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dc.contributor.authorGarcía-Escartín, Juan Carlos
dc.contributor.authorGimeno García, Vicent
dc.contributor.authorMoyano Fernández, Julio José
dc.date.accessioned2019-03-27T12:22:49Z
dc.date.available2019-03-27T12:22:49Z
dc.date.issued2019
dc.identifier.citationGARCIA-ESCARTIN, Juan Carlos; GIMENO, Vicent; MOYANO-FERNÁNDEZ, Julio José. Multiple photon effective Hamiltonians in linear quantum optical networks. Optics Communications, 2019, vol. 430, p. 434-439.ca_CA
dc.identifier.issn0030-4018
dc.identifier.urihttp://hdl.handle.net/10234/181971
dc.description.abstractWe give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution of the quantum state of any number of photons entering a linear optics multiport. The description is based on the effective Hamiltonian of the optical system for a single photon and comes from relating the evolution in the Lie group that describes the unitary evolution matrices in the Hilbert space of the photon states to the evolution in the Lie algebra of the Hamiltonians for one and multiple photons. Our derivation complements previous results with a point of view which reminds of the Schrödinger picture. These group theory results allow us to prove that quantum optical linear networks obey different proportionality rules which relate the expected photon number at each input and output ports. In particular, we show that for a uniform photon input the average photon number at the output is preserved for any linear multiport.ca_CA
dc.format.extent6 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfOptics Communications 430 (2019)ca_CA
dc.rights0030-4018/© 2018 Elsevier B.V. All rights reserved.ca_CA
dc.subjectQuantum opticsca_CA
dc.subjectLinear optics multiportsca_CA
dc.subjectGroup theoryca_CA
dc.subjectLie groupsca_CA
dc.subjectLie algebrasca_CA
dc.titleMultiple photon effective Hamiltonians in linear quantum optical networksca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.optcom.2018.08.082
dc.relation.projectIDTEC2015-69665-R ; VA089U16 ; MTM2017-84851-C2-2-P ; P1-B2016-07 ; P1-1B2015-02 ; MTM2015-65764-C3-2-Pca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://www.sciencedirect.com/science/article/pii/S0030401818307818ca_CA
dc.type.versioninfo:eu-repo/semantics/submittedVersionca_CA


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