Geodesic
Perturbative hydrodynamic Gross--Pitaevskii treatment for Bose--Einstein condensate in infinite length ring with disorder
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 213-215.

Voir la notice de l'article provenant de la source Math-Net.Ru

For the derivation of the dilute Bose–Einstein condensate density and its phase, we have developed the perturbative approach for the solution of the stationary state couple Gross-Pitaevskii hydrodynamic equations. The external disorder potential is considered as a small parameter in this approach. We have derived expressions for the total density, condensate density, condensate density depletion and superfluid velocity of the Bose–Einstein condensate in an infinite length ring with disorder potential having a general form. For the delta correlated disorder, the explicit analytical forms of these quantities (except the superfluid velocity) have been obtained.
Keywords: Bose–Einstein condensate in ring, Gross–Pitaevskii hydrodynamic equations, disorder potential, condensate density, condensate density depletion, delta correlated disorder. 
@article{NANO_2015_6_2_a6,
     author = {D. B. Abdullaev and B. Abdullaev and M. M. Musakhanov},
     title = {Perturbative hydrodynamic {Gross--Pitaevskii} treatment for {Bose--Einstein} condensate in infinite length ring with disorder},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {213--215},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a6/}
}
TY  - JOUR
AU  - D. B. Abdullaev
AU  - B. Abdullaev
AU  - M. M. Musakhanov
TI  - Perturbative hydrodynamic Gross--Pitaevskii treatment for Bose--Einstein condensate in infinite length ring with disorder
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2015
SP  - 213
EP  - 215
VL  - 6
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a6/
LA  - en
ID  - NANO_2015_6_2_a6
ER  - 
%0 Journal Article
%A D. B. Abdullaev
%A B. Abdullaev
%A M. M. Musakhanov
%T Perturbative hydrodynamic Gross--Pitaevskii treatment for Bose--Einstein condensate in infinite length ring with disorder
%J Nanosistemy: fizika, himiâ, matematika
%D 2015
%P 213-215
%V 6
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a6/
%G en
%F NANO_2015_6_2_a6
D. B. Abdullaev; B. Abdullaev; M. M. Musakhanov. Perturbative hydrodynamic Gross--Pitaevskii treatment for Bose--Einstein condensate in infinite length ring with disorder. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 213-215. http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a6/