Bose-Einstein Condensation in Solid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts></mml:math>

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

doi:10.1103/physrevlett.98.205301

Cited by 42 publications

(44 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A condensate fraction has not been observed in crystalline solid helium 40,68,69 at these pressures, even when the surface area is large. 69 An upper limit of n 0 ≤ 0.3 % has been set.…”

Section: -67mentioning

confidence: 85%

See 1 more Smart Citation

Atomic momentum distribution and Bose-Einstein condensation in liquid4He under pressure

et al. 2011

Self Cite

View full text Add to dashboard Cite

Neutron scattering measurements of the dynamic structure factor, S(Q, ω), of liquid 4 He as a function of pressure at high momentum transfer, Q, are presented. At high Q the dynamics of single atoms in the liquid is observed. From S(Q, ω) the atomic momentum distribution, n(k), the Bose-Einstein condensate fraction, n0, and the Final State broadening function are obtained. The shape of n(k) differs from a classical, Maxwell-Boltzmann distribution with higher occupation of low momentum states in the quantum liquid. The width of n(k) and the atomic kinetic energy, K , increase with pressure but the shape of n(k) remains approximately independent of pressure. The present observed and Monte Carlo calculations of K agree within error. The condensate fraction decreases from n0 = 7.25 ± 0.75% at SVP (p ≃ 0) to n0 = 3.2 ± 0.75% at pressure p = 24 bar, a density dependence that is again reproduced by MC calculations within observed error. The Final State function is the contribution to S(Q, ω) arising from the interaction of the struck atom with its neighbors following the scattering. The FS function broadens with increasing pressure reflecting the increased importance of FS effects at higher pressure.

show abstract

“…A condensate fraction has not been observed in crystalline solid helium 40,68,69 at these pressures, even when the surface area is large. 69 An upper limit of n 0 ≤ 0.3 % has been set.…”

Section: -67mentioning

confidence: 85%

“…The lowest two are a 3 = ∇ 2 v(r) /6 and a 4 = (∇v) 2 /3 where v(r) is the total potential seen by the struck atom. In applications 34,40 we have found that β 4 is negligible. Similarly the a 54 term in β 5 and the a 62 term in β 6 are also small and can be neglected.…”

Section: B Observed Dynamic Structure Factormentioning

confidence: 89%

Atomic momentum distribution and Bose-Einstein condensation in liquid4He under pressure

et al. 2011

Self Cite

View full text Add to dashboard Cite

show abstract

“…Observation of BEC in solid helium would be an unambiguous verification of superflow but, as yet, has not been observed [17][18][19] . To better understand BEC in dense systems we have measured 20 the condensate fraction in liquid 4 He at low temperature as a function of pressure up to solidification, p = 25.3 bar.…”

mentioning

confidence: 90%

Bose-Einstein condensation in liquid4He near the liquid-solid transition line

et al. 2012

Self Cite

View full text Add to dashboard Cite

We present precision neutron scattering measurements of the Bose-Einstein condensate fraction, n0(T ), and the atomic momentum distribution, n ⋆ (k), of liquid 4 He as a function of temperature at pressure p =24 bar. Both the temperature dependence of n0(T ) and of the width of n ⋆ (k) are determined. The n0(T ) can be represented by n0(T ) = n0 (0)γ ] with a small n0(0) = 2.80 ± 0.20 % and large γ = 13 ± 2 for T < T λ indicating strong interaction. The onset of BEC is accompanied by a significant narrowing of the n ⋆ (k). The narrowing accounts for 65 % of the drop in kinetic energy below T λ and reveals an important coupling between BEC and k > 0 states. The experimental results are well reproduced by Path Integral Monte Carlo calculations.

show abstract

“…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%

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

et al. 2017

View full text Add to dashboard Cite

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]

show abstract

Bose-Einstein Condensation in SolidHe4

Cited by 42 publications

References 27 publications

Atomic momentum distribution and Bose-Einstein condensation in liquid4He under pressure

Atomic momentum distribution and Bose-Einstein condensation in liquid4He under pressure

Bose-Einstein condensation in liquid4He near the liquid-solid transition line

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

Contact Info

Product

Resources

About