Summary
Recent high-momentum-transfer inelastic neutron scattering measurements on superfluid4He yield lineshapes that have been argued to be consistent with the absence of any Bose-Einstein condensation. Here we lend theoretical support to this viewpoint by demonstrating rigorously that no Bose-Einstein condensation can exist within the hierarchy of self-consistent approximations for the single-body propagator in an interacting Bose system. The implications of this on our understanding of superfluidity are discussed.
Riassunto
Recenti misure dello scattering anelastico di neutroni con grande trasferimento d’impulso in4He superfluido dànno forme delle righe che si è argomentato che siano consistenti con l’assenza di ogni condensato di Bose-Einstein. Qui si dà un sostegno teorico a questo punto di vista dimostrando che non può esistere alcun condensato di Bose-Einstein nella gerarchia di approssimazioni autoconsistenti per il propagatore di un solo corpo in un sistema di Bose interagente. Si discute cosa ciò implichi nella nostra comprensione della superfluidità.
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Evans, W.A.B. A theoretical argument against a Bose-Einstein condensate in superfluid4He. Nuov Cim B 30, 145–152 (1975). https://doi.org/10.1007/BF02721499
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DOI: https://doi.org/10.1007/BF02721499