In 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. / Thesis (Master, Physics, Engineering Physics and Astronomy) -- Queen's University, 2013-09-27 12:00:10.281
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OKQ.1974/8344 |
| Date | 28 September 2013 |
| Creators | Doutre, Sean |
| Contributors | Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.)) |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Rights | This 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. |
| Relation | Canadian theses |
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