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These lectures given to graduate students in high energy physics, provide an introduction to Monte Carlo methods. After an overview of classical numerical quadrature rules, Monte Carlo integration together with variance-reducing techniques…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Weinzierl

The limitations of the recently proposed new method of numerical modelling of Bose-Einstein correlations (BEC) are explicitly demonstrated. It is then argued that BEC should still be considered as emerging from the correlations of…

High Energy Physics - Phenomenology · Physics 2017-08-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

The electroweak production processes of vector bosons, $e^+ e^- \rightarrow Z \gamma$, $\gamma e \rightarrow Ze$, and $\gamma e \rightarrow W \nu$ are considered simultaneousely and in the Standard model the covariant polarization density…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. S. Shim , S. W. Baek , H. S. Song

In this proceedings I discuss the general strategy and impact of tuning Monte-Carlo event generators for physics processes involving top quarks. Special emphasis is put on disinguishing the different usages of event generators in the…

High Energy Physics - Phenomenology · Physics 2019-01-16 Marek Schönherr

The atomic cluster expansion (ACE) (Drautz, 2019) yields a highly efficient and intepretable parameterisation of symmetric polynomials that has achieved great success in modelling properties of many-particle systems. In the present work we…

Computational Physics · Physics 2023-05-05 Dexuan Zhou , Huajie Chen , Cheuk Hin Ho , Christoph Ortner

We investigate the phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas at zero temperature with disorder. By using the Diffusion Monte-Carlo method we calculate the superfluid and the condensate fraction of the system…

Condensed Matter · Physics 2009-11-07 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

We propose and benchmark a Gross-Pitaevskii-like equation for two-component Bose mixtures with competing interactions in 1D. Our approach follows the density-functional theory with the energy functional based on the exact Quantum Monte…

Quantum Gases · Physics 2023-04-26 Jakub Kopyciński , Luca Parisi , Nick G. Parker , Krzysztof Pawłowski

We apply the positive-weight Monte Carlo method of Nason for simulating QCD processes accurate to Next-To-Leading Order to the case of e+e- annihilation to hadrons. The method entails the generation of the hardest gluon emission first and…

High Energy Physics - Phenomenology · Physics 2010-10-27 Oluseyi Latunde-Dada , Stefan Gieseke , Bryan Webber

The Monte Carlo (MC) setups used by ATLAS to model boson$+\mathrm{jets}$ and multi-boson processes at $\sqrt{s}$ = 13 TeV in proton-proton collisions are described. Comparisons between data and several event generators are provided for key…

High Energy Physics - Experiment · Physics 2017-09-05 Francesco Giuli

This paper presents an in-depth mathematical analysis of the Monte Carlo replica method, commonly used in global fitting studies within the high-energy physics theory field. For the first time, we offer a rigorous derivation of the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Mark N. Costantini

We present a consensus Monte Carlo algorithm that scales existing Bayesian nonparametric models for clustering and feature allocation to big data. The algorithm is valid for any prior on random subsets such as partitions and latent feature…

Computation · Statistics 2020-02-26 Yang Ni , Yuan Ji , Peter Mueller

Quantum computation using qubits made of two component Bose-Einstein condensates (BECs) is analysed. The use of BECs allows for an increase of energy scales via bosonic enhancement, resulting in gate operations that can be performed at a…

Quantum Physics · Physics 2012-04-27 Tim Byrnes , Kai Wen , Yoshihisa Yamamoto

A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. The use of clusters makes possible global updates and leads to a gain in speed of several orders of magnitude. As an example, we study the 2-dimensional +/-J…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. Houdayer

The stochastic-gauge representation is a method of mapping the equation of motion for the quantum mechanical density operator onto a set of equivalent stochastic differential equations. One of the stochastic variables is termed the…

Quantum Physics · Physics 2010-11-02 Mark R. Dowling , Matthew J. Davis , Peter D. Drummond , Joel F. Corney

Boltzmann sampling is commonly used to uniformly sample objects of a particular size from large combinatorial sets. For this technique to be effective, one needs to prove that (1) the sampling procedure is efficient and (2) objects of the…

Data Structures and Algorithms · Computer Science 2023-04-11 Megan Bernstein , Matthew Fahrbach , Dana Randall

In this work we develop tools that enable the study of non-adiabatic effects with variational and diffusion Monte Carlo methods. We introduce a highly accurate wave function ansatz for electron-ion systems that can involve a combination of…

Chemical Physics · Physics 2014-10-29 Norm M. Tubman , Ilkka Kylänpää , Sharon Hammes-Schiffer , David M. Ceperley

We have proposed a cluster heat bath method in Monte Carlo simulations of Ising models in which one of the possible spin configurations of a cluster is selected in accordance with its Boltzmann weight. We have argued that the method…

Condensed Matter · Physics 2009-10-30 F. Matsubara , A. Sato , O. Koseki , T. Shirakura

A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short- or long-range interactions is presented. The algorithm is based on sampling the diagonal matrix elements of the power series expansion of the density…

Statistical Mechanics · Physics 2007-05-23 Anders W. Sandvik

Based on the worm algorithm in the path-integral representation, we propose a general quantum Monte Carlo algorithm suitable for parallelizing on a distributed-memory computer by domain decomposition. Of particular importance is its…

Statistical Mechanics · Physics 2014-04-14 Akiko Masaki-Kato , Takafumi Suzuki , Kenji Harada , Synge Todo , Naoki Kawashima

The phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas with disorder is investigated. Diffusion Monte Carlo (DMC) method is used to calculate superfluid and condensate fraction of the system as a function of density…

Quantum Gases · Physics 2014-12-16 G. E. Astrakharchik
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