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A unique feature of the hybrid quantum Monte Carlo (HQMC) method is the potential to simulate negative sign free lattice fermion models with subcubic scaling in system size. Here we will revisit the algorithm for various models. We will…

强关联电子 · 物理学 2018-03-09 Stefan Beyl , Florian Goth , Fakher F. Assaad

We explore a self-learning Markov chain Monte Carlo method based on the Adversarial Non-linear Independent Components Estimation Monte Carlo, which utilizes generative models and artificial neural networks. We apply this method to the…

无序系统与神经网络 · 物理学 2021-01-06 Matija Medvidovic , Juan Carrasquilla , Lauren E. Hayward , Bohdan Kulchytskyy

The hybrid Monte Carlo (HMC) algorithm is a ubiquitous method in computational physics with applications ranging from condensed matter to lattice QCD and beyond. However, HMC simulations often suffer from long autocorrelation times,…

高能物理 - 格点 · 物理学 2025-05-07 Johann Ostmeyer , Pavel Buividovich

We enable the automatic construction of Hybrid Monte Carlo (HMC) forces in lattice gauge theory by performing reverse-mode automatic differentiation at the level of optimized LLVM intermediate representation, making the approach applicable…

高能物理 - 格点 · 物理学 2026-02-25 Yuki Nagai , Akio Tomiya , Hiroshi Ohno

The role of non-local Coulomb correlations in the honeycomb lattice is investigated within cluster dynamical mean field theory combined with finite-temperature exact diagonalization. The paramagnetic semi-metal to insulator transition is…

强关联电子 · 物理学 2015-05-20 A. Liebsch

In order to solve quantum field theory in a non-perturbative way, Lagrangian lattice simulations have been very successful. Here we discuss a recently proposed alternative Hamiltonian lattice formulation - the Monte Carlo Hamiltonian. In…

高能物理 - 格点 · 物理学 2007-05-23 H. Kröger , X. Q. Luo , K. J. M. Moriarty

UKQCD's dynamical fermion project uses the Generalised Hybrid Monte-Carlo (GHMC) algorithm to generate QCD gauge configurations for a non-perturbatively O(a) improved Wilson action with two degenerate sea-quark flavours. We describe our…

高能物理 - 格点 · 物理学 2009-10-30 Z. Sroczynski , S. M. Pickles , S. P. Booth

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…

强关联电子 · 物理学 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

We discuss recent algorithmic improvements in simulating finite temperature QCD on a lattice. In particular, the Rational Hybrid Monte Carlo(RHMC) algorithm is employed to generate lattice configurations for 2+1 flavor QCD. Unlike the…

高能物理 - 格点 · 物理学 2008-11-26 M. Cheng , M. A. Clark , C. Jung , R. D. Mawhinney

We study the thermal phase transition in colour SU(3) Quantum Chromodynamics (QCD) with a variable number of fermions in the fundamental representation by using lattice Monte-Carlo simulations. We collect the (pseudo) critical couplings for…

高能物理 - 格点 · 物理学 2013-03-19 Kohtaroh Miura , Maria Paola Lombardo

Critical slowing down, where autocorrelation grows rapidly near the continuum limit due to Hybrid Monte Carlo (HMC) moving through configuration space inefficiently, still challenges lattice gauge theory simulations. Combining neural field…

高能物理 - 格点 · 物理学 2025-11-05 Jinchen He , Xiao-Yong Jin , James C. Osborn , Yong Zhao

We present a study of the parallel tempering (replica exchange) Monte Carlo method, with special focus on the feedback-optimized parallel tempering algorithm, used for generating an optimal set of simulation temperatures. This method is…

统计力学 · 物理学 2014-10-15 Krzysztof Lewandowski , Piotr Knychala , Michal Banaszak

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

量子气体 · 物理学 2010-12-16 N. Blümer , E. V. Gorelik

Monte Carlo (MC) simulations are essential computational approaches with widespread use throughout all areas of science. We present a method for accelerating lattice MC simulations using fully connected and convolutional artificial neural…

强关联电子 · 物理学 2019-07-31 Shaozhi Li , Philip M. Dee , Ehsan Khatami , Steven Johnston

The Hamiltonian formulation of Lattice QCD with staggered fermions in the strong coupling limit has no sign problem at non-zero baryon density and allows for Quantum Monte Carlo simulations. We have extended this formalism to two flavors,…

高能物理 - 格点 · 物理学 2022-12-23 Pratitee Pattanaik , Wolfgang Unger

As the continuum limit is approached, lattice QCD simulations tend to get trapped in the topological charge sectors of field space and may consequently give biased results in practice. We propose to bypass this problem by imposing open…

高能物理 - 格点 · 物理学 2015-05-28 Martin Lüscher , Stefan Schaefer

It has become increasingly important to include one or more individual flavours of dynamical fermion in lattice QCD simulations. This is due in part to the advent of QCD+QED calculations, where isospin symmetry breaking means that the up,…

高能物理 - 格点 · 物理学 2019-03-27 Taylor Haar , Waseem Kamleh , James Zanotti , Yoshifumi Nakamura

This paper investigates the self-similar solutions of the Einstein-axion-dilaton configuration from type IIB string theory and the global SL(2,R) symmetry. We consider the Continuous Self Similarity (CSS), where the scale transformation is…

高能物理 - 理论 · 物理学 2023-11-30 Armin Hatefi , Ehsan Hatefi

Embarrassingly (communication-free) parallel Markov chain Monte Carlo (MCMC) methods are commonly used in learning graphical models. However, MCMC cannot be directly applied in learning topic models because of the quasi-ergodicity problem…

机器学习 · 计算机科学 2017-08-11 Lee Gao , Ronghuo Zheng

Adaptive Markov chain Monte Carlo (MCMC) algorithms, which automatically tune their parameters based on past samples, have proved extremely useful in practice. The self-tuning mechanism makes them `non-Markovian', which means that their…

概率论 · 数学 2024-08-28 Pietari Laitinen , Matti Vihola