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We propose a method for Monte Carlo simulation of statistical physical models with discretized energy. The method is based on several ideas including the cluster algorithm, the multicanonical Monte Carlo method and its acceleration proposed…

Statistical Mechanics · Physics 2009-11-07 Chiaki Yamaguchi , Naoki Kawashima

Neural network parametrizations have increasingly been used to represent the ground and excited states in variational Monte Carlo (VMC) with promising results. However, traditional VMC methods only optimize the wave function in regions of…

Computational Physics · Physics 2025-07-03 Huan Zhang , Robert J. Webber , Michael Lindsey , Timothy C. Berkelbach , Jonathan Weare

Relying on Feynman-Kac path-integral methodology, we present a new statistical perspective on wave single-scattering by complex three-dimensional objects. The approach is implemented on three models -- Schiff approximation, Born…

The relativistic coupled-cluster single-double method is used to calculate the dependence of frequencies of strong $E1$-transitions in many monovalent atoms and ions on the fine-structure constant $\alpha$. These transitions are used in the…

Atomic Physics · Physics 2009-11-13 V. A. Dzuba , W. R. Johnson

A rich literature has been produced on the quantum states of atoms and molecules confined into infinite potential wells with a specified symmetry. Apart from their interest as basic quantum systems, confined atoms and molecules are useful…

Chemical Physics · Physics 2019-04-03 Savino Longo , Gaia Micca Longo , Domenico Giordano

A method for making realistic estimates of the density of levels in even-even nuclei is presented making use of the Monte Carlo shell model (MCSM). The procedure follows three basic steps: (1) computation of the thermal energy with the…

Nuclear Theory · Physics 2009-10-30 W. E. Ormand

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

Methodology · Statistics 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

Markov chain Monte Carlo (MCMC) methods require a large number of samples to approximate a posterior distribution, which can be costly when the likelihood or prior is expensive to evaluate. The number of samples can be reduced if we can…

Computation · Statistics 2019-08-06 V. Roshan Joseph , Dianpeng Wang , Li Gu , Shiji Lv , Rui Tuo

Monte Carlo methods are widely used to estimate observables in many-body quantum systems. However, conventional sampling schemes often require a large number of samples to achieve sufficient accuracy. In this work we propose the…

Quantum Physics · Physics 2026-01-29 Wenxuan Zhang , Dingzu Wang , Dario Poletti

We propose a multilevel Monte-Carlo scheme, applicable to local actions, which is expected to reduce statistical errors on correlation functions. We give general arguments to show how the efficiency and parameters of the algorithm are…

High Energy Physics - Lattice · Physics 2010-02-03 Harvey B. Meyer

We present a method to generate realistic, three-dimensional networks of crosslinked semiflexible polymers. The free energy of these networks is obtained from the force-extension characteristics of the individual polymers and their…

Soft Condensed Matter · Physics 2009-11-13 E. M. Huisman , C. Storm , G. T. Barkema

We formulate both Markov chain Monte Carlo (MCMC) sampling algorithms and basic statistical physics in terms of elementary symmetries. This perspective on sampling yields derivations of well-known MCMC algorithms and a new parallel…

Statistical Mechanics · Physics 2021-06-30 Steve Huntsman

The Diffusion Monte Carlo method is devoted to the computation of electronic ground-state energies of molecules. In this paper, we focus on implementations of this method which consist in exploring the configuration space with a {\bf fixed}…

Numerical Analysis · Mathematics 2007-05-23 Tony Lelievre , Mohamed El Makrini , Benjamin Jourdain

We show that recently developed quantum Monte Carlo methods, which provide accurate vertical transition energies for single excitations, also successfully treat double excitations. We study the double excitations in medium-sized molecules,…

Parameter estimation for discretely observed Markov processes is a challenging problem. However, simulation of Markov processes is straightforward using the Gillespie algorithm. We exploit this ease of simulation to develop an effective…

Computation · Statistics 2014-04-17 Peter Neal

In a recent study we have reported a new type of trial wave function symmetric under the exchange of particles and which is able to describe a supersolid phase. In this work, we use the diffusion Monte Carlo method and this model wave…

Other Condensed Matter · Physics 2015-05-28 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat

The Markov chain Monte Carlo (MCMC) method is used to evaluate the imaginary-time path integral of a quantum oscillator with a potential that includes both a quadratic term and a quartic term whose coupling is varied by several orders of…

Computational Physics · Physics 2020-08-27 Shikhar Mittal , Marise J. E. Westbroek , Peter R. King , Dimitri D. Vvedensky

In recent years the Swap Monte Carlo algorithm has led to remarkable progress in equilibrating supercooled model liquids at low temperatures. Applications have so far been limited to systems composed of spherical particles, however, whereas…

Soft Condensed Matter · Physics 2025-09-05 Till Böhmer , Jeppe C. Dyre , Lorenzo Costigliola

We simulated the 3-band Hubbard model using the Constrained Path Monte Carlo (CPMC) method in search for a possible superconducting ground state. The CPMC is a ground state method which is free of the exponential scaling of computing time…

Superconductivity · Physics 2016-08-31 M. Guerrero , J. E. Gubernatis , Shiwei Zhang

In this talk, we briefly comment on Sweeny and Gliozzi methods, cluster Monte Carlo method, and recent transition matrix Monte Carlo for Potts models. We mostly concentrate on a new algorithm known as "binary tree summation". Some of the…

Statistical Mechanics · Physics 2009-11-07 Jian-Sheng Wang
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