Date of Graduation
5-2020
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Physics (PhD)
Degree Level
Graduate
Department
Physics
Advisor/Mentor
Julio Gea-Banacloche
Committee Member
Surendra Singh
Second Committee Member
Min Xiao
Third Committee Member
William Harter
Fourth Committee Member
Omar Manasreh
Keywords
nonlinear optics, quantum computing, quantum logic
Abstract
In this dissertation, we shall focus on theoretically studying quantum nonlinear optical schemes to construct a conditional phase gate at the single-photon level. With an aim to develop analytical models, we shall carry out a rigorous quantized multimode field analysis of some of these schemes involving only the interacting field operators. More specifically, we shall first study the three-wave mixing process involving two single-photons in a second-order nonlinear medium (x(2)) under two different cases viz. when the photons are traveling with equal velocities and when they are traveling with different velocities, and explore the possibility of using them for building a conditional phase phase gate.
Finally, we shall study the interaction of single-photon wavepackets with a realistic atomic system viz. an ensemble of five-level atoms, to construct a phase gate. We will particularly look at the "giant Kerr" effect in electromagnetically induced transparency to explore the possibility of using this scheme for achieving a conditional phase shift and to understand how the bandwidth gets restricted naturally in such an atomic system.
Citation
Viswanathan, B. (2020). A Study of Optical Nonlinearities at the Single-Photon Level for Quantum Logic. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/3596