STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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CTU Central Library
2014-04-01
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| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2092 |
| _version_ | 1828409206910222336 |
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| author | Andreas Löhle Holger Cartarius Daniel Haag Dennis Dast Jörg Main Günter Wunner Wunner |
| author_facet | Andreas Löhle Holger Cartarius Daniel Haag Dennis Dast Jörg Main Günter Wunner Wunner |
| author_sort | Andreas Löhle |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T11:52:22Z |
| format | Article |
| id | doaj.art-5e9d3655cb1a480e906e185229dbb32c |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-10T11:52:22Z |
| publishDate | 2014-04-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-5e9d3655cb1a480e906e185229dbb32c2022-12-22T01:49:53ZengCTU Central LibraryActa Polytechnica1210-27091805-23632014-04-0154210.14311/AP.2014.54.01332066STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTSAndreas Löhle0Holger Cartarius1Daniel Haag2Dennis Dast3Jörg Main4Günter Wunner Wunner5Institut für Theoretische Physik 1, Universität Stuttgart, 70550 StuttgartInstitut für Theoretische Physik 1, Universität Stuttgart, 70550 StuttgartInstitut für Theoretische Physik 1, Universität Stuttgart, 70550 StuttgartInstitut für Theoretische Physik 1, Universität Stuttgart, 70550 StuttgartInstitut für Theoretische Physik 1, Universität Stuttgart, 70550 StuttgartInstitut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart,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.https://ojs.cvut.cz/ojs/index.php/ap/article/view/2092 |
| spellingShingle | Andreas Löhle Holger Cartarius Daniel Haag Dennis Dast Jörg Main Günter Wunner Wunner STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS Acta Polytechnica |
| title | STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS |
| title_full | STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS |
| title_fullStr | STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS |
| title_full_unstemmed | STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS |
| title_short | STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS |
| title_sort | stability of bose einstein condensates in a pt symmetric double δ potential close to branch points |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2092 |
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