound Cluster States of Efimov Character
• Essential elements for nuclear binding
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Strongly interacting two-dimensional Fermi gases
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• Efimov physics in bosonic atom-trimer scattering
• Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• Four-Body Scale in Universal Few-Boson Systems
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Ground-state thermodynamic quantities of homogeneous spin-$1/2$ fermions from the BCS region to the unitarity limit
• Effective Field Theory for Few-Boson Systems
• Renormalization group study of the four-body problem
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• $N$-boson spectrum from a Discrete Scale Invariance
• Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
• Embedding nuclear physics inside the unitary window
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Ground-state properties of unitary bosons: from clusters to matter
• N-body Efimov states from two-particle noise
• Fate of the neutron-deuteron virtual state as an Efimov level
• Energy and structural properties of $N$-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
• From resonantly interacting fermions with effective range to neutron matter
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• Description of light nuclei in pionless effective field theory using the stochastic variational method
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Nuclear and neutron matter equations of state from high-quality potentials up to fifth order of the chiral expansion
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics

Cited by in corpus (14)

• Quantum Computing for Neutrino-nucleus Scattering
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Naturalness in Nuclear Effective Field Theories
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Few nucleons scattering in pionless effective field theory
• Demonstration of the Rodeo Algorithm on a Quantum Computer
• Lattice Effective Field Theory Simulations of Nuclei
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• The Four-Boson First-Excited State Near Two-Body Unitarity
• Report from the A.I. For Nuclear Physics Workshop
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• Cold atoms beyond atomic physics
• Controlled Gate Networks: Theory and Application to Eigenvalue Estimation
• Improved Actions for Nuclear Effective Field Theories