Structure of the excitation spectrum of liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Blagoveshchenskiǐ, N. M.; Bogoyavlenskii, I.V.; Karnatsevich, L. V.; Kozlov, Zh. A.; Kolobrodov, V. G.; Priezzhev, V. B.; Puchkov, A. V.; Skomorokhov, A. N.; Yarunin, V. S.

doi:10.1103/physrevb.50.16550

Cited by 27 publications

(29 citation statements)

References 34 publications

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“…In the new experiments on the neutron scattering in superfluid He-4 [4], the presence of two close branches of the Bogolyubov-Landau spectrum is observed. It seems possible to interpret these experiments on the basis of the two-branch structure of above-condensate excitations discovered in the present paper.…”

Section: Conclussi Onmentioning

confidence: 88%

The two-branch spectrum of excitations of the Bose-condensate

Yarunin¹

1998

J Math Sci

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Dedicated to the memory of V. N. PopovThe two-branch spectrum of excitations of a weakly nonideal Bose-gas is obtained by using the integral over trajectories in the canonical ensemble with constraint. A rearrangment of the spectrum at the condensate density providing equilibrium of the attractive and repulsive forces in the interatomic potential is discovered. The influence of the quantum bosonic oscillations in the ground state on the stability of the branches is investigated.

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Section: Conclussi Onmentioning

confidence: 88%

The two-branch spectrum of excitations of the Bose-condensate

Yarunin¹

1998

J Math Sci

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“…The apparition of this Bose condensate transition and the one of the superfluid liquid are strongly correlated to each other. Indeed, from [55][56][57] if γ s is the fraction of superfluid liquid and γ 0 the one of the condensate, one has…”

Section: Additional Interpretations Of This Microscopic Theory Of Supmentioning

confidence: 99%

“…These two systems may compose together the superfluid liquid, which coexists with the normal liquid for non-zero temperature at any positive velocity. Note that Landau's criterion of superfluidity [18,19] confronts an initial problem expressed by Remark 3.4 and also a second one: the application of this criterion to the Henshaw-Woods spectrum [20] gives for the critical velocity v 0 ≈ 60 m/s The attempts to explain these "misfittings" are concentrated around the idea that the Landau-type spectrum experimentally discovered by Henshaw and Woods [20] is only a part of a plethora of other types of "elementary" excitations not covered by the Bogoliubov theory, see [3,57].…”

Section: Additional Interpretations Of This Microscopic Theory Of Supmentioning

confidence: 99%

A New Microscopic Theory of Superfluidity at All Temperatures

Adams

Bru

2004

Ann. Henri Poincaré

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Following the program suggested in [1], we propose a new microscopic theory of superfluidity for all temperatures and densities. In particular, the corresponding phase diagram of this theory exhibits:(i) a thermodynamic behavior corresponding to the Perfect Bose Gas for small densities or high temperatures, (ii) the "Landau-type" excitation spectrum in the presence of non-conventional Bose condensation for high densities or small temperatures, (iii) a depletion of the Bose condensate with the formation of "Cooper-type pairs", even at zero-temperature (experimentally, an estimate of the fraction of condensate in liquid 4 He at T=0 K is 9%, see [2,3]).In contrast to Bogoliubov's last approach and while warning that the full interacting Hamiltonian is truncated, the analysis performed here is rigorous by involving a complete thermodynamic analysis of a non-trivial continuous gas in the canonical ensemble.

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“…The dispersion curve of superfluid helium excitations has been measured accurately as a function of momentum [5]. At the lambda transition, these experiments show a sharp peak inelastic neutron scattering intensity is defined by the energy of the single particle excitations, and there is appearing a broad component in the inelastic neutron scattering intensity, at higher momenta.…”

Section: Introductionmentioning

confidence: 99%