Fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates

Details Fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates Fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates

2011-05-20

arxiv.org/abs/1105.4030v2

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, 7 figures, The paper is to appear in Journal of Physics B

Scientific paper

Two effectively one-dimensional parallel coupled Bose-Einstein condensates in the presence of external potentials are studied. The system is modelled by linearly coupled Gross-Pitaevskii equations. In particular, grey-soliton-like solutions representing analogues of superconducting Josephson fluxons as well as coupled dark solitons are discussed. Theoretical approximations based on variational formulations are derived. It is found that the presence of a magnetic trap can destabilize the fluxon analogues. However, stabilization is possible by controlling the effective linear coupling between the condensates.

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