Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
Department of Physics and Physical Oceanography University of North Carolina Wilmington
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.
oai:arar.sci.am:23571
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
Dec 13, 2023
Feb 27, 2020
36
https://arar.sci.am/publication/26343
Հրատարակութեան անունը | Թուական |
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The Bogoliubov Inequality and the Nature of Bose-Einstein Condensates for Interacting Atoms in Spatial Dimensions D ≤ 2 | Dec 13, 2023 |
M. Alexanian
H. Arian Zad A. Zoshki N. Ananikian
G. Yu. Kryuchkyan H. S. Karayan A. G. Chibukhchyan A. R. Shahinyan