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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 2, Pages 213–215
DOI: https://doi.org/10.17586/2220-8054-2015-6-2-213-215
(Mi nano935)
 

This article is cited in 1 scientific paper (total in 1 paper)

Perturbative hydrodynamic Gross–Pitaevskii treatment for Bose–Einstein condensate in infinite length ring with disorder

D. B. Abdullaeva, B. Abdullaeva, M. M. Musakhanovb

a Institute of Applied Physics, National University of Uzbekistan,Tashkent 100174, Uzbekistan
b National University of Uzbekistan, Tashkent 100174, Uzbekistan
Full-text PDF (142 kB) Citations (1)
Abstract: 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.
Received: 02.02.2015
Bibliographic databases:
Document Type: Article
PACS: 47.37.+q, 67.10.Jn, 67.85.Jk
Language: English
Citation: D. B. Abdullaev, B. Abdullaev, M. M. Musakhanov, “Perturbative hydrodynamic Gross–Pitaevskii treatment for Bose–Einstein condensate in infinite length ring with disorder”, Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015), 213–215
Citation in format AMSBIB
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\by D.~B.~Abdullaev, B.~Abdullaev, M.~M.~Musakhanov
\paper Perturbative hydrodynamic Gross--Pitaevskii treatment for Bose--Einstein condensate in infinite length ring with disorder
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 2
\pages 213--215
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\crossref{https://doi.org/10.17586/2220-8054-2015-6-2-213-215}
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