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Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 100, Issue 12, Pages 935–940 (Mi jetpl4506)  

This article is cited in 2 scientific papers (total in 2 papers)

METHODS OF THEORETICAL PHYSICS

Evolution of a steady state of the two-dimensional Gross-Pitaevskii equation

S. B. Medvedeva, Yu. V. Likhanovaab, M. P. Fedorukab, P. L. Chapovskiibc

a Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
c Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Abstract: Expansion of a steady state of the Gross–Pitaevskii equation after switching off the external field has been investigated. It has been shown that the evolution of the aspect ratio of the localized solution is described by the one-dimensional oscillator equation with renormalized time. The renormalization is determined by the evolution of the width or the second moment of the solution. It has been found that the aspect ratio is monotonically inverted in infinite time in the case of the linear Schrödinger equation and does not reach the inverse value in the nonlinear case.

DOI: https://doi.org/10.7868/S0370274X1424014X

Full text: PDF file (149 kB)
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English version:
Journal of Experimental and Theoretical Physics Letters, 2014, 100:12, 829–834

Bibliographic databases:

Document Type: Article
Received: 10.09.2014

Citation: S. B. Medvedev, Yu. V. Likhanova, M. P. Fedoruk, P. L. Chapovskii, “Evolution of a steady state of the two-dimensional Gross-Pitaevskii equation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 100:12 (2014), 935–940; JETP Letters, 100:12 (2014), 829–834

Citation in format AMSBIB
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\by S.~B.~Medvedev, Yu.~V.~Likhanova, M.~P.~Fedoruk, P.~L.~Chapovskii
\paper Evolution of a steady state of the two-dimensional Gross-Pitaevskii equation
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2014
\vol 100
\issue 12
\pages 935--940
\mathnet{http://mi.mathnet.ru/jetpl4506}
\crossref{https://doi.org/10.7868/S0370274X1424014X}
\elib{http://elibrary.ru/item.asp?id=22996291}
\transl
\jour JETP Letters
\yr 2014
\vol 100
\issue 12
\pages 829--834
\crossref{https://doi.org/10.1134/S0021364014240114}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000350023400014}
\elib{http://elibrary.ru/item.asp?id=24010676}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84923793580}


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    This publication is cited in the following articles:
    1. Quantum Electron., 47:5 (2017), 484–490  mathnet  crossref  isi  elib
    2. Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovsky, “Inverse Problem For Stationary State of a Bose–Einstein Condensate”, 2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (Cleo/Europe-Eqec), IEEE, 2017  isi
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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