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We introduce an efficient approach to implement correlated many-body trial wave functions in auxiliary-field quantum Monte Carlo (AFQMC). To control the sign/phase problem in AFQMC, a constraint is derived from an exact gauge condition but…

Strongly Correlated Electrons · Physics 2025-10-27 Zhi-Yu Xiao , Zixiang Lu , Yixiao Chen , Tao Xiang , Shiwei Zhang

Herein, we report accurate atomization energy calculations for 55 molecules in the Gaussian-2 (G2) set using lattice regularized diffusion Monte Carlo (LRDMC). We compare the Jastrow-Slater determinant ansatz with a more flexible JsAGPs…

Chemical Physics · Physics 2023-04-19 Abhishek Raghav , Ryo Maezono , Kenta Hongo , Sandro Sorella , Kousuke Nakano

Although the linear method is one of the most robust algorithms for optimizing non-linearly parametrized wavefunctions in variational Monte Carlo, it suffers from a memory bottleneck due to the fact at each optimization step a generalized…

Strongly Correlated Electrons · Physics 2020-01-29 Iliya Sabzevari , Ankit Mahajan , Sandeep Sharma

Atomic properties of $n=3$ states of the W$^{56+}$ $-$ W$^{61+}$ ions are systematically investigated through two state-of-the-art methods, namely, the second-order many-body perturbation theory, and the multi-configuration…

Atomic Physics · Physics 2021-04-28 Chun Yu Zhang , Kai Wang , Ran Si , Michel Godefroid , Per Jönsson , Jun Xiao , Ming Feng Gu , Chong Yang Chen

We review time-dependent multiconfiguration self-consistent-field (TD-MCSCF) method and time-dependent optimized coupled-cluster (TD-OCC) method for first-principles simulations of high-field phenomena such as tunneling ionization and…

Chemical Physics · Physics 2022-11-21 Takeshi Sato , Himadri Pathak , Yuki Orimo , Kenichi L. Ishikawa

A quantum Monte Carlo method is presented for determining multi-determinantal Jastrow-Slater wave functions for which the energy is stationary with respect to the simultaneous optimization of orbitals and configuration interaction…

Other Condensed Matter · Physics 2009-11-10 Friedemann Schautz , Claudia Filippi

TC++ is a free/libre open-source software of the transcorrelated (TC) method for first-principles calculation of solids. Here, the TC method is one of the promising wave-function theories that can be applied to periodic systems with…

Materials Science · Physics 2023-04-19 Masayuki Ochi

We are proposing a new computational thermochemistry protocol denoted W3 theory, as a successor to W1 and W2 theory proposed earlier [Martin and De Oliveira, J. Chem. Phys. 111, 1843 (1999)]. The new method is both more accurate overall…

Chemical Physics · Physics 2007-05-23 A. Daniel Boese , Mikhal Oren , Onur Atasoylu , Jan M. L. Martin , Mihaly Kallay , Juergen Gauss

Multicomponent methods seek to treat select nuclei, typically protons, fully quantum mechanically and equivalent to the electrons of a chemical system. In such methods, it is well known that due to the neglect of electron-proton…

Chemical Physics · Physics 2020-12-21 O. Jonathan Fajen , Kurt R. Brorsen

Transition metal ions play crucial roles in the structure and function of numerous proteins, contributing to essential biological processes such as catalysis, electron transfer, and oxygen binding. However, accurately modeling the…

Chemical Physics · Physics 2024-05-21 Frederik K. Jørgensen , Mickaël G. Delcey , Erik D. Hedegård

We present a modification to variational Monte Carlo's linear method optimization scheme that addresses a critical memory bottleneck while maintaining compatibility with both the traditional ground state variational principle and our…

Strongly Correlated Electrons · Physics 2017-02-07 Luning Zhao , Eric Neuscamman

Multireference systems are usually challenging to investigate using ab initio methods as they require an accurate description of static electron correlation. The urgency of developing similar approaches is even more pressing when molecules…

Chemical Physics · Physics 2025-06-11 Riccardo Alessandro , Matteo Castagnola , Henrik Koch , Enrico Ronca

The potential energy curve of the F$_2$ molecule is calculated with Fixed-Node Diffusion Monte Carlo (FN-DMC) using Configuration Interaction (CI)-type trial wavefunctions. To keep the number of determinants reasonable (the first and second…

Chemical Physics · Physics 2016-07-25 Emmanuel Giner , Anthony Scemama , Michel Caffarel

This paper is concerned with the problem of how to speed up computation for Gaussian process models trained on autocorrelated data. The Gaussian process model is a powerful tool commonly used in nonlinear regression applications. Standard…

Machine Learning · Computer Science 2025-12-03 Ahmadreza Chokhachian , Matthias Katzfuss , Yu Ding

Because of their multimodality, mixture posterior distributions are difficult to sample with standard Markov chain Monte Carlo (MCMC) methods. We propose a strategy to enhance the sampling of MCMC in this context, using a biasing procedure…

Computation · Statistics 2011-04-19 Nicolas Chopin , Tony Lelievre , Gabriel Stoltz

In this paper we study energy efficient joint power allocation and beamforming for coordinated multicell multiuser downlink systems. The considered optimization problem is in a non-convex fractional form and hard to tackle. We propose to…

Information Theory · Computer Science 2013-10-09 He Shiwen , Huang Yongming , Jin Shi , Yang Luxi

Most applications of Bayesian Inference for parameter estimation and model selection in astrophysics involve the use of Monte Carlo techniques such as Markov Chain Monte Carlo (MCMC) and nested sampling. However, these techniques are time…

Instrumentation and Methods for Astrophysics · Physics 2022-01-26 Geetakrishnasai Gunapati , Anirudh Jain , P. K. Srijith , Shantanu Desai

Theoretical studies of photochemical processes require a description of the energy surfaces of excited electronic states, especially near degeneracies, where transitions between states are most likely. Systems relevant to photochemical…

A method is introduced to optimize excited state trial wave functions. The method is applied to ground and vibrationally excited states of bosonic van der Waals clusters of upto seven particles. Employing optimized trial wavefunctions with…

Chemical Physics · Physics 2007-05-23 M. P. Nightingale , Vilen Melik-Alaverdian

In this paper, we introduce methods from convex optimization to solve the multimarginal transport type problems arise in the context of density functional theory. Convex relaxations are used to provide outer approximation to the set of…

Optimization and Control · Mathematics 2018-08-15 Yuehaw Khoo , Lexing Ying