Dark soliton scattering in symmetric and asymmetric double potential barriers

dc.cclicenceCC-BY-NCen
dc.contributor.authorTsitoura, F.en
dc.contributor.authorAnastassi, Zachariasen
dc.contributor.authorMarzuola, J. L.en
dc.contributor.authorKevrekidis, P. G.en
dc.contributor.authorFrantzeskakis, D. J.en
dc.date.acceptance2017-05-23en
dc.date.accessioned2018-10-11T09:34:26Z
dc.date.available2018-10-11T09:34:26Z
dc.date.issued2017-06-01
dc.descriptionThe file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.en
dc.description.abstractMotivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical case examples of interactions of dark solitons with a pair of scatterers. In a way fundamentally opposite to the case of bright solitons (but consonant to their “anti-particle character”), we find that dark solitons accelerate as they pass the first barrier and hence cannot be trapped by a second equal-height barrier. A pair of unequal barriers may lead to reflection from the second one, however trapping in the inter-barrier region cannot occur. We also give some examples of dynamical adjusting of the barriers to trap the dark soliton in the inter-barrier region, yet we show that this can only occur over finite time horizons, with the dark soliton always escaping eventually, contrary again to what is potentially the case with bright solitons.en
dc.exception.ref2021codes252cen
dc.funderNSFen
dc.funderAlexander von Humboldt Foundationen
dc.funderStavros Niarchos Foundationen
dc.identifier.citationTsitoura, F., Anastassi, Z.A., Marzuola, J.L., Kevrekidis, P.G. and Frantzeskakis, D.J. (2017) Dark soliton scattering in symmetric and asymmetric double potential barriers. Physics Letters A, 381, pp. 2514-2520.en
dc.identifier.doihttps://doi.org/10.1016/j.physleta.2017.05.058
dc.identifier.issn0375-9601
dc.identifier.urihttp://hdl.handle.net/2086/16719
dc.language.isoenen
dc.peerreviewedYesen
dc.projectidNSF Applied Math Grant DMS-1312874en
dc.projectidNSF CAREER Grant DMS-1352353en
dc.projectidNSF-PHY-1602994en
dc.projectidGreek Diaspora Fellowship Programen
dc.publisherElsevieren
dc.researchinstituteInstitute of Artificial Intelligence (IAI)en
dc.subjectSoliton scatteringen
dc.subjectPerturbation theoryen
dc.subjectBECen
dc.subjectComputer simulationen
dc.titleDark soliton scattering in symmetric and asymmetric double potential barriersen
dc.typeArticleen

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