Dark solitons near potential and nonlinearity steps

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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.acceptance2016-10-25en
dc.date.accessioned2018-10-10T12:02:06Z
dc.date.available2018-10-10T12:02:06Z
dc.date.issued2016-12-14
dc.descriptionThe file attached to this record is the Publisher's final version.en
dc.description.abstractWe study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstein condensates (where such steps can be realized by using proper external fields) and nonlinear optics (for beam propagation near interfaces separating optical media of different refractive indices).We use perturbation theory to develop an equivalent particle theory, describing the matter-wave or optical soliton dynamics as the motion of a particle in an effective potential. This Newtonian dynamical problem provides information for the soliton statics and dynamics, including scenarios of reflection, transmission, or quasitrapping at such steps. The case of multiple such steps and its connection to barrier potentials is additionally touched upon. The range of validity of the analytical approximation and radiation effects are also investigated. Our analytical predictions are found to be in very good agreement with the corresponding numerical results, where appropriate.en
dc.exception.ref2021codes252cen
dc.funderQatar Universityen
dc.funderNSFen
dc.funderBSFen
dc.funderBSF-2010239en
dc.funderUS-AFOSRen
dc.funderERC under FP7, Marie Curie Actions, People, International Research Staff Exchange Schemeen
dc.identifier.citationTsitoura, F., Anastassi, Z.A., Marzuola, J.L., Kevrekidis, P.G. and Frantzeskakis, D.J. (2016) Dark solitons near potential and nonlinearity steps. Physical Review A, 94, 063612.en
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.94.063612
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/2086/16710
dc.language.isoenen
dc.peerreviewedYesen
dc.projectidQUUG-CAS-DMSP-13/14-7en
dc.projectidNSF-DMS-1312856en
dc.projectidBSF-2010239en
dc.projectidFA9550-12-1- 0332en
dc.projectidIRSES-605096en
dc.projectidDMS–1312874en
dc.projectidDMS-1352353en
dc.publisherAmerican Physical Societyen
dc.researchinstituteInstitute of Artificial Intelligence (IAI)en
dc.subjectSolitonsen
dc.subjectBose-Einstein condensatesen
dc.subjectComputer simulationen
dc.titleDark solitons near potential and nonlinearity stepsen
dc.typeArticleen

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