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- W1635360960 abstract "We consider the restriction placed by the Bogoliubov inequality on the nature of the Bose-Einstein condensates (BECs) for interacting atoms in a spatial dimension D ≤ 2 and in the presence of an external arbitrary potential, which may be a confining “box”, a periodic, or a disordered potential. The atom-atom interaction gives rise to a (gauge invariance) symmetry-breaking term that places further restrictions on BECs in the form of a consistency proviso. The necessary condition for the existence of a BEC in D ≤ 2 in all cases is macroscopic occupation of many single-particle momenta states with the origin a limit point (or accumulation point) of condensates. It is shown that the nature of BECs for noninteracting atoms in a disordered potential is precisely the same as that of BECs for interacting atoms in the absence of an external potential." @default.
- W1635360960 created "2016-06-24" @default.
- W1635360960 creator A5001720154 @default.
- W1635360960 date "2010-09-17" @default.
- W1635360960 modified "2023-09-27" @default.
- W1635360960 title "The Bogoliubov inequality and the nature of Bose-Einstein condensates for interacting atoms in spatial dimensions $D le 2$" @default.
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