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We investigate the two-dimensional cooperon-fermion model in the correlated regime with a new continuous-time diagrammatic determinant quantum Monte Carlo (DDQMC) algorithm. We estimate the transition temperature $T_{c}$, examine the…

超导电性 · 物理学 2015-03-19 Kai-Yu Yang , E. Kozik , Xin Wang , M. Troyer

We describe a general recipe for constructing Metropolis updates for Diagrammatic Monte-Carlo (DiagMC) algorithms, based on the Schwinger-Dyson equations in quantum field theory. This approach bypasses explicit duality transformations,…

高能物理 - 格点 · 物理学 2016-09-29 P. V. Buividovich

We introduce a new numerical technique -- bosonic auxiliary-field Monte Carlo (bAFMC) -- which allows to calculate the thermal properties of large lattice-boson systems within a systematically improvable semiclassical approach, and which is…

强关联电子 · 物理学 2017-08-02 Daniele Malpetti , Tommaso Roscilde

We consider dynamically constrained Monte-Carlo dynamics and show that this leads to the generation of long ranged effective interactions. This allows us to construct a local algorithm for the simulation of charged systems without ever…

统计力学 · 物理学 2009-11-10 L. Levrel , F. Alet , J. Rottler , A. C. Maggs

Hamiltonian Monte Carlo (HMC) is widely used for sampling from high dimensional target distributions with densities known up to proportionality. While HMC exhibits favorable scaling properties in high dimensions, it struggles with strongly…

统计计算 · 统计学 2025-07-30 Joonha Park

We report the development of a new pattern-recognition scheme for the off- lattice self-learning kinetic Monte Carlo (KMC) method that is simple and flex ible enough that it can be applied to all types of surfaces. In this scheme, to…

材料科学 · 物理学 2014-04-22 Giridhar Nandipati , Abdelkader Kara , Syed Islamuddin Shah , Talat S. Rahman

One of the many remarkable properties of graphene is that in the low energy limit the dynamics of its electrons can be effectively described by the massless Dirac equation. This has prompted investigations of graphene based on the lattice…

高能物理 - 格点 · 物理学 2012-04-25 Richard Brower , Claudio Rebbi , David Schaich

The use of APE smearing or other blocking techniques in lattice fermion actions can provide many advantages. There are many variants of these fat link actions in lattice QCD currently, such as FLIC fermions. The FLIC fermion formalism makes…

高能物理 - 格点 · 物理学 2010-03-04 Waseem Kamleh , Derek B. Leinweber , Anthony G. Williams

We propose a novel approach called Self-Learning Hybrid Monte Carlo (SLHMC) which is a general method to make use of machine learning potentials to accelerate the statistical sampling of first-principles density-functional-theory (DFT)…

材料科学 · 物理学 2020-08-05 Yuki Nagai , Masahiro Okumura , Keita Kobayashi , Motoyuki Shiga

Replica exchange Monte Carlo (reMC), also known as parallel tempering, is an important technique for accelerating the convergence of the conventional Markov Chain Monte Carlo (MCMC) algorithms. However, such a method requires the evaluation…

机器学习 · 统计学 2021-03-23 Wei Deng , Qi Feng , Liyao Gao , Faming Liang , Guang Lin

We study the improvement of simulations of QCD with dynamical Wilson fermions by combining the Hybrid Monte Carlo algorithm with parallel tempering. As an indicator for decorrelation we use the topological charge.

高能物理 - 格点 · 物理学 2015-06-25 E. -M. Ilgenfritz , Werner Kerler , H. Stüben

We propose a generalization of the Quantum Monte Carlo loop algorithm to the t-J model by a mapping to three coupled six-vertex models. The autocorrelation times are reduced by orders of magnitude compared to the conventional local…

强关联电子 · 物理学 2007-05-23 Beat Ammon , Hans Gerd Evertz , Naoki Kawashima , Matthias Troyer , Beat Frischmuth

A Markov chain update scheme using a machine-learned flow-based generative model is proposed for Monte Carlo sampling in lattice field theories. The generative model may be optimized (trained) to produce samples from a distribution…

高能物理 - 格点 · 物理学 2019-09-10 M. S. Albergo , G. Kanwar , P. E. Shanahan

Strongly correlated fermionic systems are of great interest in condensed matter physics and numerical methods are indispensable tools for their study. However, existing approaches such as exact diagonalization (ED) and stochastic quantum…

强关联电子 · 物理学 2026-03-19 Finn L. Temmen , Martina Gisti , David J. Luitz , Thomas Luu , Johann Ostmeyer

We present numerically exact continuous-time Quantum Monte Carlo algorithm for fermions with a general non-local in space-time interaction. The new determinantal grand-canonical scheme is based on a stochastic series expansion for the…

强关联电子 · 物理学 2009-11-10 A. N. Rubtsov , V. V. Savkin , A. I. Lichtenstein

The tempered Lefschetz thimble method (TLTM) is a parallel-tempering algorithm towards solving the numerical sign problem, where the system is tempered by the antiholomorphic gradient flow to tame both the sign and ergodicity problems…

高能物理 - 格点 · 物理学 2020-02-14 Masafumi Fukuma , Nobuyuki Matsumoto , Naoya Umeda

An exact, nonlocal, finite step-size algorithm for Monte Carlo simulation of theories with dynamical fermions is proposed. The algorithm is based on obtaining the new configuration U' from the old one U by solving the equation $ M(U') \eta…

高能物理 - 格点 · 物理学 2009-11-07 T. Bakeyev

For some models of interacting fermions the known solution to the notorious sign-problem in Monte Carlo (MC) simulations is to work with macroscopic fermionic determinants; the price, however, is a macroscopic scaling of the numerical…

强关联电子 · 物理学 2009-11-10 Evgueni Bourovski , Nikolay Prokof'ev , Boris Svistunov

The improvement of simulations of QCD with dynamical Wilson fermions by combining the Hybrid Monte Carlo algorithm with parallel tempering is studied on $10^4$ and $12^4$ lattices. As an indicator for decorrelation the topological charge is…

高能物理 - 格点 · 物理学 2007-05-23 E. -M. Ilgenfritz , W. Kerler , M. Müller-Preussker , H. Stüben

We consider parallel asynchronous Markov Chain Monte Carlo (MCMC) sampling for problems where we can leverage (stochastic) gradients to define continuous dynamics which explore the target distribution. We outline a solution strategy for…

机器学习 · 统计学 2016-12-09 Jost Tobias Springenberg , Aaron Klein , Stefan Falkner , Frank Hutter