  This work is a theoretical investigation on the spin-polariton (polarized
single photon) entanglement in nitrogen vacancy (NV) centers in diamond in
order to interpret the results of two landmark experiments reported by the
teams of Buckley and Togan in Science and Nature. A Jaynes-Cummings model is
applied to analyze the off- and on-resonant dynamics of the electronic spin and
polarized photon system. Combined with the analysis on the NV center's electron
structure and transition rules, this model consistently explained the Faraday
effect, Optical Stark effect, pulse echo technology and energy level
engineering technology in the way to realize the spin-polariton entanglement in
diamond. All theoretical results are consistent well with the reported
phenomena and data.
  This essay essentially aims at applying the fundamental skills the author has
learned in Quantum Optics and Nonlinear Optics, especially to the interesting
materials not covered in class, in assignments and examinations, such as
calculation on matrix form of Hamiltonian, quantum optical dynamics with
dressed state analysis, entanglement and so on.
