Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii, “Analytical trial functions for modelling a two-dimensional Bose condensate”, Kvantovaya Elektronika, 2017, Volume 47, Number 5,Pages <nobr>484

This article is cited in 5 papers

Physics of ultra cold atoms and their applications

Analytical trial functions for modelling a two-dimensional Bose condensate

Yu. V. Likhanova^ab, S. B. Medvedev^a, M. P. Fedoruk^ab, P. L. Chapovskii^cb

^a Institute of Computational 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: Approximate analytical solutions to the time-independent two-dimensional Gross–Pitaevsky equation are obtained by a variational method. The solutions found are compared with the results of direct numerical calculations. The accuracy of analytical solutions is determined under various conditions of the problem, primarily the degree of nonlinear interaction of atoms in a Bose condensate.

Keywords: Bose–Einstein condensates, two-dimensional Gross-Pitaevskii equation, variational method, trial functions, approximate analytical solutions.

Received: 09.03.2017