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We design an enhanced Event-Chain Monte Carlo algorithm to study 1D quantum dissipative systems, using their bosonized representation. Expressing the bosonized Hamiltonian as a path integral over a scalar field enables the application of…

Strongly Correlated Electrons · Physics 2025-08-21 Oscar Bouverot-Dupuis , Alberto Rosso , Manon Michel

A theoretical study is reported of the molecular-to-atomic transition in solid hydrogen at high pressure. We use the diffusion quantum Monte Carlo method to calculate the static lattice energies of the competing phases and a…

Materials Science · Physics 2014-04-23 Sam Azadi , Bartomeu Monserrat , W. M. C. Foulkes , R. J. Needs

We develop a formalism to directly evaluate the matrix of force constants within a Quantum Monte Carlo calculation. We utilize the matrix of force constants to accurately relax the positions of atoms in molecules and determine their…

Computational Physics · Physics 2020-04-06 Yu Yang Fredrik Liu , Bartholomew Andrews , Gareth J. Conduit

We extend our low-scaling variational Monte Carlo (VMC) algorithm to optimize the symmetry projected Jastrow mean field (SJMF) wavefunctions. These wavefunctions consist of a symmetry-projected product of a Jastrow and a general…

Strongly Correlated Electrons · Physics 2019-06-19 Ankit Mahajan , Sandeep Sharma

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

A classical description of electron emission differential ionization cross sections for highly-charged high-velocity ions ($\sim$ 10 a.u.) impinging on water molecules is presented. We investigate the validity of the classical statistical…

Atomic Physics · Physics 2020-01-22 Alba Jorge , Marko Horbatsch , Clara Illescas , Tom Kirchner

Recent years have witnessed a surge of experimental and theoretical interest in controlling the properties of matter, such as its chemical reactivity, by confining it in optical cavities, where the enhancement of the light-matter coupling…

We present selected results for the Holstein molecular crystal model in one space dimension as determined by the Global-Local variational method, including complete polaron energy bands, ground state energies, and effective masses. We…

Condensed Matter · Physics 2009-09-25 Aldo H. Romero , David W. Brown , Katja Lindenberg

The ground-state properties of spin polarized hydrogen H$\downarrow$ are obtained by means of diffusion Monte Carlo calculations. Using the most accurate to date ab initio H$\downarrow$-H$\downarrow$ interatomic potential we have studied…

Other Condensed Matter · Physics 2007-05-23 L. Vranjes Markic , J. Boronat , J. Casulleras

Strongly correlated fermionic systems are of great interest in condensed matter physics and numerical methods are indispensable tools for their study. However, existing approaches such as exact diagonalization (ED) and stochastic quantum…

Strongly Correlated Electrons · Physics 2026-03-19 Finn L. Temmen , Martina Gisti , David J. Luitz , Thomas Luu , Johann Ostmeyer

We show that for both single-Slater-Jastrow and Jastrow geminal power wave functions, the formal cost scaling of Hilbert space variational Monte Carlo can be reduced from fifth to fourth order in the system size, thus bringing it in line…

Strongly Correlated Electrons · Physics 2018-12-05 Haochuan Wei , Eric Neuscamman

A path integral Monte Carlo method based on the worm algorithm has been developed to compute the chemical potential of interacting bosonic quantum fluids. By applying it to finite-sized systems of helium-4 atoms, we have confirmed that the…

Statistical Mechanics · Physics 2014-06-24 C. M. Herdman , A. Rommal , A. Del Maestro

We present a study of hydrogen at pressures higher than molecular dissociation using the Coupled Electron-Ion Monte Carlo method. These calculations use the accurate Reptation Quantum Monte Carlo method to estimate the electronic energy and…

Materials Science · Physics 2013-05-29 Miguel A. Morales , Carlo Pierleoni , David Ceperley

We combine ab initio path integral Monte Carlo (PIMC) simulations with fixed ion configurations from density functional theory molecular dynamics (DFT-MD) simulations to solve the electronic problem for hydrogen under warm dense matter…

Plasma Physics · Physics 2023-02-01 Maximilian Böhme , Zhandos A. Moldabekov , Jan Vorberger , Tobias Dornheim

We explore the application of Monte Carlo transport methods to solving coupled radiation-hydrodynamics problems. We use a time-dependent, frequency-dependent, 3-dimensional radiation transport code, that is special relativistic and includes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Nathaniel Roth , Daniel Kasen

We present a new Monte Carlo method which couples Path Integral for finite temperature protons with Quantum Monte Carlo for ground state electrons, and we apply it to metallic hydrogen for pressures beyond molecular dissociation. This…

Statistical Mechanics · Physics 2009-11-10 Markus Holzmann , Carlo Pierleoni , David M. Ceperley

We present a new method for realizing the adiabatic connection approach in density functional theory, which is based on combining accurate variational quantum Monte Carlo calculations with a constrained optimization of the ground state…

Materials Science · Physics 2015-06-25 Maziar Nekovee , W. M. C. Foulkes , A. J. Williamson , G. Rajagopal , R. J. Needs

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

We compute the electrical conductivity for liquid hydrogen at high pressure using quantum Monte Carlo. The method uses Coupled Electron-Ion Monte Carlo to generate configurations of liquid hydrogen. For each configuration correlated…

Strongly Correlated Electrons · Physics 2010-01-22 Fei Lin , Miguel A. Morales , Kris T. Delaney , Carlo Pierleoni , Richard M. Martin , D. M. Ceperley

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

Strongly Correlated Electrons · Physics 2014-08-05 Katharina Boguslawski , Paweł Tecmer , Paul W. Ayers , Patrick Bultinck , Stijn De Baerdemacker , Dimitri Van Neck
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