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We analyze the dynamics of single photon transport in a single-mode waveguidecoupled to a micro-optical resonator using a fully quantum mechanical model. Weexamine the propagation of a single-photon Gaussian packet through the systemunder various coupling conditions. We review the theory of single photontransport phenomena as applied to the system and we develop a discussion on thenumerical technique we used to solve for dynamical behavior of the quantizedfield. To demonstrate our method and to establish robust single photon results,we study the process of adiabatically lowering or raising the energy of asingle photon trapped in an optical resonator under active tuning of theresonator. We show that our fully quantum mechanical approach reproduces thesemi-classical result in the appropriate limit and that the adiabatic invarianthas the same form in each case. Finally, we explore the trapping of a singlephoton in a system of dynamically tuned, coupled optical cavities.

Fully quantum mechanical dynamic analysis of single-photon transport in a single-mode waveguide coupled to a traveling-wave resonator