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We perform calculations of the momentum distribution n(k) in solid \^4\He by means of path integral Monte Carlo methods. We see that, in perfect crystal, n(k) does not depend on temperature T and that is different from the classical…

Other Condensed Matter · Physics 2015-05-19 Riccardo Rota , Jordi Boronat

The kinetic energy is estimated for the ground-state of liquid $^3$He at equilibrium density. The obtained value for this quantity, $10.16\pm0.05$ K/atom at density $0.0163~\mbox{\AA}$, is in agreement with most of the experimental data…

Quantum Gases · Physics 2019-01-30 V. Zampronio , S. A. Vitiello

The kinetic energy of solid neon is calculated by a path-integral Monte Carlo approach with a refined Trotter- and finite-size extrapolation. These accurate data present significant quantum effects up to temperature T=20 K. They confirm…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Alessandro Macchi , Gaia Pedrolli , Valerio Tognetti , Ruggero Vaia

In a recent study we have reported a new type of trial wave function symmetric under the exchange of particles and which is able to describe a supersolid phase. In this work, we use the diffusion Monte Carlo method and this model wave…

Other Condensed Matter · Physics 2015-05-28 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat

We study the zero-temperature equation of state (EOS) of solid 4He in the hexagonal closed packet (hcp) phase over the 0-57 GPa pressure range by means of the Diffusion Monte Carlo (DMC) method and the semi-empirical Aziz pair potential…

Other Condensed Matter · Physics 2015-05-13 C. Cazorla , J. Boronat

Kinetic energies of a system of $^4$He are investigated at zero temperature. The multi-weight extension to the diffusion Monte Carlo method is used to implement the Feynman-Hellmann theorem in an effective way. This method allows the…

Other Condensed Matter · Physics 2015-03-05 E. J. Rugeles , Sebastian Ujevic , S. A. Vitiello

We compute ground-state and dynamical properties of $^4$He and $^{16}$O nuclei using as input high-resolution, phenomenological nucleon-nucleon and three-nucleon forces that are local in coordinate space. The nuclear Schr\"odinger equation…

Nuclear Theory · Physics 2024-05-27 Alex Gnech , Alessandro Lovato , Noemi Rocco

The ground-state properties of two-dimensional liquid $^4$He at zero temperature are studied by means of a quadratic diffusion Monte Carlo method. As interatomic potential we use a revised version of the HFDHE2 Aziz potential which is…

Condensed Matter · Physics 2009-10-28 S. Giorgini , J. Boronat , J. Casulleras

We report quantum Monte Carlo (QMC), plane-wave density-functional theory (DFT), and interatomic pair-potential calculations of the zero-temperature equation of state (EOS) of solid neon. We find that the DFT EOS depends strongly on the…

Materials Science · Physics 2008-01-03 N. D. Drummond , R. J. Needs

The momentum distribution and atomic kinetic energy of the two isotopes of helium in a liquid mixture at temperature T=2 K are computed by quantum Monte Carlo simulations. Quantum statistics is fully included for He-4, whereas He-3 atoms…

Other Condensed Matter · Physics 2017-10-03 M. Boninsegni

We present a first-principles computational study of solid 4He at T=0K and pressures up to 160GPa. Our computational strategy consists in using van der Waals density functional theory (DFT-vdW) to describe the electronic degrees of freedom…

Materials Science · Physics 2015-06-22 Claudio Cazorla , Jordi Boronat

The thermodynamics of solid (hcp) He-4 is studied theoretically by means of unbiased Monte Carlo simulations at finite temperature, in a wide range of density. This study complements and extends previous theoretical work, mainly by…

Other Condensed Matter · Physics 2023-07-27 Massimo Boninsegni

We investigate the behavior of the kinetic and the exchange energy densities near the nuclear cusp of atomic systems. Considering hydrogenic orbitals, we derive analytical expressions near the nucleus, for single shells, as well as in the…

Other Condensed Matter · Physics 2016-04-01 L. A. Constantin , E. Fabiano , F. Della Sala

We present precision neutron scattering measurements of the Bose-Einstein condensate fraction, n0(T), and the atomic momentum distribution, n\star(k), of liquid 4He at pressure p =24 bar. Both the temperature dependence of n0(T) and of the…

Statistical Mechanics · Physics 2015-06-03 S. O. Diallo , R. T. Azuah , D. L. Abernathy , R. Rota , J. Boronat , H. R. Glyde

We present neutron scattering measurements of the atomic momentum distribution, n(k), in solid helium under a pressure p = 41 bars and at temperatures between 80 mK and 500 mK. The aim is to determine whether there is Bose-Einstein…

Statistical Mechanics · Physics 2009-11-13 S. O. Diallo , J. V. Pearce , R. T. Azuah , O. Kirichek , J. W. Taylor , H. R. Glyde

We present extensive new \textit{ab intio} path integral Monte Carlo results for the momentum distribution function $n(\mathbf{k})$ of the uniform electron gas (UEG) in the warm dense matter (WDM) regime over a broad range of densities and…

Computational Physics · Physics 2021-05-26 Tobias Dornheim , Maximilian Böhme , Burkhard Militzer , Jan Vorberger

Two-nucleon momentum distributions are calculated for the ground states of 3He and 4He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two-…

Nuclear Theory · Physics 2008-11-26 R. B. Wiringa , R. Schiavilla , Steven C. Pieper , J. Carlson

The ground state properties of spin-polarized deuterium (D$\downarrow$) at zero temperature are obtained by means of the diffusion Monte Carlo calculations within the fixed-node approximation. Three D$\downarrow$ species have been…

Quantum Gases · Physics 2015-06-11 I. Beslic , L. Vranjes Markic , J. Casulleras , J. Boronat

Fast dynamic processes between electrons in solids and a foreign atom represent a fundamental challenge for describing interactions in many-body systems and are a prerequisite for modelling materials modification. We experimentally…

Strongly Correlated Electrons · Physics 2026-05-07 Radek Holeňák , Kevin Vomschee , Eleni Ntemou , Svenja Lohmann , Daniel Primetzhofer

We study the elasticity of perfect 4He at zero-temperature using the diffusion Monte Carlo method and a realistic semi-empirical pairwise potential to describe the He-He interactions. Specifically, we calculate the value of the elastic…

Other Condensed Matter · Physics 2015-05-28 C. Cazorla , Y. Lutsyshyn , J. Boronat
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