STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS

Authors

  • Andreas Löhle Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart
  • Holger Cartarius Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart
  • Daniel Haag Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart
  • Dennis Dast Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart
  • Jörg Main Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart
  • Günter Wunner Wunner Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart,

DOI:

https://doi.org/10.14311/AP.2014.54.0133

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 PT symmetric external potential. If the strength of the in- and outcoupling is increased two PT broken states bifurcate from the PT 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 PT 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.

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Published

2014-04-30

Issue

Vol. 54 No. 2 (2014)

Section

Articles

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How to Cite

Löhle, A., Cartarius, H., Haag, D., Dast, D., Main, J., & Wunner, G. W. (2014). STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS. Acta Polytechnica, 54(2), 133-138. https://doi.org/10.14311/AP.2014.54.0133