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Author Hojman, S.A.; Asenjo, F.A.
Title Dual wavefunctions in two-dimensional quantum mechanics Type
Year 2020 Publication Physics Letters A Abbreviated Journal Phys. Lett. A
Volume 384 Issue 13 Pages 5 pp
Keywords Schrodinger equation; Dual solution; Bohm potential; Two-dimensions; Optics
Abstract It is shown that the Schrodinger equation for a large family of pairs of two-dimensional quantum potentials possess wavefunctions for which the amplitude and the phase are interchangeable, producing two different solutions which are dual to each other. This is a property of solutions with vanishing Bohm potential. These solutions can be extended to three-dimensional systems. We explicitly calculate dual solutions for physical systems, such as the repulsive harmonic oscillator and the two-dimensional hydrogen atom. These dual wavefunctions are also solutions of an analogue optical system in the eikonal limit. In this case, the potential is related to the refractive index, allowing the study of this two-dimensional dual wavefunction solutions with an optical (analogue) system. (C) 2020 Elsevier B.V. All rights reserved.
Address [Hojman, Sergio A.] Univ Adolfo Ibanez, Dept Ciencias, Fac Artes Liberales, Santiago 7491169, Chile, Email: sergio.hojman@uai.cl;
Corporate Author Thesis
Publisher Elsevier Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0375-9601 ISBN Medium
Area Expedition Conference
Notes WOS:000525434900002 Approved
Call Number UAI @ eduardo.moreno @ Serial 1152
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Author Akhmediev, N.; Kibler, B.; Baronio, F.; Belic, M.; Zhong, W.P.; Zhang, Y.Q.; Chang, W.; Soto-Crespo, J.M.; Vouzas, P.; Grelu, P.; Lecaplain, C.; Hammani, K.; Rica, S.; Picozzi, A.; Tlidi, M.; Panajotov, K.; Mussot, A.; Bendahmane, A.; Szriftgiser, P.; Genty, G.; Dudley, J.; Kudlinski, A.; Demircan, A.; Morgner, U.; Amiraranashvili, S.; Bree, C.; Steinmeyer, G.; Masoller, C.; Broderick, N.G.R.; Runge, A.F.J.; Erkintalo, M.; Residori, S.; Bortolozzo, U.; Arecchi, F.T.; Wabnitz, S.; Tiofack, C.G.; Coulibaly, S.; Taki, M.
Title Roadmap on optical rogue waves and extreme events Type
Year 2016 Publication Journal Of Optics Abbreviated Journal J. Opt.
Volume 18 Issue 6 Pages 37 pp
Keywords rogue waves; extreme events; nonlinear optics
Abstract The pioneering paper 'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the new subfield in optics. This work launched a great deal of activity on this novel subject. As a result, the initial concept has expanded and has been enriched by new ideas. Various approaches have been suggested since then. A fresh look at the older results and new discoveries has been undertaken, stimulated by the concept of 'optical rogue waves'. Presently, there may not by a unique view on how this new scientific term should be used and developed. There is nothing surprising when the opinion of the experts diverge in any new field of research. After all, rogue waves may appear for a multiplicity of reasons and not necessarily only in optical fibers and not only in the process of supercontinuum generation. We know by now that rogue waves may be generated by lasers, appear in wide aperture cavities, in plasmas and in a variety of other optical systems. Theorists, in turn, have suggested many other situations when rogue waves may be observed. The strict definition of a rogue wave is still an open question. For example, it has been suggested that it is defined as 'an optical pulse whose amplitude or intensity is much higher than that of the surrounding pulses'. This definition (as suggested by a peer reviewer) is clear at the intuitive level and can be easily extended to the case of spatial beams although additional clarifications are still needed. An extended definition has been presented earlier by N Akhmediev and E Pelinovsky (2010 Eur. Phys. J. Spec. Top. 185 1-4). Discussions along these lines are always useful and all new approaches stimulate research and encourage discoveries of new phenomena. Despite the potentially existing disagreements, the scientific terms 'optical rogue waves' and 'extreme events' do exist. Therefore coordination of our efforts in either unifying the concept or in introducing alternative definitions must be continued. From this point of view, a number of the scientists who work in this area of research have come together to present their research in a single review article that will greatly benefit all interested parties of this research direction. Whether the authors of this 'roadmap' have similar views or different from the original concept, the potential reader of the review will enrich their knowledge by encountering most of the existing views on the subject. Previously, a special issue on optical rogue waves (2013 J. Opt. 15 060201) was successful in achieving this goal but over two years have passed and more material has been published in this quickly emerging subject. Thus, it is time for a roadmap that may stimulate and encourage further research.
Address [Akhmediev, Nail; Chang, Wonkeun; Vouzas, Peter] Australian Natl Univ, Opt Sci Grp, Res Sch Phys & Engn, Acton, ACT 2601, Australia, Email: Nail.Akhmediev@anu.edu.au
Corporate Author Thesis
Publisher Iop Publishing Ltd Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2040-8978 ISBN Medium
Area Expedition Conference
Notes WOS:000378065100002 Approved
Call Number UAI @ eduardo.moreno @ Serial 635
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Author Picozzi, A.; Rica, S.
Title Condensation of classical optical waves beyond the cubic nonlinear Schrodinger equation Type
Year 2012 Publication Optics Communications Abbreviated Journal Opt. Commun.
Volume 285 Issue 24 Pages 5440-5448
Keywords Nonlinear optics; NLS equation; Optical turbulence; Condensation of optical waves
Abstract A completely classical nonlinear wave is known to exhibit a process of condensation whose thermodynamic properties are analogous to those of the genuine Bose-Einstein condensation. So far this phenomenon of wave condensation has been studied essentially in the framework of the nonlinear Schrodinger (NLS) equation with a pure cubic Kerr nonlinearity. We study wave condensation by considering two representative generalizations of the NLS equation that are relevant to the context of nonlinear optics, the nonlocal nonlinearity and the saturable nonlinearity. For both cases we derive analytical expressions of the condensate fraction in the weakly and the strongly nonlinear regime. The theory is found in quantitative agreement with the numerical simulations of the generalized NLS equations, without adjustable parameters. (C) 2012 Elsevier B.V. All rights reserved.
Address [Picozzi, Antonio] Univ Bourgogne, Lab Interdisciplinaire Camot Bourgogne, CNRS UMR 5027, Dijon, France, Email: antonio.picozzi@u-bourgogne.fr;
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0030-4018 ISBN Medium
Area Expedition Conference
Notes WOS:000311196500124 Approved
Call Number UAI @ eduardo.moreno @ Serial 255
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