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We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length…

凝聚态物理 · 物理学 2009-10-22 A. P. Gottlob , M. Hasenbusch

Magnetic thin films and 2D arrays of magnetic nanoparticles exhibit unique physical properties that make them valuable for a wide range of technological applications. In such systems, dipolar interactions play a crucial role in determining…

统计力学 · 物理学 2025-08-15 S. Ismailzadeh , M. D. Niry

In lattice quantum field theory studies, parameters defining the lattice theory must be tuned toward criticality to access continuum physics. Commonly used Markov chain Monte Carlo (MCMC) methods suffer from critical slowing down in this…

高能物理 - 格点 · 物理学 2021-06-04 Gurtej Kanwar

We propose a Monte Carlo method, which is a hybrid method of the quantum Monte Carlo method and variational Monte Carlo theory, to study the Hubbard model. The theory is based on the off-diagonal and the Gutzwiller type correlation factors…

强关联电子 · 物理学 2015-06-24 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

We report current progress on the synthesis of methods to alleviate two major difficulties in implementing a Monte Carlo Renormalization Group (MCRG) for quantum systems. In particular, we have utilized the loop-algorithm to reduce critical…

凝聚态物理 · 物理学 2016-11-03 M. Novotny , H. G. Evertz

We describe a Monte Carlo simulation study of the magnetic phase diagram of diluted magnetic semiconductors doped with shallow impurities in the low concentration regime. We show that because of a wide distribution of interaction strengths,…

无序系统与神经网络 · 物理学 2015-06-25 R. N. Bhatt , Xin Wan

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte…

统计力学 · 物理学 2009-10-30 A. L. Ferreira , W. Korneta

In recent years efficient algorithms have been developed for the numerical computation of relativistic single-particle path integrals in quantum field theory. Here, we adapt this "worldline Monte Carlo" approach to the standard problem of…

Sampling all possible transition paths between two 3D states of a molecular system has various applications ranging from catalyst design to drug discovery. Current approaches to sample transition paths use Markov chain Monte Carlo and rely…

定量方法 · 定量生物学 2024-05-29 Michael Plainer , Hannes Stärk , Charlotte Bunne , Stephan Günnemann

By means of lattice-based Monte Carlo simulations, we address properties of two-component lipid membranes on the experimentally relevant spatial scales of order of a micrometer and time intervals of order of a second, using DMPC/DSPC lipid…

生物物理 · 物理学 2018-12-26 Jens Ehrig , Eugene P. Petrov , Petra Schwille

Various types of superfluid-insulator transitions are investigated for two-component lattice boson systems in two dimensions with on-site hard-core repulsion and the component-dependent intersite interaction. The mean-field phase diagram is…

凝聚态物理 · 物理学 2007-05-23 Yukitoshi Motome , Masatoshi Imada

We investigate the behavior of the moments of the partially transposed reduced density matrix \rho^{T_2}_A in critical quantum spin chains. Given subsystem A as union of two blocks, this is the (matrix) transposed of \rho_A with respect to…

统计力学 · 物理学 2013-06-17 Vincenzo Alba

In experimentally realistic situations, quantum systems are never perfectly isolated and the coupling to their environment needs to be taken into account. Often, the effect of the environment can be well approximated by a Markovian master…

量子物理 · 物理学 2019-07-03 Michael J. Hartmann , Giuseppe Carleo

The behaviour of the one--dimensional random--forced Burgers equation is investigated in the path integral formalism, using a discrete space--time lattice. We show that by means of Monte Carlo methods one may evaluate observables, such as…

高能物理 - 格点 · 物理学 2009-01-14 P. Düben , D. Homeier , K. Jansen , D. Mesterhazy , G. Münster , C. Urbach

We introduce efficient Markov chain Monte Carlo methods for inference and model determination in multivariate and matrix-variate Gaussian graphical models. Our framework is based on the G-Wishart prior for the precision matrix associated…

统计方法学 · 统计学 2010-05-25 Adrian Dobra , Alex Lenkoski , Abel Rodriguez

In this paper we develop a direct simulation Monte Carlo (DSMC) method for simulating highly nonequilibrium dynamics of nearly degenerate ultra-cold gases. We show that our method can simulate the high-energy collision of two thermal clouds…

量子气体 · 物理学 2012-10-16 A. C. J. Wade , D. Baillie , P. B. Blakie

Gaussian Quantum Monte Carlo (GQMC) is a stochastic phase space method for fermions with positive weights. In the example of the Hubbard model close to half filling it fails to reproduce all the symmetries of the ground state leading to…

强关联电子 · 物理学 2008-03-04 P. Corboz , A. Kleine , F. F. Assaad , I. P. McCulloch , U. Schollwöck , M. Troyer

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

统计力学 · 物理学 2009-11-07 A. van de Walle , M. Asta

We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole…

统计力学 · 物理学 2009-11-10 Chiaki Yamaguchi , Naoki Kawashima , Yutaka Okabe

We apply the generalized Wigner function formalism to detect and characterize a range of quantum phase transitions in several cyclic, finite-length, spin-$\frac{1}{2}$ one-dimensional spin-chain models, viz., the Ising and anisotropic $XY$…

量子物理 · 物理学 2023-10-03 N. M. Millen , R. P. Rundle , J. H. Samson , Todd Tilma , R. F. Bishop , M. J. Everitt
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