Controllability of Open Quantum Optical Systems: Photon Fock States in a Cavity

<p>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.</p>

Name thesis:degree_name

Master of Science in Engineering Physics

Level thesis:degree_level

Thesis - Open Access

Discipline thesis:degree_discipline

Physical Sciences

Year

2013

Author dc:creator

• Henry, Byron, Lowry

• optical systems
• quantum
• photon
• fock
• cavity
• Engineering Physics
• Quantum Physics

Repository record dc:identifier

https://commons.erau.edu/edt/96

OAI identifier oai:identifier

oai:commons.erau.edu:edt-1095