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dc.contributor.authorAgasti, Souvik
dc.date.accessioned2019-10-09T12:24:15Z
dc.date.available2019-10-09T12:24:15Z
dc.date.issued2019
dc.identifier.citationAgasti, Souvik (2019). Numerical simulation of Kerr nonlinear systems : analyzing non-classical dynamics. Journal of Physics Communications, 3 (10), 105004. DOI: 10.1088/2399-6528/ab4690
dc.identifier.otherCONVID_33031160
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/65799
dc.description.abstractWe simulate coherent driven free dissipative Kerr nonlinear system numerically using Euler's method by solving Heisenberg equation of motion and time evolving block decimation (TEBD) algorithm, and demonstrate how the numerical results are analogous to classical bistability. The comparison with analytics show that the TEBD numerics follow the quantum mechanical exact solution obtained by mapping the equation of motion of the density matrix of the system to a Fokker-Plank equation. Comparing between two different numerical techniques, we see that the semi-classical Euler's method gives the dynamics of the system field of one among two coherent branches, whereas TEBD numerics generate the superposition of both of them. Therefore, the time dynamics determined by TEBD numerical method undergoes through a non-classical state which is also shown by determining second order correlation function.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.publisherInstitute of Physics Publishing Ltd.
dc.relation.ispartofseriesJournal of Physics Communications
dc.rightsCC BY 4.0
dc.subject.otherKerr nonlinear system
dc.subject.otherbistability
dc.subject.othersecond order correlation function
dc.subject.othertime-evolving block decimation algorithm
dc.titleNumerical simulation of Kerr nonlinear systems : analyzing non-classical dynamics
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201910094375
dc.contributor.laitosFysiikan laitosfi
dc.contributor.laitosDepartment of Physicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.relation.issn2399-6528
dc.relation.numberinseries10
dc.relation.volume3
dc.type.versionpublishedVersion
dc.rights.copyright© 2019 The Author(s)
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber275245
dc.subject.ysonumeeriset menetelmät
dc.subject.ysofotoniikka
dc.subject.ysokvanttifysiikka
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p6588
jyx.subject.urihttp://www.yso.fi/onto/yso/p38037
jyx.subject.urihttp://www.yso.fi/onto/yso/p5564
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1088/2399-6528/ab4690
dc.relation.funderAcademy of Finland
jyx.fundingprogramResearch post as Academy Research Fellow, AoF
jyx.fundinginformationThis work was supported by the Academy of Finland under contract no. 275245.


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