Two-photon nonlinearity by an excitonic system placed in a cavity (8 pages)

Kazuki Koshino, Hajime Ishihara

Kazuki Koshino, Hajime Ishihara

Ze Cheng

Kazuki Koshino, Hajime Ishihara

We have investigated the two-photon nonlinearity attained by a finite-sized excitonic system placed inside of a cavity, paying attention to the dependence on the system size $N$. The two-photon nonlinearity is evaluated by utilizing semiclassical optical responses. In the quantum-dot limit, the excitonic system behaves as a single two-level system with an enhanced coupling to the cavity mode. In the bulk limit, the nonlinear phase shift decreases as $N$ is increased, proportionally to ${N}^{\ensuremath{-}1∕2}$.

Haruka Tanji

Kazuki Koshino, H. Ishihara

In this study, the nonlinear interaction between two photons mediated by a finite-sized nonlinear optical medium placed inside of a cavity is theoretically discussed. As a model of a finite-sized nonlinear optical system, a Frenkel exciton system composed of N sites is employed. In order to evaluate the two-photon optical nonlinearity, the conventional semiclassical theory for evaluation of the nonlinear phase shift is utilized.