Please use this identifier to cite or link to this item: https://knowledgecommons.lakeheadu.ca/handle/2453/4696
Title: Immanants and their applications in quantum optics
Authors: Spivak, Dylan
Keywords: Quantum optics
Issue Date: 2020
Abstract: The regular representation of Sn appears quite naturally in the combinatorial problem of the redistribution of quantum particles though an n-channel interferometer. By using tools from representation theory, it has been shown that the coincidence rate can expressed in terms of linear combinations of permuted immanants of the scattering matrix that describes the interferometer. This thesis introduces the delay matrix, whose entries are functions of the relative time delays between particles. The delay matrix is used with Gamas’ theorem to determine exactly which immanants appear in the coincidence rate for a given set of time delays, which improves our understanding of the Hong-Ou-Mandel effect for many-particle systems. Both bosonic and fermionic systems are considered in this thesis.
URI: http://knowledgecommons.lakeheadu.ca/handle/2453/4696
metadata.etd.degree.discipline: Mathematical Sciences
metadata.etd.degree.name: Master of Science
metadata.etd.degree.level: Master
metadata.dc.contributor.advisor: Lu, Xin Yang
Appears in Collections:Electronic Theses and Dissertations from 2009

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