Bose-Einstein condensation in liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>under pressure

Glyde, H. R.; Diallo, Souleymane; Azuah, R. T.; Kirichek, O.; Taylor, J. W.

doi:10.1103/physrevb.83.100507

Cited by 35 publications

(45 citation statements)

References 35 publications

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“…In Fig. 4, we also compare our estimates for n 0 with the experimental ones 6 and with the ones obtained in previous numerical simulations. [9][10][11]13 It is easy to notice that our results provide an excellent description of the experimental dependence of the condensate fraction as a function of pressure in all the range of stability of the liquid phase of 4 He, improving previous calculations which focus especially on the equilibrium density and do not explore in detail the physically interesting pressure range where the experimental data can be measured.…”

Section: Resultssupporting

confidence: 48%

“…At the equilibrium density of liquid 4 4 He at zero temperature as a function of pressure p in the region of stability of liquid phase. Our PIGS results (black squares) are compared with the experimental ones (red diamonds) 6 and previous theoretical calculations, obtained with Diffusion Monte Carlo (green up triangles), 10 Diffusion Euler Monte Carlo (violet left triangles), 11 Reptation Quantum Monte Carlo (blue circle) 13 and PIMC at T = 1 K. 9 The dashed line represents the curve obtained fitting our results with the equation…”

Section: Discussionmentioning

confidence: 99%

“…Recently, with the advances in the experimental technology and in the method of analysis of the scattering data, Glyde et al 5 have been able to give improved estimations of n 0 at very low temperature. At saturated vapor pressure (SVP), they found n 0 = (7.25 ± 0.75)%, 5 and more recently they have measured the dependence of n 0 with pressure p. 6 Because of the strong correlations between 4 He atoms, the calculation of the one-body density matrix in superfluid 4 He cannot be obtained analytically via a perturbative approach. It is necessary the use of microscopic simulations to provide accurate estimations of the condensate fraction.…”

Section: Introductionmentioning

confidence: 99%

“…We fit our numerical data for ρ 1 (r) with the model used in previous experimental works, 5 highlighting the merits and the faults of this model, and finally we give our estimations for the condensate fraction when changing the pressure of the liquid, showing an excellent agreement with experimental data. 6 The PIGS method and the computational details of our simulation are discussed in Sec. II.…”

Section: Introductionmentioning

confidence: 99%

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Condensate Fraction in Liquid 4He at Zero Temperature

Rota

Boronat

2011

J Low Temp Phys

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We present results of the one-body density matrix ρ 1 (r) and the condensate fraction n 0 of liquid 4 He calculated at zero temperature by means of the Path Integral Ground State Monte Carlo method. This technique allows to generate a highly accurate approximation for the ground state wave function Ψ 0 in a totally model-independent way, that depends only on the Hamiltonian of the system and on the symmetry properties of Ψ 0 . With this unbiased estimation of ρ 1 (r), we obtain precise results for the condensate fraction n 0 and the kinetic energy K of the system. The dependence of n 0 with the pressure shows an excellent agreement of our results with recent experimental measurements. Above the melting pressure, overpressurized liquid 4 He shows a small condensate fraction that has dropped to 0.8% at the highest pressure of p = 87 bar.

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Section: Resultssupporting

confidence: 48%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Condensate Fraction in Liquid 4He at Zero Temperature

Rota

Boronat

2011

J Low Temp Phys

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“…This contrasts with the difficulties encountered in the measure of the condensate fraction in liquid 4 He, which amounts to only 8% at the equilibrium density. 2 However, liquid 4 He is a stable superfluid below the lambda transition T λ = 2.17 K and is therefore a more easily accessible system. Before the blowup produced in the field of quantum fluids by the first experimental realization of BEC gases, liquid helium was the only paradigm of a superfluid.…”

Section: Introductionmentioning

confidence: 99%

Superfluidity of metastable glassy bulkpara-hydrogen at low temperature

2012

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Molecular para-hydrogen (p-H 2 ) has been proposed theoretically as a possible candidate for superfluidity, but the eventual superfluid transition is hindered by its crystallization. In this work, we study a metastable noncrystalline phase of bulk p-H 2 by means of the path integral Monte Carlo method in order to investigate at which temperature this system can support superfluidity. By choosing accurately the initial configuration and using a noncommensurate simulation box, we have been able to frustrate the formation of the crystal in the simulated system and to calculate the temperature dependence of the one-body density matrix and of the superfluid fraction. We observe a transition to a superfluid phase at temperatures around 1 K. The limit of zero temperature is also studied using the diffusion Monte Carlo method. Results for the energy, condensate fraction, and structure of the metastable liquid phase at T = 0 are reported and compared with the ones obtained for the stable solid phase.

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