dc.creator | Kevrekidis, Panayotis G. | |
dc.creator | Cuevas-Maraver, Jesús | |
dc.creator | Saxena, Avadh | |
dc.creator | Cooper, Fred | |
dc.creator | Khare, Avinash | |
dc.date.accessioned | 2015-10-06T10:00:08Z | |
dc.date.available | 2015-10-06T10:00:08Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 1539-3755 | es |
dc.identifier.issn | 1550-2376 | es |
dc.identifier.uri | http://hdl.handle.net/11441/29203 | |
dc.description.abstract | In the present work, we combine the notion of parity-time (PT ) symmetry with that of supersymmetry (SUSY)
for a prototypical case example with a complex potential that is related by SUSY to the so-called P¨oschl-Teller
potential which is real. Not only are we able to identify and numerically confirm the eigenvalues of the relevant
problem, but we also show that the corresponding nonlinear problem, in the presence of an arbitrary power-law
nonlinearity, has an exact bright soliton solution that can be analytically identified and has intriguing stability
properties, such as an oscillatory instability,which is absent for the corresponding solution of the regular nonlinear
Schr¨odinger equation with arbitrary power-law nonlinearity. The spectral properties and dynamical implications
of this instability are examined. We believe that these findings may pave the way toward initiating a fruitful
interplay between the notions of PT symmetry, supersymmetric partner potentials, and nonlinear interactions. | es |
dc.description.sponsorship | This work was supported in part by the US Department of Energy. A.K. wishes to thank the Indian National Science Academy (INSA) for financial support at Pune University. P.G.K. gratefully acknowledges support from NSF-DMS- 1312856, the Binational Science Foundation under Grant No. 2010239, and the ERC under FP7, Marie Curie Actions, People, International Research Staff Exchange Scheme (IRSES-605096) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Physical Society | es |
dc.relation.ispartof | Physical Review E, 92(4), 042901:1-7 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Interplay between parity-time symmetry, supersymmetry, and nonlinearity: An analytically tractable case example | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.publisherversion | http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.042901 | es |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevE.92.042901 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/29203 | |
dc.contributor.funder | Department of Energy. United States | |