Multiple fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates

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, the interactions of grey-soliton-like solutions representing analogues of superconducti...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2013-05
Main Authors: Qadir, M I, Susanto, H, Matthews, P C
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Formulations
Matter & antimatter
Quantum theory
Solitary waves
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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, the interactions of grey-soliton-like solutions representing analogues of superconducting Josephson fluxons as well as coupled dark solitons are discussed. A theoretical approximation based on variational formulations to calculate the oscillation frequency of the grey-soliton-like solution is derived and a qualitatively good agreement is obtained.
ISSN:2331-8422
DOI:10.48550/arxiv.1305.6685