Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo.
@article{Frame2019AbIS, title={Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo.}, author={Dillon K. Frame}, journal={arXiv: Nuclear Theory}, year={2019} }
In this work, we discuss a new method for calculation of extremal eigenvectors and eigenvalues in systems or regions of parameter space where direct calculation is problematic. This technique relies on the analytic continuation of the power series expansion for the eigenvector around a point in the complex plane. We start this document by introducing the background material relevant to understand the basics of quantum mechanics and quantum field theories on the lattice, how we perform our…
Figures and Tables from this paper
figure 2.1 figure 2.2 figure 2.3 figure 2.4 figure 2.5 figure 2.6 figure 2.7 figure 2.8 figure 3.1 figure 3.10 table 3.1 figure 3.11 figure 3.12 figure 3.13 figure 3.14 figure 3.15 figure 3.2 table 3.2 figure 3.3 table 3.3 figure 3.4 figure 3.5 figure 3.6 figure 3.7 figure 3.8 figure 3.9 figure 4.1 table 4.1 figure 4.10 figure 4.11 figure 4.12 figure 4.13 figure 4.14 figure 4.15 figure 4.16 figure 4.17 figure 4.18 figure 4.19 figure 4.2 table 4.2 figure 4.20 figure 4.21 figure 4.22 figure 4.23 figure 4.24 figure 4.25 figure 4.26 figure 4.27 figure 4.28 figure 4.29 figure 4.3 table 4.3 figure 4.30 figure 4.31 figure 4.32 figure 4.33 figure 4.34 figure 4.35 figure 4.4 figure 4.5 figure 4.6 figure 4.7 figure 4.8 figure 4.9
6 Citations
Fast&rigorous predictions for $A=6$ nuclei with Bayesian posterior sampling
- Physics
- 2021
We make ab initio predictions for the A = 6 nuclear level scheme based on twoand three-nucleon interactions up to next-to-next-to-leading order in chiral effective field theory (χEFT). We utilize…
Fast emulation of quantum three-body scattering
- Physics
- 2021
We develop a class of emulators for solving quantum three-body scattering problems. They are based on combining the variational method for scattering observables and the recently proposed eigenvector…
Many-Body Perturbation Theories for Finite Nuclei
- PhysicsFrontiers in Physics
- 2020
In recent years many-body perturbation theory encountered a renaissance in the field of ab initio nuclear structure theory. In various applications it was shown that perturbation theory, including…
Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
- PhysicsFew-Body Systems
- 2021
The introduction of chiral effective field theory by Steven Weinberg three decades ago has had a profound and lasting impact on nuclear physics. This brief review explores the impact of Weinberg’s…
References
SHOWING 1-10 OF 73 REFERENCES
Nuclear Binding Near a Quantum Phase Transition.
- PhysicsPhysical review letters
- 2016
Numerical evidence from ab initio lattice simulations shows that nature is near a quantum phase transition, a zero-temperature transition driven by quantum fluctuations, and it is shown that the alpha-alpha interactions depend on the strength and locality of the nucleon-nucleon interactions.
New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble
- Computer Science
- 2012
A new approach to the sign problem is introduced, that seems to offer much room for improvements, and is illustrated first in the simple case of a scalar field theory with chemical potential, and then extended to the more challenging case of QCD at finite baryonic density.
Nuclear lattice simulations using symmetry-sign extrapolation
- Physics
- 2015
Projection Monte Carlo calculations of lattice Chiral Effective Field Theory suffer from sign oscillations to a varying degree dependent on the number of protons and neutrons. Hence, such studies…
Form the density-of-states method to finite density quantum field theory
- Physics
- 2016
During the last 40 years, Monte Carlo calculations based upon Importance Sampling have matured into the most widely employed method for determinig first principle results in QCD. Nevertheless,…
Ab initio Calculations of the Isotopic Dependence of Nuclear Clustering.
- PhysicsPhysical review letters
- 2017
This Letter presents lattice Monte Carlo calculations based on chiral effective field theory for the ground states of helium, beryllium, carbon, and oxygen isotopes, and introduces a new computational approach called the pinhole algorithm, which solves a long-standing deficiency of auxiliary-field Monte-Carlo simulations in computing density correlations relative to the center of mass.
Nucleon-deuteron scattering using the adiabatic projection method
- Physics
- 2016
Abstract.In this paper we discuss the adiabatic projection method, a general framework for scattering and reaction calculations on the lattice. We also introduce several new techniques developed to…
Lattice improvement in lattice effective field theory
- PhysicsThe European Physical Journal A
- 2018
Abstract.Lattice calculations using the framework of effective field theory have been applied to a wide range of few-body and many-body systems. One of the challenges of these calculations is to…