Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես

Date of publication:

2019

Volume:

12

Number:

2

ISSN:

1829-1171

Official URL:

Corporate Creators:

Department of Physics and Physical Oceanography University of North Carolina Wilmington

Coverage:

185-206

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.

Date created:

2019-07-14

Format:

pdf

Identifier:

oai:arar.sci.am:23571

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան