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Related papers: Trial wave functions for High-Pressure Metallic Hy…

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We develop and test Quantum Monte Carlo algorithms which use a``twist'' or a phase in the wave function for fermions in periodic boundary conditions. For metallic systems, averaging over the twist results in faster convergence to the…

Statistical Mechanics · Physics 2009-02-06 C. Lin , F. -H. Zong , D. M. Ceperley

Here the recently proposed time-dependent quantum Monte Carlo method is applied to three dimensional para- and ortho-helium atoms subjected to an external electromagnetic field with amplitude sufficient to cause significant ionization. By…

Atomic Physics · Physics 2025-02-05 Ivan P. Christov

The Coulomb energy of a small metallic island coupled to an electrode by a tunnel junction is investigated. We employ Monte Carlo simulations to determine the effective charging energy for arbitrary tunneling strength. For small tunneling…

Condensed Matter · Physics 2009-10-30 Xiaohui Wang , Reinhold Egger , Hermann Grabert

Path integral Monte Carlo approach is used to study the coupled quantum dynamics of the electron and nuclei in hydrogen molecule ion. The coupling effects are demonstrated by comparing differences in adiabatic Born--Oppenheimer and…

Chemical Physics · Physics 2008-12-29 I. Kylänpää , M. Leino , T. T. Rantala

We have designed a Euler approximation Monte-Carlo code for the calculation of the ionization of atomic hydrogen by protons with energies between 0.05 and 1.0 MeV. This code is used to calculate the total ionization cross sections s(E), the…

Atomic Physics · Physics 2022-04-04 Seifeldin Dabbour , Skyler McMullen , F. Edward Cecil

The optimization of neural wave functions in variational Monte Carlo crucially relies on a robust convergence criterion. While the energy variance is theoretically a definitive measure, its practical application as a primary convergence…

Quantum Physics · Physics 2025-11-03 Huan-Chen Shi , Er-Liang Cui , Dan Zhou

We introduce a novel method that combines the accuracy of Quantum Monte Carlo simulations with ab-initio Molecular Dynamics, in the spirit of Car-Parrinello. This method is then used for investigating the structure of a two-dimensional…

Computational Physics · Physics 2017-05-16 Francesco Calcavecchia , Thomas D. Kühne , Markus Holzmann

We leverage the power of neural quantum states to describe the ground state wave function of solid and liquid atomic hydrogen, including both electronic and protonic degrees of freedom. For static protons, the resulting Born-Oppenheimer…

Strongly Correlated Electrons · Physics 2026-04-27 David Linteau , Saverio Moroni , Giuseppe Carleo , Markus Holzmann

Quantum Monte Carlo (QMC) methods such as variational Monte Carlo and fixed node diffusion Monte Carlo depend heavily on the quality of the trial wave function. Although Slater-Jastrow wave functions are the most commonly used variational…

Materials Science · Physics 2015-05-28 Bryan K. Clark , Miguel A. Morales , Jeremy McMinis , Jeongnim Kim , Gustavo E. Scuseria

Monte Carlo simulation code has been developed and tested for studying the passage of charged particle beams and radiation through the crystalline matter at energies from tens of MeV up to hundreds of GeV. The developed Monte Carlo code…

Computational Physics · Physics 2007-05-23 Armen Apyan

We present Coupled Electron-Ion Monte Carlo results for the principal Hugoniot of deuterium together with an accurate study of the initial reference state of shock wave experiments. We discuss the influence of nuclear quantum effects,…

Computational Physics · Physics 2020-10-28 Michele Ruggeri , Markus Holzmann , David M. Ceperley , Carlo Pierleoni

In a previous work [L.Delle Site, J.Phys.A 40, 2787 (2007)] the derivation of an analytic expression for the kinetic functional of a many-body electron system has been proposed. Though analytical, the formula is still non local…

Quantum Physics · Physics 2009-11-13 Luca M. Ghiringhelli , Luigi Delle Site

We present a study of the local structure of high pressure hydrogen around the liquid-liquid transition line based on results from the Coupled Electron-Ion Monte Carlo method. We report results for the Equation of State, for the radial…

Statistical Mechanics · Physics 2018-05-09 Carlo Pierleoni , Markus Holzmann , David M. Ceperley

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…

Quantum Physics · Physics 2015-06-11 Ioannis Brouzos , Fotios K. Diakonos , Peter Schmelcher

We describe a simple scheme to perform phonon calculations with quantum Monte Carlo (QMC) methods, and demonstrate it on metallic hydrogen. Because of the energy and length scales of metallic hydrogen, and the statistical noise inherent to…

Materials Science · Physics 2022-01-25 Kevin Ly , David Ceperley

We present simple and practical strategies to reduce the variance of Monte Carlo estimators. Our focus is on variational Monte Carlo calculations of atomic forces and pressure in electronic systems, although we show that the underlying…

Strongly Correlated Electrons · Physics 2026-03-17 David Linteau , Saverio Moroni , Giuseppe Carleo , Markus Holzmann

Restricted path integral Monte Carlo simulations are used to calculate the equilibrium properties of hydrogen in the density and temperature range of $9.83 \times 10^{-4}\rm \leq \rho \leq 0.153 \rm gcm^{-3}$ and $5000 \leq T \leq 250 000…

Plasma Physics · Physics 2009-11-07 B. Militzer , D. M. Ceperley

We use a reactive Monte Carlo simulation method and primitive model of electrolyte to study acid-base equilibrium that controls charge regulation in colloidal systems. The simulations are performed in a semi-grand canonical ensemble in…

Soft Condensed Matter · Physics 2021-12-21 Amin Bakhshandeh , Derek Frydel , Yan Levin

We present and motivate an efficient way to include orbital dependent many--body correlations in trial wave function of real--space Quantum Monte Carlo methods for use in electronic structure calculations. We apply our new…

Computational Physics · Physics 2019-10-17 Markus Holzmann , Saverio Moroni

We investigate the accuracy of trial wave function for quantum Monte Carlo based on pfaffian functional form with singlet and triplet pairing. Using a set of first row atoms and molecules we find that these wave functions provide very…

Other Condensed Matter · Physics 2009-02-20 M. Bajdich , L. Mitas , G. Drobný , L. K. Wagner , K. E. Schmidt