Date of Award
Summer 8-2013
Access Type
Thesis - Open Access
Degree Name
Master of Science in Engineering Physics
Department
Physical Sciences
Committee Chair
Bereket Berhane
First Committee Member
Sergey V. Drakunov
Second Committee Member
Gregory Spradlin
Abstract
There has always been a significant interest in using optical systems to control quantum phenomena. A major barrier to controllability of quantum optical systems is the fact that the systems are usually innite dimensional open systems, two cases which have mostly negative controllability results. This thesis develops three new definitions of controllability and reformulates a previous controllability theorem in order to apply the theorem to the system of interest. Then, the controllability of a pumped dissipative quantum optical cavity with engineered decoherence is investigated using previously developed concepts in quantum control theory, as well as the ones developed in this thesis. Positive controllability results were found for Finite Ensemble Population Controllability and Weak Observable Controllability, while Finite Density Matrix Controllability had a negative result. A result for Strong Observable controllability remains elusive, as the normal nonlinear controllability theorems are not applicable to the system.
Scholarly Commons Citation
Henry, Byron Lowry, "Controllability of Open Quantum Optical Systems: Photon Fock States in a Cavity" (2013). Doctoral Dissertations and Master's Theses. 96.
https://commons.erau.edu/edt/96