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dc.contributor.authorDoutre, Seanen
dc.date2013-09-27 12:00:10.281
dc.date.accessioned2013-09-28T21:34:55Z
dc.date.available2013-09-28T21:34:55Z
dc.date.issued2013-09-28
dc.identifier.urihttp://hdl.handle.net/1974/8344
dc.descriptionThesis (Master, Physics, Engineering Physics and Astronomy) -- Queen's University, 2013-09-27 12:00:10.281en
dc.description.abstractIn this thesis I develop a formalism for analyzing quantum optics in photonic crystal slab cavities which may be coupled, lossy, and non-orthogonal. Using a tight-binding approximation I find classical coupled-cavity quasimodes which overlap in space and frequency. These classical modes are used to develop a multiphoton basis for quantum optics with non-orthogonal photon states. I develop creation and annihilation operators with a novel commutation relation as a consequence of the nonorthogonality of the quasimodes. With these operators the effective Hamiltonian, number operator, electric field operator and quadrature operators are obtained. The quantum jump technique is applied to handle the effects of loss. This technique is compared with the master equation, and conditions for the quantum jump technique being preferable are described. The quantum jump technique is implemented numerically, allowing for time-dependent linear and X(2) non-linear pumping. I use a combination of analytic results and characteristic functions to examine the evolution of coherent and squeezed states in a single lossy quasimode. The analysis is then extended to two nonorthogonal quasimodes. States are investigated using reduced characteristic functions.en
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectNon-Linear Opticsen
dc.subjectNon-Orthogonalen
dc.subjectQuantum Mechanicsen
dc.subjectQuantum Jumpen
dc.subjectQEDen
dc.subjectPhysicsen
dc.subjectQuantum Electrodynamicsen
dc.subjectPhotonic Crystalen
dc.subjectLossen
dc.subjectPhotonen
dc.subjectQuantum Opticsen
dc.titleQuantum Optics and the Quantum Jump Technique for Lossy and Non-Orthogonal Systemsen
dc.typethesisen
dc.description.degreeM.Sc.en
dc.contributor.supervisorDignam, Marc M.en
dc.contributor.departmentPhysics, Engineering Physics and Astronomyen
dc.degree.grantorQueen's University at Kingstonen


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