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Quantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium

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dc.contributor.authorPetersen, Ian
dc.coverage.spatialZurich, Switzerland
dc.date.accessioned2018-11-30T01:19:33Z
dc.date.available2018-11-30T01:19:33Z
dc.date.createdJuly 17-19 2013
dc.date.issued2013
dc.date.updated2018-11-29T08:21:24Z
dc.description.abstractThis paper applies results on the robust stability of nonlinear quantum systems to a system consisting an optical cavity containing a saturated Kerr medium. The system is characterized by a Hamiltonian operator which contains a non-quadratic term involving a quartic function of the annihilation and creation operators. A saturated version of the Kerr non-linearity leads to a sector bounded nonlinearity which enables a quantum small gain theorem to be applied to this system in order to analyze its stability. Also, a non-quadratic version of a quantum Popov stability criterion is presented and applied to analyze the stability of this system.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn9783033039629
dc.identifier.urihttp://hdl.handle.net/1885/154114
dc.publisherEUCA
dc.relation.ispartofseriesEuropean Control Conference, ECC 2013
dc.source2013 European Control Conference, ECC 2013
dc.source.urihttp://ieeexplore.ieee.org/document/6669492/
dc.titleQuantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium
dc.typeConference paper
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.lastpage2711
local.bibliographicCitation.startpage2707
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANU
local.contributor.authoruidPetersen, Ian, u4036493
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.absfor020604 - Quantum Optics
local.identifier.absseo970109 - Expanding Knowledge in Engineering
local.identifier.ariespublicationu5357342xPUB390
local.identifier.scopusID2-s2.0-84893301414
local.type.statusPublished Version

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