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We have investigated the ground state properties of solid $^4$He with the Shadow Path Integral Ground State method. This exact T=0 K projector method allows to describes quantum solids without introducing any a priori equilibrium position.…

Other Condensed Matter · Physics 2017-08-23 M. Rossi , R. Rota , E. Vitali , D. E. Galli , L. Reatto

We present variational calculations of the one-body density matrices and momentum distributions for ^3He-^4He mixtures in the zero temperature limit, in the framework of the correlated basis functions theory. The ground-state wave function…

Statistical Mechanics · Physics 2016-08-31 J. Boronat , A. Polls , A. Fabrocini

The ground state of solid $^4$He is studied using the diffusion Monte Carlo method and a new trial wave function able to describe the supersolid. The new wave function is symmetric under the exchange of particles and reproduces the…

Other Condensed Matter · Physics 2009-11-13 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat

Exact calculation of the condensate fraction in multi-dimensional inhomogeneous interacting Bose systems which do not possess continuous symmetries is a difficult computational problem. We have developed an iterative procedure which allows…

Quantum Gases · Physics 2014-04-02 G. E. Astrakharchik , K. V. Krutitsky

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 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

We present an analytical method to estimate the condensate fraction $n_0/n$ in strongly correlated systems for which the zero-temperature static structure factor $S({\bf p})$ is known. The advantage of the proposed method is that it allows…

Quantum Gases · Physics 2021-04-08 Yu. E. Lozovik , I. L. Kurbakov , G. E. Astrakharchik , J. Boronat

A diffusion Monte Carlo simulation of superfluid $^4$He at zero temperature and pressures up to 275 bar is presented. Increasing the pressure beyond freezing ($\sim$ 25 bar), the liquid enters the overpressurized phase in a metastable…

Other Condensed Matter · Physics 2009-11-11 L. Vranjes , J. Boronat , J. Casulleras , C. Cazorla

The temperature dependence of the one-body density matrix in 4He crystals presenting vacancies is computed with Path Integral Monte Carlo. The main purpose of this study is to estimate the onset temperature T_0 of Bose-Einstein condensation…

Other Condensed Matter · Physics 2015-05-30 Riccardo Rota , Jordi Boronat

The structure and energetics of the free surface of superfluid $^4$He are studied using the diffusion Monte Carlo method. Extending a previous calculation by Vall\'es and Schmidt, which used the Green's function Monte Carlo method, we study…

Other Condensed Matter · Physics 2009-11-11 J. M. Marin , J. Boronat , J. Casulleras

We have computed the one--body density matrix rho_1 in solid 4He at T=0 K using the Shadow Wave Function (SWF) variational technique. The accuracy of the SWF has been tested with an exact projector method. We find that off-diagonal long…

Statistical Mechanics · Physics 2009-11-11 D. E. Galli , M. Rossi , L. Reatto

For solid 4He and solid p-H2, using the flow-energy-minimizing one-body phase function and exact T=0 K Monte Carlo calculations of the local density, we have calculated the phase function, the velocity profile and upper bounds for the…

Other Condensed Matter · Physics 2009-11-13 D. E. Galli , L. Reatto , W. M. Saslow

The lattice dynamics of hcp crystalline 4He is studied at zero temperature and for two different densities (near and far from melting), using a ground-state path-integral quantum Monte Carlo technique. The complete phonon dispersion is…

Other Condensed Matter · Physics 2009-09-14 Giuseppe Carleo , Saverio Moroni , Stefano Baroni

We present a zero-temperature quantum Monte Carlo calculation of liquid $^4$He immersed in an array of confining potentials. These external potentials are centered in the lattice sites of a fcc solid geometry and, by modifying their well…

Other Condensed Matter · Physics 2009-11-11 C. Cazorla , J. Boronat

In order to explore the 4 \alpha-particle condensate state in 16O, we solve a full four-body equation of motion based on the 4 \alpha OCM (Orthogonality Condition Model) in a large 4 \alpha model space spanned by Gaussian basis functions. A…

Nuclear Theory · Physics 2008-11-26 Y. Funaki , T. Yamada , H. Horiuchi , G. Roepke , P. Schuck , A. Tohsaki

We present a full set of wave equations describing a dense Bose fluid, applicable both to non- ideal gases and to liquid 4He. The phonon spectrum in liquid 4He is found and the fraction of condensed particles is calculated at zero…

Other Condensed Matter · Physics 2015-06-16 V I Kruglov , M J Collett

It is pointed out that simulation computation of energy performed so far cannot be used to decide if the ground state of solid 4He has the number of lattice sites equal to the number of atoms (commensurate state) or if it is different…

Other Condensed Matter · Physics 2009-11-11 D. E. Galli , L. Reatto

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 adduce the results of the condensate fraction calculation for liquid helium-4. The method is derived from the first principles and involves minimum assumptions. The only experimental quantity we need in our calculations is the static…

Statistical Mechanics · Physics 2024-01-04 A. A. Rovenchak , I. O. Vakarchuk

The experimental realization of a thin layer of spin-polarized hydrogen adsorbed on top of the surface of superfluid 4He provides one of the best examples of a stable nearly two-dimensional quantum Bose gas. We report a theoretical study of…

Quantum Gases · Physics 2015-06-18 J. M. Marin , L. Vranjes Markic , J. Boronat
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