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Related papers: Strong coupling expansion Monte Carlo

200 papers

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

Quantum Gases · Physics 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

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,…

High Energy Physics - Lattice · Physics 2022-12-23 Pratitee Pattanaik , Wolfgang Unger

We test a recent proposal to use approximate trivializing maps in a field theory to speed up Hybrid Monte Carlo simulations. Simulating the CP^{N-1} model, we find a small improvement with the leading order transformation, which is however…

High Energy Physics - Lattice · Physics 2015-03-18 Georg P. Engel , Stefan Schaefer

We present the ground state extension of the efficient quantum Monte Carlo algorithm for lattice fermions of arXiv:1411.0683. Based on continuous-time expansion of imaginary-time projection operator, the algorithm is free of systematic…

Strongly Correlated Electrons · Physics 2015-07-02 Lei Wang , Mauro Iazzi , Philippe Corboz , Matthias Troyer

We develop a stochastic whole-brain and body simulator of the nematode roundworm Caenorhabditis elegans (C. elegans) and show that it is sufficiently regularizing to allow imputation of latent membrane potentials from partial calcium…

Neurons and Cognition · Quantitative Biology 2019-07-26 Andrew Warrington , Arthur Spencer , Frank Wood

Recently developed neural network-based \emph{ab-initio} solutions (Pfau et. al arxiv:1909.02487v2) for finding ground states of fermionic systems can generate state-of-the-art results on a broad class of systems. In this work, we improve…

Chemical Physics · Physics 2021-03-26 Max Wilson , Nicholas Gao , Filip Wudarski , Eleanor Rieffel , Norm M. Tubman

The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. In contrast, the numerical exploration in interacting fermion…

Statistical Mechanics · Physics 2025-05-15 Weilun Jiang , Gaopei Pan , Zhe Wang , Bin-Bin Mao , Heng Shen , Zheng Yan

Wave-function Monte Carlo methods are an important tool for simulating quantum systems, but the standard method cannot be used to simulate decoherence in continuously measured systems. Here we present a new Monte Carlo method for such…

Quantum Physics · Physics 2013-05-29 Kurt Jacobs

We present a Markov-chain Monte Carlo algorithm of "worm"type that correctly simulates the O(n) loop model on any (finite and connected) bipartite cubic graph, for any real n>0, and any edge weight, including the fully-packed limit of…

Statistical Mechanics · Physics 2011-07-28 Qingquan Liu , Youjin Deng , Timothy M. Garoni

We consider a new formulation of the stochastic coupled cluster method in terms of the similarity transformed Hamiltonian. We show that improvement in the granularity with which the wavefunction is represented results in a reduction in the…

Chemical Physics · Physics 2016-02-02 Ruth S. T. Franklin , James S. Spencer , Alberto Zoccante , Alex J. W. Thom

As a prerequisite to dynamical fermion simulations a detailed study of optimal parameters and scaling behavior is conducted for the quenched Schr\"odinger functional at fixed renormalized coupling. We compare standard hybrid overrelaxation…

High Energy Physics - Lattice · Physics 2015-06-25 Bernd Gehrmann , Ulli Wolff

In this second paper of a two part series, we present extensive benchmark results for two different inchworm Monte Carlo expansions for the spin-boson model. Our results are compared to previously developed numerically exact approaches for…

Chemical Physics · Physics 2017-02-10 Hsing-Ta Chen , Guy Cohen , David R. Reichman

We apply the Hybrid Monte Carlo method to the simulation of overlap fermions. We give the fermionic force for the molecular dynamics update. We present early results on a small dynamical chiral ensemble.

High Energy Physics - Lattice · Physics 2009-11-10 N. Cundy , S. Krieg , A. Frommer , Th. Lippert , K. Schilling

We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and…

Numerical Analysis · Mathematics 2022-07-27 A. Kalinov , A. I. Osinsky , S. A. Matveev , W. Otieno , N. V. Brilliantov

The paper proposes a new Monte-Carlo simulator combining the advantages of Sequential Monte Carlo simulators and Hamiltonian Monte Carlo simulators. The result is a method that is robust to multimodality and complex shapes to use for…

Computation · Statistics 2018-12-20 Remi Daviet

Microscopic models of classical degrees of freedom coupled to non-interacting fermions occur in many different contexts. Prominent examples from solid state physics are descriptions of colossal magnetoresistance manganites and diluted…

Statistical Mechanics · Physics 2009-06-16 Alexander Weiße

We present a systematic comparison of the most recent thermodynamic measurements of a trapped Fermi gas at unitarity with predictions from strong coupling theories and quantum Monte Carlo (MC) simulations. The accuracy of the experimental…

Statistical Mechanics · Physics 2008-07-09 Hui Hu , Xia-Ji Liu , Peter D. Drummond

Recently a new class of Monte Carlo methods, called Time Relaxed Monte Carlo (TRMC), designed for the simulation of the Boltzmann equation close to fluid regimes have been introduced. A generalized Wild sum expansion of the solution is at…

Numerical Analysis · Mathematics 2010-09-16 L. Pareschi , S. Trazzi , B. Wennberg

The generic Mott transition in one-dimensional quantum systems can be described by the sine-Gordon model with a tilt via bosonization. Because the configuration space of the sine-Gordon model separates into distinct topological sectors,…

Strongly Correlated Electrons · Physics 2026-02-16 Oscar Bouverot-Dupuis , Laura Foini , Alberto Rosso

The strong coupling expansion for staggered fermions allows for Monte Carlo simulations using a dual representation. It has a mild sign problem for low values of the inverse gauge coupling $\beta$, hence the phase diagram in the full $\mu_B…

High Energy Physics - Lattice · Physics 2025-02-11 Jangho Kim , Pratitee Pattanaik , Wolfgang Unger