In:
Acta Polytechnica, Czech Technical University in Prague - Central Library, Vol. 54, No. 2 ( 2014-04-30), p. 133-138
Abstract:
A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a 〈 em 〉 PT 〈 /em 〉 symmetric external potential. If the strength of the in- and outcoupling is increased two 〈 em 〉 PT 〈 /em 〉 broken states bifurcate from the 〈 em 〉 PT 〈 /em 〉 symmetric ground state. At this bifurcation point a stability change of the ground state is expected. However, it is observed that this stability change does not occur exactly at the bifurcation but at a slightly different strength of the in-/outcoupling effect. We investigate a Bose-Einstein condensate in a 〈 em 〉 PT 〈 /em 〉 symmetric double-δ potential and calculate the stationary states. The ground state’s stability is analysed by means of the Bogoliubov-de Gennes equations and it is shown that the difference in the strength of the in-/outcoupling between the bifurcation and the stability change can be completely explained by the norm-dependency of the nonlinear term in the Gross-Pitaevskii equation.
Type of Medium:
Online Resource
ISSN:
1805-2363
,
1210-2709
DOI:
10.14311/AP.2014.54.0133
Language:
Unknown
Publisher:
Czech Technical University in Prague - Central Library
Publication Date:
2014
detail.hit.zdb_id:
2575330-7
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