Reduced Order Models for Open Quantum Systems
Many quantum mechanical systems require large (potentially infinite) numbers of variables to exactly describe their state. In this thesis, I examine two approaches to develop simple, approximate models for such systems, which capture their essential dynamics. I use two bistable regimes of the Jaynes...
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https://thesis.library.caltech.edu/4599/1/00AsaHopkinsFullThesis.pdfhttps://thesis.library.caltech.edu/4599/2/01IntroductionBackground.pdf
https://thesis.library.caltech.edu/4599/3/02ProjectionFilters.pdf
https://thesis.library.caltech.edu/4599/4/03ProperOrthogonalDecomposition.pdf
https://thesis.library.caltech.edu/4599/5/04LTSAManifolds.pdf
https://thesis.library.caltech.edu/4599/6/05ConclusionBibliography.pdf
Hopkins, Asa Sies (2009) Reduced Order Models for Open Quantum Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KPS7-9C05. https://resolver.caltech.edu/CaltechETD:etd-11182008-113904 <https://resolver.caltech.edu/CaltechETD:etd-11182008-113904>