eFTC211101
ParticleHole Description of the Bogoliubov Dilute Bosonic Gas Model in Small (Finite) Systems 

Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractThe standard theory of BoseEinstein condensation (BEC) assumes that most particles occupy the ground state of the system. This view is based on the BoseEinstein distribution for bosons. But such a distribution is easily shown to be pathological, especially very near the ground state where its variance actually blows up. On the other hand, a careful derivation of the boson distribution for finite systems yields a new and perfectly well behaved generic form compatible with a bosonic particlehole description of the system. Reviewing the zero temperature canonical transformation theory to particles and holes for such a generic distribution, we succesfully apply it to the Bogoliubov theory of the dilute (weakly interacting) bosonic gas, a well known theoretical model of quantum liquids and superfluidity. We recover Bogoliubov's results without invoking BoseEinstein condensation. Therefore, similarly to the case of the ideal gas, we find that the BEC description is replaced by a bosonic particlehole description in the fully interacting case. We also describe the emergence of a new exclusion principle for finite systems which we call the PauliBose exclusion principle. Copyright © 2021 Yvan Leblanc. All rights reserved
PACS: 05.30.Ch, 03.70.+k, 11.10.Gh Cite as: Leblanc, Y., "ParticleHole Description of the Bogoliubov Dilute Bosonic Gas Model in Small (Finite) Systems", manuscript no. eFTC211101 (2021). http://www.efieldtheory.com/abs/?eFTC211101; doi:10.13140/RG.2.2.26730.44488. 





