Density and temperature dependence of the momentum distribution in liquid helium 4

Snow, W. M.; Sokol, P. E.

doi:10.1007/bf00754515

Cited by 26 publications

(22 citation statements)

References 71 publications

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“…As a result, the scattering data obeys Y -scaling to good approximation, even though the scaling function is not J IA (Y ). We first employ the phenomenological model developed by Sosnick et al 31,33 to obtain empirical estimates for E K as a function of temperature. Their model momentum distribution n(k) consists of a sum of two Gaussians:…”

Section: Resultsmentioning

confidence: 99%

“…Empirical estimates for the condensate fraction n 0 obtained from the ARCS data set are listed in Table II. We have also carried out the same analysis upon the PHOENIX data sets 31,33 . These results are shown in Table III.…”

Section: Resultsmentioning

confidence: 99%

“…This includes the MARI [24][25][26][27][28][29] , PHOENIX [30][31][32][33][34] , and eVS 35 spectrometers. There is both convergence and divergence in the results of these studies.…”

Section: Introductionmentioning

confidence: 99%

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The Momentum Distribution of Liquid $$^4\hbox {He}$$

et al. 2017

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We report high-resolution neutron Compton scattering measurements of liquid 4 He under saturated vapor pressure. There is excellent agreement between the observed scattering and ab initio predictions of its lineshape. Quantum Monte Carlo calculations predict that the Bose condensate fraction is zero in the normal fluid, builds up rapidly just below the superfluid transition temperature, and reaches a value of approximately 7.5% below 1 K. We also used model fit functions to obtain from the scattering data empirical estimates for the average atomic kinetic energy and Bose condensate fraction. These quantities are also in excellent agreement with ab initio calculations.The convergence between the scattering data and Quantum Monte Carlo calculations is strong evidence for a Bose broken symmetry in superfluid 4 He. 1 arXiv:1703.03018v1 [cond-mat.other]

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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The Momentum Distribution of Liquid $$^4\hbox {He}$$

et al. 2017

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“…In condensed matter physics, the use of high-energy neutrons to probe the momentum distribution of helium atoms in liquid helium was first suggested in Refs. [40,41] and has been widely employed in experiments [42][43][44]. Now in ultracold-atom experiments, analogs of the hard probe naturally exist because a recombination of three atoms into a two-body bound state (dimer) produces an atom-dimer "dijet" propagating through the medium.…”

Section: Introductionmentioning

confidence: 99%

Probing strongly interacting atomic gases with energetic atoms

Nishida

2012

Phys. Rev. A

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We investigate properties of an energetic atom propagating through strongly interacting atomic gases. The operator product expansion is used to systematically compute a quasiparticle energy and its scattering rate both in a spin-1/2 Fermi gas and in a spinless Bose gas. Reasonable agreement with recent quantum Monte Carlo simulations even at a relatively small momentum k/kF>1.5 indicates that our large-momentum expansions are valid in a wide range of momentum. We also study a differential scattering rate when a probe atom is shot into atomic gases. Because the number density and current density of the target atomic gas contribute to the forward scattering only, its contact density (measure of short-range pair correlation) gives the leading contribution to the backward scattering. Therefore, such an experiment can be used to measure the contact density and thus provides a new local probe of strongly interacting atomic gases.Comment: 35 pages, 11 figures; (v4) published with the new titl

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“…However, owing to the interaction, the atoms of superfluid helium populate not only the lowest quantum state (as particles of an ideal Bose gas), but some set of low-lying quantum states. Both theoretical calculations and neutron scattering experiments show that at T < 1 K approximately 10% of the 4 He atoms are in the lowest state (see, e.g., [4,5,6,7] and references therein). Thus, the density of the atomic condensate can be taken to be at least n c = 0.1n.…”

Section: Introductionmentioning

confidence: 99%