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Related papers: Neutron matter at zero temperature with auxiliary …

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Neutron matter is interesting both as an extension of terrestrial nuclear physics and due to its significance for the study of neutron stars. In this work, after some introductory comments on nuclear forces, nuclear ab initio theory, and…

Nuclear Theory · Physics 2020-04-13 Mateusz Buraczynski , Nawar Ismail , Alexandros Gezerlis

We offer a new proposal for the Monte Carlo treatment of many-fermion systems in continuous space. It is based upon Diffusion Monte Carlo with significant modifications: correlated pairs of random walkers that carry opposite signs;…

Condensed Matter · Physics 2009-10-31 M. H. Kalos , Francesco Pederiva

The validation, verification, and uncertainty quantification of computationally expensive theoretical models of quantum many-body systems require the construction of fast and accurate emulators. In this work, we develop emulators for…

We present the equation of state of infinite neutron matter as obtained from highly-realistic Hamiltonians that include nucleon-nucleon and three-nucleon coordinate-space potentials. We benchmark three independent many-body methods:…

Nuclear Theory · Physics 2022-06-08 A. Lovato , I. Bombaci , D. Logoteta , M. Piarulli , R. B. Wiringa

Variational Monte Carlo and Green's function Monte Carlo are powerful tools for calculations of properties of light nuclei using realistic two-nucleon and three-nucleon potentials. Recently the GFMC method has been extended to multiple…

Nuclear Theory · Physics 2009-11-10 Steven C. Pieper

We consider the problem of including $\Lambda$ hyperons into the ab initio framework of nuclear lattice effective field theory. In order to avoid large sign oscillations in Monte Carlo simulations, we make use of the fact that the number of…

Nuclear Theory · Physics 2020-11-30 Dillon Frame , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

Ab initio auxiliary-field quantum Monte Carlo (AFQMC) is a systematically improvable many-body method, but its application to extended solids has been severely limited by unfavorable computational scaling and memory requirements that…

Strongly Correlated Electrons · Physics 2026-02-25 Jinghong Zhang , Meng-Fu Chen , Adam Rettig , Tong Jiang , Paul J. Robinson , Hieu Q. Dinh , Anton Z. Ni , Joonho Lee

Many experimentally-accessible, finite-sized interacting quantum systems are most appropriately described by the canonical ensemble of statistical mechanics. Conventional numerical simulation methods either approximate them as being coupled…

Strongly Correlated Electrons · Physics 2023-05-23 Tong Shen , Hatem Barghathi , Jiangyong Yu , Adrian Del Maestro , Brenda Rubenstein

The auxiliary field diffusion Monte Carlo method uses imaginary-time projection techniques to accurately solve the ground-state wave function of atomic nuclei and infinite nuclear matter. In this work, we present a novel representation of…

Nuclear Theory · Physics 2024-07-23 Jordan M. R. Fox , Alessandro Lovato , Alessandro Roggero , Ermal Rrapaj

Nuclear many-body systems, ranging from nuclei to neutron stars, are some of the most interesting physical phenomena in our universe, and Quantum Monte Carlo (QMC) approaches are among the most accurate many-body methods currently available…

Nuclear Theory · Physics 2025-01-03 Ryan Curry , Rahul Somasundaram , Stefano Gandolfi , Alexandros Gezerlis , Ingo Tews

An accurate assessment of the hyperon-nucleon interaction is of great interest in view of recent observations of very massive neutron stars. The challenge is to build a realistic interaction that can be used over a wide range of masses and…

Nuclear Theory · Physics 2014-01-22 Diego Lonardoni , Francesco Pederiva , Stefano Gandolfi

The auxiliary-field quantum Monte Carlo (AFQMC) method provides a computational framework for solving the time-independent Schroedinger equation in atoms, molecules, solids, and a variety of model systems. AFQMC has recently witnessed…

Computational Physics · Physics 2018-08-14 Mario Motta , Shiwei Zhang

Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for…

Nuclear Theory · Physics 2016-11-28 P. Klos , J. E. Lynn , I. Tews , S. Gandolfi , A. Gezerlis , H. -W. Hammer , M. Hoferichter , A. Schwenk

The properties of low-density neutron matter are important for the understanding of neutron star crusts and the exterior of large neutron-rich nuclei. We examine various properties of dilute neutron matter using quantum Monte Carlo methods,…

Nuclear Theory · Physics 2010-05-07 Alexandros Gezerlis , J. Carlson

Neutron matter, through its connection to neutron stars as well as systems like cold atom gases, is one of the most interesting yet computationally accessible systems in nuclear physics. The Configuration-Interaction Monte Carlo (CIMC)…

Nuclear Theory · Physics 2023-04-19 Pierre Arthuis , Carlo Barbieri , Francesco Pederiva , Alessandro Roggero

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

Strongly Correlated Electrons · Physics 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

Over the last decade, ingenuous developments in Monte Carlo methods have enabled the unbiased estimation of adjoint-weighted reactor parameters expressed as bilinear forms, such as kinetics parameters and sensitivity coefficients. A…

Computational Physics · Physics 2024-07-09 Eric Dumonteil , Emma Horton , Andreas E. Kyprianou , Andrea Zola

We calculate the magnetic moments of light nuclei ($A < 20$) using the auxiliary field diffusion Monte Carlo method and local two- and three-nucleon forces with electromagnetic currents from chiral effective field theory. For all nuclei…

Nuclear Theory · Physics 2023-09-27 J. D. Martin , S. J. Novario , D. Lonardoni , J. Carlson , S. Gandolfi , I. Tews

Quantum Monte Carlo methods are powerful numerical tools to accurately solve the Schr\"odinger equation for nuclear systems, a necessary step to describe the structure and reactions of nuclei and nucleonic matter starting from realistic…

Nuclear Theory · Physics 2020-05-01 Stefano Gandolfi , Diego Lonardoni , Alessandro Lovato , Maria Piarulli

We present an \textit{ab initio} auxiliary field quantum Monte Carlo method for studying the electronic structure of molecules, solids, and model Hamiltonians at finite temperature. The algorithm marries the \textit{ab initio} phaseless…

Strongly Correlated Electrons · Physics 2018-11-13 Yuan Liu , Minsik Cho , Brenda Rubenstein