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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2014, Volume 100, Issue 12, Pages 935–940
DOI: https://doi.org/10.7868/S0370274X1424014X (Mi jetpl4506) 		 
This article is cited in 4 scientific papers (total in 4 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
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DOI: https://doi.org/10.7868/S0370274X1424014X
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.
Received: 10.09.2014
English version:
Journal of Experimental and Theoretical Physics Letters, 2014, Volume 100, Issue 12, Pages 829–834
DOI: https://doi.org/10.1134/S0021364014240114
Bibliographic databases:
Document Type: Article
Language: Russian
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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    • This publication is cited in the following 4 articles:
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