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In the low-density surface region of superfluid $^4$He, the atoms are far apart and collisions can be ignored. The only effect of the interactions is from the long-range attractive Hartree potential produced by the distant high-density bulk…

Condensed Matter · Physics 2009-10-28 A. Griffin , S. Stringari

We have performed a Quantum Monte Carlo study of a two-dimensional bulk sample of interacting 1/2-spin structureless fermions, a model of $^3$He adsorbed on a variety of preplated graphite substrates. We have computed the equation of state…

Statistical Mechanics · Physics 2015-05-27 M. Nava , E. Vitali , A. Motta , D. E. Galli , S. Moroni

We investigate the constraints on the superfluid fraction of an amorphous solid following from an upper bound derived by Leggett. In order to accomplish this, we use as input density profiles generated for amorphous solids in a variety of…

Disordered Systems and Neural Networks · Physics 2011-04-01 Giulio Biroli , Bryan Clark , Laura Foini , Francesco Zamponi

$^4$He nanodroplets doped with an alkali ion feature a snowball of crystallized layers surrounded by superfluid helium. For large droplets, we predict that a transitional supersolid layer can form, bridging between the solid core and the…

Quantum Gases · Physics 2025-03-12 Juan Carlos Acosta Matos , Panos Giannakeas , Matteo Ciardi , Thomas Pohl , Jan M. Rost

The hardcore-Bose-Hubbard model with random chemical potential is investigated using quantum Monte Carlo simulation. We consider two cases of random distribution of the chemical potential: a uniformly random distribution and a correlated…

Statistical Mechanics · Physics 2009-03-17 Mitsuaki Tsukamoto , Makoto Tsubota

$^4$He confined in nanoporous media is a model Bose system that exhibits quantum phase transition (QPT) by varying pressure. We have precisely determined the critical exponent of the superfluid density of $^4$He in porous Gelsil glasses…

Superconductivity · Physics 2021-04-14 Tomoyuki Tani , Yusuke Nago , Satoshi Murakawa , Keiya Shirahama

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

We present results of large-scale Monte Carlo simulations of the 2D classical x-y model on the square lattice. We obtain high accuracy results for the superfluid fraction and for the specific heat as a function of temperature, for systems…

Statistical Mechanics · Physics 2021-06-01 Phong H. Nguyen , Massimo Boninsegni

The lambda point in liquid He4 is a well established phenomenon acknowledged as an example of Bose-Einstain condensation. This is generally accepted, but there are serious discrepancies between the theory and experimental results, namely…

Other Condensed Matter · Physics 2013-03-15 Piero Chiarelli

We apply density functional theory to study the freezing of superfluid {$^{4}\rm{He}$}, charged bosons and charged fermions at zero temperature. We employ accurate Quantum Monte Carlo data for the linear response function in the uniform…

Condensed Matter · Physics 2009-10-28 C. N. Likos , Saverio Moroni , Gaetano Senatore

We study thermal properties of a trapped Bose-Bose mixture in a dilute regime using quantum Monte Carlo methods. Our main aim is to investigate the dependence of the superfluid density and the condensate fraction on temperature, for the…

Quantum Gases · Physics 2021-01-04 K. Dželalija , V. Cikojević , J. Boronat , L. Vranješ Markić

Low temperature structural and superfluid properties of $^4$He confined in cylindrical nanopores are theoretically investigated by means of first principle Quantum Monte Carlo (QMC) simulations. We vary the density of $^4$He inside the…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Andrea Nava , Domenico Giuliano , Phong H. Nguyen , Massimo Boninsegni

We consider theoretically the possibility of observing unusual quantum fluid behavior in liquid $^{3}$He and solutions of $^{3}$He in $^{4}$He systems confined to nano-channels. In the case of pure ballistic flow at very low temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Lambert , G. Gervais , W. J. Mullin

We review our study of critical phenomena in superfluid $^4$He confined in nanoporous glasses. $^4$He in nanoporous media is an ideal ground to survey the quantum phase transition of bosons. In the present work, critical phenomena were…

Superconductivity · Physics 2022-06-08 Tomoyuki Tani , Yusuke Nago , Satoshi Murakawa , Keiya Shirahama

We have carried out a study of the momentum distribution and of the spectrum of elementary excitations of liquid $^4$He across the normal-superfluid transition temperature, using the path integral Monte Carlo method. Our results for the…

Other Condensed Matter · Physics 2016-11-23 G. Ferré , R. Rota , J. Boronat

Superfluidity, liquid flow without friction, is familiar in helium. The first evidence for "supersolidity", its analogue in quantum solids, came from recent torsional oscillator (TO) measurements involving 4-He. At temperatures below 200…

Other Condensed Matter · Physics 2009-11-13 James Day , John Beamish

In this thesis we have used Quantum Monte Carlo techniques to study two systems that can be regarded as the archetype for neutral strongly interacting systems: 4He, and its fermionic counterpart 3He.More specifically, we have used the Path…

Statistical Mechanics · Physics 2013-01-14 Marco Nava

$^4$He confined in nanoporous Gelsil glass is a unique, strongly correlated Bose system exhibiting quantum phase transition (QPT) by controlling pressure. Previous studies revealed that the QPT occurs with four - dimensional (4D) XY…

Other Condensed Matter · Physics 2022-01-05 Tomoyuki Tani , Yusuke Nago , Satoshi Murakawa , Keiya Shirahama

We compute the energy per particle of normal liquid ${}^3$He in the temperature range $0.15-2$ K using Path Integral Monte Carlo simulations, leveraging a recently proposed method to overcome the sign problem -- a long-standing challenge in…

Quantum Gases · Physics 2025-02-12 Tommaso Morresi , Giovanni Garberoglio

It is well known that the hydrodynamics of a zero-temperature superfluid can be formulated in field-theoretic terms, relating for example the superfluid four-velocity to the gradient of the phase of a Bose-condensed scalar field. At nonzero…

High Energy Physics - Phenomenology · Physics 2012-12-19 Mark G. Alford , S. Kumar Mallavarapu , Andreas Schmitt , Stephan Stetina