Quantum Monte Carlo approaches to nuclear and atomic physics

Abstract

Quantum Monte Carlo methods have proven to be valuable in the study of strongly correlated quantum systems, particularly nuclear physics and cold atomic gases. Historically, such ab initio simulations have been used to study properties of light nuclei, including spectra and form factors, low-energy scattering, and high-momentum properties including inclusive scattering and one- and two-body momentum distributions. More recently they have been used to study the properties of homogeneous and inhomogeneous neutron matter and cold atomic gases. There are close analogies between these seemingly diverse systems, including the equation of state, superfluid pairing, and linear response to external probes. In this paper, we compare and contrast results found in nuclear and cold atom physics. We show updated lattice results for the energy of the homogeneous unitary Fermi gas and comparisons with neutron matter, as well as for the dependence of the cold atom energy on the mass ratio between paired particles, which yields insights on the structure of the ground state. We also provide new lattice and continuum results for the harmonically trapped unitary gas, again comparing neutron matter and cold atoms.

arXiv comment20 pages, 12 figures

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• Quantum Monte Carlo calculations of symmetric nuclear matter
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Cited by in corpus (58)

• Equations of state for supernovae and compact stars
• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
• Neutron Stars and the Nuclear Equation of State
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• A new class of variance reduction techniques using lattice symmetries
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Neutron Matter from Low to High Density
• Covariant approximation averaging
• Chiral EFT based nuclear forces: Achievements and challenges
• Nuclear Equation of state for Compact Stars and Supernovae
• Correlated Fermion Pairs in Nuclei and Ultracold Atomic Gases
• Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
• Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter
• Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
• Contact and Momentum Distribution of the Unitary Fermi Gas
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• Equation of State for Nucleonic Matter and its Quark Mass Dependence from the Nuclear Force in Lattice QCD
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• The contact in the unitary Fermi gas across the superfluid phase transition
• Extracing the number of short-range corerlated nucleon pairs from inclusive electron scattering data
• Diagrammatic Monte Carlo algorithm for the resonant Fermi gas
• Relativistic Effects and Three-Nucleon Forces in Nuclear Matter and Nuclei
• Validating Simple Dynamical Simulations of the Unitary Fermi Gas
• From resonantly interacting fermions with effective range to neutron matter
• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• A Lee-Yang--inspired functional with a density--dependent neutron-neutron scattering length
• Predicting Energies of Small Clusters from the Inhomogeneous Unitary Fermi Gas
• Clustering of Four-Component Unitary Fermions
• Superfluid Phase Transitions and Effects of Thermal Pairing Fluctuations in Asymmetric Nuclear Matter
• Interplay between the 0+_2 resonance and the nonresonant continuum of the drip-line two-neutron halo nucleus 22C
• Two neutron decay from the $2_1^{+}$ state of ${}^6$He
• Contact interaction in an unitary ultracold Fermi gas
• Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
• Improved walker population control for full configuration interaction quantum Monte Carlo
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Unitary $p$-wave Fermi gas in one dimension
• Spin-polarized neutron matter at different orders of chiral effective field theory
• The Operator Product Expansion Beyond Leading Order for Two-Component Fermions
• Vortex line in the unitary Fermi gas
• Lee-Yang-inspired energy-density functional including contributions from $p$-wave scattering
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• Vortices in low-density neutron matter and cold Fermi gases
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Dynamical structure factor of a fermionic supersolid on an optical lattice
• Quantum Monte Carlo study of strongly interacting Fermi gases
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Toward precision Fermi liquid theory in two dimensions
• Mapping the Two-Component Atomic Fermi Gas to the Nuclear Shell-Model
• Cold atoms beyond atomic physics
• Two-Body Contact Dynamics in a Bose Gas near a Fano-Feshbach Resonance
• Neutrino-Neutron Scattering Opacities in Supernova Matter
• 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
• Impurity-controlled vortex mobility and pair-breaking in fermionic superfluid rings