Solitary waves and yrast states in Bose-Einstein condensed gases of atoms
The Niels Bohr International Academy, The Niels Bohr Institute - Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark, EU
2 Technological Educational Institute of Crete - P.O. Box 1939, GR-71004, Heraklion, Greece, EU
Accepted: 14 June 2011
Considering a Bose-Einstein condensed gas confined in one dimension with periodic boundary conditions, we demonstrate that, very generally, solitary-wave and rotational excitations coincide. This exact equivalence allows us to establish connections within a number of effects that are present in these two problems, many of which have been studied in the mean-field approximation and in the Tonks-Girardeau limit of hard-core bosons.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 05.30.Jp – Boson systems / 67.85.-d – Ultracold gases, trapped gases
© EPLA, 2011