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相关论文: Neural network variational Monte Carlo for positro…

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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

The ground state electronic energy of benzene is the focus of a recent blind test by Eriksen and co-workers [arXiv:2008.02678]. In this note, we report the phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC) results on the identical…

化学物理 · 物理学 2020-09-23 Joonho Lee , Fionn D. Malone , David R. Reichman

Ab-initio Monte Carlo simulations of strongly-interacting fermionic systems are plagued by the fermion sign problem, making the non-perturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of…

高能物理 - 格点 · 物理学 2024-03-05 Debasish Banerjee , Emilie Huffman

A one-dimensional quantum wire of Fermions is considered and ground state properties are calculated in the high density regime within the extended quasiparticle picture and Born approximation. Expanding the two-particle Green functions…

强关联电子 · 物理学 2025-02-18 Klaus Morawetz , Vinod Ashokan , Kare Narain Pathak , Neil Drummond , Gianaurelio Cuniberti

In this work we study the recently developed parametrized partition function formulation and show how we can infer the thermodynamic properties of fermions based on numerical simulation of bosons and distinguishable particles at various…

量子气体 · 物理学 2023-06-07 Yunuo Xiong , Hongwei Xiong

Phase-field models have been widely used to investigate the phase transformation phenomena. However, it is difficult to solve the problems numerically due to their strong nonlinearities and higher-order terms. This work is devoted to…

数值分析 · 数学 2024-07-23 Gang Bao , Chang Ma , Yuxuan Gong

We study the stability of the fermionic quasiparticle in a fermion-boson model on a Bethe lattice, with fermions interacting with local bosons via a polaronic-type coupling. We solve the problem by mapping it onto a non-interacting chain…

强关联电子 · 物理学 2023-05-03 Piotr Wrzosek , Adam Kłosiński , Krzysztof Wohlfeld , Cliò Efthimia Agrapidis

The prediction of physicochemical properties from molecular structures is a crucial task for artificial intelligence aided molecular design. A growing number of Graph Neural Networks (GNNs) have been proposed to address this challenge.…

机器学习 · 计算机科学 2020-11-17 Shuo Zhang , Yang Liu , Lei Xie

Variational approaches are among the most powerful modern techniques to approximately solve quantum many-body problems. These encompass both variational states based on tensor or neural networks, and parameterized quantum circuits in…

强关联电子 · 物理学 2021-02-02 Kevin Zhang , Samuel Lederer , Kenny Choo , Titus Neupert , Giuseppe Carleo , Eun-Ah Kim

All-electron Fixed-node Diffusion Monte Carlo (FN-DMC) calculations for the nonrelativistic ground-state energy of the water molecule at equilibrium geometry are presented. The determinantal part of the trial wavefunction is obtained from a…

化学物理 · 物理学 2016-05-25 Michel Caffarel , Thomas Applencourt , Emmanuel Giner , Anthony Scemama

The restricted Boltzmann machine (RBM) has been successfully applied to solve the many-electron Schr$\ddot{\text{o}}$dinger equation. In this work we propose a single-layer fully connected neural network adapted from RBM and apply it to…

量子物理 · 物理学 2023-01-11 Yangjun Wu , Xiansong Xu , Dario Poletti , Yi Fan , Chu Guo , Honghui Shang

A microscopic formulation of the interacting boson-fermion model for odd-$A$ nuclei is made using the nuclear energy density functional framework. Strength parameters for the bosonic Hamiltonian and boson-fermion interactions are shown to…

核理论 · 物理学 2025-09-22 M. Homma , K. Nomura

The emergence of machine learning methods in quantum chemistry provides new methods to revisit an old problem: Can the predictive accuracy of electronic structure calculations be decoupled from their numerical bottlenecks? Previous attempts…

计算物理 · 物理学 2020-08-26 M. Gastegger , A. McSloy , M. Luya , K. T. Schütt , R. J. Maurer

Representing fermionic wavefunctions efficiently is a central problem in quantum physics, chemistry and materials science. In this work, we introduce a universal and exact representation of continuous antisymmetric functions by lifting them…

强关联电子 · 物理学 2025-10-14 Liang Fu

Physics-informed neural networks (PINNs) are capable of finding the solution for a given boundary value problem. We employ several ideas from the finite element method (FEM) to enhance the performance of existing PINNs in engineering…

计算工程、金融与科学 · 计算机科学 2022-10-05 Shahed Rezaei , Ali Harandi , Ahmad Moeineddin , Bai-Xiang Xu , Stefanie Reese

Non-Hermitian (NH) quantum systems have emerged as a powerful framework for describing open quantum systems, non-equilibrium dynamics, and engineered quantum optical materials. However, solving the ground-state properties of NH systems is…

量子物理 · 物理学 2025-12-17 Lavoisier Wah , Remmy Zen , Flore K. Kunst

Many-electron problems pose some of the greatest challenges in computational science, with important applications across many fields of modern science. Fermionic quantum Monte Carlo (QMC) methods are among the most powerful approaches to…

We investigate the ground state properties of quantum skyrmions in a ferromagnet using variational Monte Carlo with the neural network quantum state as variational ansatz. We study the ground states of a two-dimensional quantum Heisenberg…

介观与纳米尺度物理 · 物理学 2023-09-21 Ashish Joshi , Robert Peters , Thore Posske

A fermion ground state energy functional is set up in terms of particle density, relative pair density, and kinetic energy tensor density. It satisfies a minimum principle if constrained by a complete set of compatibility conditions. A…

化学物理 · 物理学 2009-10-17 Bin Liu , Jerome K. Percus

Molecular geometry prediction of flexible molecules, or conformer search, is a long-standing challenge in computational chemistry. This task is of great importance for predicting structure-activity relationships for a wide variety of…

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