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We study theoretically the nonlinear optical response of a two-dimensionalsemiconductor quantum dot supercrystal under a resonant continuous waveexcitation. A single quantum dot is modeled as a three-level ladder-like systemwith the ground, one-exciton, and bi-exction states. We propose an exact linearparametric method of solving the nonlinear steady-state problem. It isdemonstrate that the system may exhibit multistability, periodic and aperiodicself-oscillations, and hyperchaotic behavior, depending on the system'sparameters and frequency of excitation. The effects originate from the retardeddipole-dipole interaction of quantum dots. The latter provides a positivefeedback which, in combination with the nonlinearity of SQDs, leads to anexotic nonlinear dynamics of the system indicated above. We discuss relevanceof the underlined effects for nanosized all-optical devices. In particular, aquantum dot supercrystal may serve as a nanosized all-optical switch, a tunablegenerator of trains of THz pulses (in self-oscillating regime), as well as anoise generator (in chaotic regime) at the nanoscale. We show also that thesupercrystal can operate as a bistable mirror. All this suggests variousnanophotonic applications of such type of materials.

journal of physics. conference series

Nonlinear optical response of a two-dimensional quantum dot  supercrystal: Emerging multistability, periodic/aperiodic self-oscillations,  and hyperchaos