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Ability to tune the group velocity of a light pulse is of great importance for optical communication applications and
realization of quantum information processing. Tunability of group velocity can be achieved by using either optical or
electronic resonances. Tunability of an optical resonance depends on the change in refractive index of the cavity
material. However, since electro-optical coefficients of non-engineered materials are quite small, the tuning range of
optical resonances by electric field is narrow. This makes tuning by electric field impractical for most applications.
Quantum dot (QD) coupled to a photonic crystal cavity is a useful hybrid system exhibiting nonlinear features. In this
work, we analyze the use of quantum dot - optical cavity hybrid systems to engineer nonlinear waveguides susceptible to
electric fields. We start by theoretically analyzing the optical pulse propagation at low-photon number excitation limit in
a periodically arranged strongly coupled quantum dot - photonic crystal system. A one dimensional periodic array of
evanescently coupled photonic cavities (coupled resonator optical waveguides, CROWs) containing non-interacting
quantum dots allows us to tune the group velocity and the bandwidth of the pulse by adjusting the cavity/QD coupling.
Tunable group velocity can be achieved by applying an external electric field which will result in a significant decrease
in the cavity/QD coupling because of DC Stark effect. We also show that, using this approach, light pulses can be
slowed down or stored by compressing the pulse bandwidth adiabatically and reversibly. Adiabatic bandwidth
compression can be achieved by slowly decreasing the coupling strength when the light pulse is inside the coupled
resonator optical waveguide. The energy splitting and the coupling constant after applying electric field is calculated by
using perturbation theory for two level systems. With our approach, nonlinear materials highly susceptible to electric
fields can be engineered in low-excitation regime.
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