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arXiv · 1910.02553

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

Igor V. Ryzhov·Ramil F. Malikov·Andrey V. Malyshev·Victor A. Malyshev
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Abstract

We conduct a theoretical study of the nonlinear optical response of a two-dimensional semi-conductor quantum dot supercrystal subjected to a quasi-resonant continuous wave excitation. Aconstituent quantum dot is odeled as a three-level ladder-like system (comprising the ground, theone-exciton, and the bi-exction states). To study the stationary response of the supercrystal, wepropose an exact linear parametric method of solving the nonlinear steady-state problem, whileto address the supercrystal optical dynamics qualitatively, we put forward a novel method to cal-culate the bifurcation diagram of the system. Analyzing the dynamics, we demonstrate that thesupercrystal can exhibit multistability, periodic and aperiodic self-oscillations, and chaotic behavior,depending on parameters of the supercrystal and excitation conditions. The effects originate fromthe interplay of the intrinsic nonlinearity of quantum dots and the retarded inter-dot dipole-dipoleinteraction. The latter provides a positive feedback which results in the exotic supercrystal opticaldynamics. These peculiarities of the supercrystal optical response open up a possibility for all-opticalapplications and devices. In particular, an all-optical switch, a tunable generator of THz pulses (inself-oscillating regime), a noise generator (in chaotic regime), and a tunable bistable mirror can bedesigned.

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Igor V. Ryzhov, Ramil F. Malikov, Andrey V. Malyshev, Victor A. Malyshev. 2019-10-04. Nonlinear optical response of a two-dimensional quantum-dot supercrystal: Emerging multistability, periodic and aperiodic self-oscillations, chaos, and transient chaos. https://doi.org/10.1103/physreva.100.033820

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