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dc.contributor.authorCartarius , Holger
dc.contributor.authorDast , Dennis
dc.contributor.authorHaag , Daniel
dc.contributor.authorWunner , Günter
dc.contributor.authorEichler , Rüdiger
dc.contributor.authorMain , Jorg
dc.date.accessioned2017-02-09T08:16:06Z
dc.date.available2017-02-09T08:16:06Z
dc.date.issued2013
dc.identifier.citationActa Polytechnica. 2013, vol. 53, no. 3.
dc.identifier.issn1210-2709 (print)
dc.identifier.issn1805-2363 (online)
dc.identifier.urihttp://hdl.handle.net/10467/67055
dc.description.abstractWe investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions. A one-dimensional and a fully three-dimensional setup are used. Stationary states are determined and the propagation of wave function is investigated using the time-dependent Gross-Pitaevskii equation. Due to the nonlinearity of the Gross-Pitaevskii equation the potential dependson the wave function and its solutions decide whether or not the Hamiltonian itself is PT symmetric. Stationary solutions with real energy eigenvalues fulfilling exact PT symmetry are found as well as PT broken eigenstates with complex energies. The latter describe decaying or growing probability amplitudes and are not true stationary solutions of the time-dependent Gross-Pitaevskii equation. However, they still provide qualitative information about the time evolution of the wave functions.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherČeské vysoké učení technické v Prazecs
dc.publisherCzech Technical University in Pragueen
dc.relation.ispartofseriesActa Polytechnica
dc.relation.urihttps://ojs.cvut.cz/ojs/index.php/ap/article/view/1797
dc.rightsCreative Commons Attribution 4.0 International Licenseen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectBose-Einstein condensatesen
dc.subjectPT symmetryen
dc.subjectGross-Pitaevskii equationen
dc.subjectstationary statesen
dc.subjectdynamicsen
dc.titleStationary and Dynamical Solutions of the GrossPitaevskii Equation for a BoseEinstein Condensate in a PT symmetric Double Well
dc.typearticleen
dc.date.updated2017-02-09T08:16:06Z
dc.rights.accessopenAccess
dc.type.statusPeer-reviewed
dc.type.versionpublishedVersion


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Except where otherwise noted, this item's license is described as Creative Commons Attribution 4.0 International License