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Clusters of sizes ranging from two to five are studied by variational quantum Monte Carlo techniques. The clusters consist of Ar, Ne and hypothetical lighter (``$1 \over 2$-Ne") atoms. A general form of trial function is developed for which…

chem-ph · 物理学 2009-10-22 Andrei Mushinski , M. P. Nightingale

Variational Monte Carlo calculations have recently reached state-of-the-art accuracy in the approximation of ground state properties of quantum many-body systems. Making use of flexible neural quantum states and automatic differentiation…

量子物理 · 物理学 2026-05-11 Anton Hul , Matija Medvidović , Juan Carrasquilla

We introduce time-dependent variational Monte Carlo for continuous-space Bose gases. Our approach is based on the systematic expansion of the many-body wave-function in terms of multi-body correlations and is essentially exact up to…

量子气体 · 物理学 2017-08-16 Giuseppe Carleo , Lorenzo Cevolani , Laurent Sanchez-Palencia , Markus Holzmann

Artificial neural networks have been successfully incorporated into variational Monte Carlo method (VMC) to study quantum many-body systems. However, there have been few systematic studies of exploring quantum many-body physics using deep…

强关联电子 · 物理学 2020-02-26 Li Yang , Zhaoqi Leng , Guangyuan Yu , Ankit Patel , Wen-Jun Hu , Han Pu

Diffusion Monte Carlo (DMC) based on fixed-node approximation has enjoyed significant developments in the past decades and become one of the go-to methods when accurate ground state energy of molecules and materials is needed. The remaining…

化学物理 · 物理学 2023-08-07 Weiluo Ren , Weizhong Fu , Xiaojie Wu , Ji Chen

In this note, variational Monte Carlo method based on neural quantum states for spin systems is reviewed. Using a neural network as the wave function allows for a more generalized expression of various types of interactions, including…

强关联电子 · 物理学 2024-06-04 Yuntai Song

Artificial neural networks have been recently introduced as a general ansatz to compactly represent many- body wave functions. In conjunction with Variational Monte Carlo, this ansatz has been applied to find Hamil- tonian ground states and…

强关联电子 · 物理学 2018-10-24 Kenny Choo , Giuseppe Carleo , Nicolas Regnault , Titus Neupert

Monte Carlo methods are widely used importance sampling techniques for studying complex physical systems. Integrating these methods with deep learning has significantly improved efficiency and accuracy in high-dimensional problems and…

无序系统与神经网络 · 物理学 2024-12-24 Yixiong Ren , Jianhui Zhou

Monte Carlo methods are widely used in particle physics to integrate and sample probability distributions (differential cross sections or decay rates) on multi-dimensional phase spaces. We present a Neural Network (NN) algorithm optimized…

高能物理 - 唯象学 · 物理学 2020-10-21 Matthew D. Klimek , Maxim Perelstein

We introduce a variational Monte Carlo algorithm for approximating finite-temperature quantum many-body systems, based on the minimization of a modified free energy. This approach directly approximates the state at a fixed temperature,…

量子物理 · 物理学 2025-02-18 Sirui Lu , Giacomo Giudice , J. Ignacio Cirac

Variational ab-initio methods in quantum chemistry stand out among other methods in providing direct access to the wave function. This allows in principle straightforward extraction of any other observable of interest, besides the energy,…

The ground state of solid $^4$He is studied using the diffusion Monte Carlo method and a new trial wave function able to describe the supersolid. The new wave function is symmetric under the exchange of particles and reproduces the…

其他凝聚态物理 · 物理学 2009-11-13 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat

The path integral Monte Carlo method is used to simulate dilute trapped Bose gases and to investigate the equilibrium properties at finite temperatures. The quantum particles have a long-range dipole-dipole interaction and a short-range…

统计力学 · 物理学 2009-11-11 Kwangsik Nho , D. P. Landau

We study the crossover of a finite one-dimensional (1D) bosonic ensemble from weak to strong interactions in harmonic traps and multi-well potentials. Although these systems are very common in experimental setups and have been studied…

量子物理 · 物理学 2015-06-11 Ioannis Brouzos , Fotios K. Diakonos , Peter Schmelcher

The simulation of quantum many-body systems poses a significant challenge in physics due to the exponential scaling of Hilbert space with the number of particles. Traditional methods often struggle with large system sizes and frustrated…

材料科学 · 物理学 2024-05-27 Avishek Singh , Nirmal Ganguli

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…

化学物理 · 物理学 2014-10-29 Norm M. Tubman , Ilkka Kylänpää , Sharon Hammes-Schiffer , David M. Ceperley

Several properties of trapped hard sphere bosons are evaluated using variational Monte Carlo techniques. A trial wave function composed of a renormalized single particle Gaussian and a hard sphere Jastrow function for pair correlations is…

凝聚态物理 · 物理学 2014-09-11 J. L. DuBois , H. R. Glyde

The possibility to simulate the properties of many-body open quantum systems with a large number of degrees of freedom is the premise to the solution of several outstanding problems in quantum science and quantum information. The challenge…

量子物理 · 物理学 2019-07-03 Alexandra Nagy , Vincenzo Savona

The complexity of many-body quantum wave functions is a central aspect of several fields of physics and chemistry where non-perturbative interactions are prominent. Artificial neural networks (ANNs) have proven to be a flexible tool to…

核理论 · 物理学 2021-07-14 Corey Adams , Giuseppe Carleo , Alessandro Lovato , Noemi Rocco

We describe a network clustering framework, based on finite mixture models, that can be applied to discrete-valued networks with hundreds of thousands of nodes and billions of edge variables. Relative to other recent model-based clustering…

统计计算 · 统计学 2020-03-13 Duy Q. Vu , David R. Hunter , Michael Schweinberger
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