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The \emph{ab initio} path integral Monte Carlo (PIMC) approach is one of the most successful methods in quantum many-body theory. A particular strength of this method is its straightforward access to imaginary-time correlation functions…

Statistical Mechanics · Physics 2021-08-25 Tobias Dornheim , Zhandos A. Moldabekov , Jan Vorberger

We present extensive \emph{ab initio} path integral Monte Carlo (PIMC) results for the dynamic properties of the finite temperature uniform electron gas (UEG) over a broad range of densities, $2\leq r_s\leq300$. We demonstrate that the…

Ultracold atomic systems have been of great research interest in the past, with more recent attention being paid to systems of mixed species. In this work we carry out non-perturbative Path Integral Monte Carlo (PIMC) simulations of N…

Quantum Gases · Physics 2017-10-19 William G. Dawkins , Alexandros Gezerlis

We explore the recently introduced $\eta$-ensemble approach to compute the free energy directly from \emph{ab initio} path integral Monte Carlo (PIMC) simulations [T.~Dornheim \emph{et al.}, arXiv:2407.01044] and apply it to the archetypal…

Chemical Physics · Physics 2024-12-19 Tobias Dornheim , Panagiotis Tolias , Zhandos Moldabekov , Jan Vorberger

Recently a number of theoretical studies of the uniform electron gas (UEG) at finite temperature have appeared that are of relevance for dense plasmas, warm dense matter and laser excited solids and thermodynamic density functional theory…

Quantum Gases · Physics 2015-03-06 T. Schoof , S. Groth , M. Bonitz

We present extensive new \emph{ab initio} path integral Monte Carlo (PIMC) simulations of the harmonically perturbed uniform electron gas (UEG) for different densities and temperatures. This allows us to study the linear response of the UEG…

Quantum Gases · Physics 2023-05-10 Tobias Dornheim , Panagiotis Tolias , Zhandos Moldabekov , Jan Vorberger

Two first-principles simulation techniques, path integral Monte Carlo (PIMC) and density functional molecular dynamics (DFT-MD), are applied to study hot, dense helium in the density-temperature range of 0.387 - 5.35 g/cc and 500 K -…

Materials Science · Physics 2015-05-13 B. Militzer

In low-temperature high-density plasmas quantum effects of the electrons are becoming increasingly important. This requires the development of new theoretical and computational tools. Quantum Monte Carlo methods are among the most…

Statistical Mechanics · Physics 2014-08-12 T. Schoof , S. Groth , M. Bonitz

We describe a method to evaluate electronic forces by Path Integral Monte Carlo (PIMC). Electronic correlations, as well as thermal effects, are included naturally in this method. For fermions, a restricted approach is used to avoid the…

Condensed Matter · Physics 2009-10-31 Fenghua Zong , D. M. Ceperley

We present the first quasi-exact \textit{ab initio} path integral Monte Carlo (PIMC) results for the dynamic local field correction $\widetilde{G}(\mathbf{q},z_l;r_s,\Theta)$ in the imaginary Matsubara frequency domain, focusing on the…

Strongly Correlated Electrons · Physics 2024-05-15 Tobias Dornheim , Panagiotis Tolias , Fotios Kalkavouras , Zhandos Moldabekov , Jan Vorberger

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

The uniform electron gas (UEG) at finite temperature has recently attracted substantial interest due to the epxerimental progress in the field of warm dense matter. To explain the experimental data accurate theoretical models for high…

Strongly Correlated Electrons · Physics 2015-03-25 V. S. Filinov , V. E. Fortov , M. Bonitz , Zh. Moldabekov

We present extensive new \emph{ab initio} path integral Monte Carlo (PIMC) results for a variety of structural properties of warm dense hydrogen and beryllium. To deal with the fermion sign problem -- an exponential computational bottleneck…

The properties of hydrogen at warm dense matter (WDM) conditions are of high importance for the understanding of astrophysical objects and technological applications such as inertial confinement fusion. In this work, we present extensive…

Plasma Physics · Physics 2023-06-12 Tobias Dornheim , Maximilian Böhme , Zhandos Moldabekov , Jan Vorberger

Hydrogen at extreme temperatures and pressures is ubiquitous throughout our universe and naturally occurs in a variety of astrophysical objects. In addition, it is of key relevance for cutting-edge technological applications, with inertial…

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in the warm dense matter regime, e.g. dense plasmas and laser excited solids. Also, the quality of density functional theory calculations…

Strongly Correlated Electrons · Physics 2016-02-10 S. Groth , T. Schoof , T. Dornheim , M. Bonitz

Precise knowledge of the static density response function (SDRF) of the uniform electron gas (UEG) serves as key input for numerous applications, most importantly for density functional theory beyond generalized gradient approximations.…

Strongly Correlated Electrons · Physics 2017-11-06 Simon Groth , Tobias Dornheim , Michael Bonitz

Path integral Monte Carlo (PIMC) simulations are used to calculate the momentum distribution of the homogeneous electron gas at finite temperature. This is done by calculating the off-diagonal elements of the real-space density matrix,…

Statistical Mechanics · Physics 2007-05-23 B. Militzer , E. L. Pollock , D. M. Ceperley

The article is devoted to numerical studies of atomic (metal) hydrogen with Path Integral Monte Carlo (PIMC) technique. The research is focused on the range of temperatures and densities where quantum statistics effects are crucial for…

Other Condensed Matter · Physics 2013-04-10 Alexander Novoselov , Oleg Pavlovsky , Maxim Ulybyshev

In a recent publication [S. Groth \textit{et al.}, PRB (2016)], we have shown that the combination of two novel complementary quantum Monte Carlo approaches, namely configuration path integral Monte Carlo (CPIMC) [T. Schoof \textit{et al.},…

Strongly Correlated Electrons · Physics 2016-05-20 T. Dornheim , S. Groth , T. Schoof , C. Hann , M. Bonitz