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Journal of Physics Conference Series

Nonlinear optical dynamics of 2D super-crystals of quantum Λ-emitters

Igor Viktorovich Ryzhov, R. F. Malikov, A. V. Malyshev, Victor A Malyshev

Published Nov 1, 2021• 0 citations
Publisher

Abstract

Abstract We study theoretically the optical response of a 2D super-crystal of quantum Λ-emitters which are coupled by their secondary dipole field. The latter introduces a feedback into the system, the interplay of which with the intrinsic nonlinearity of emitters results in an exotic behavior of the system’s optical response, such as periodic or quasi-periodic self-oscillations and chaotic dynamics. We argue therefore that these predicted features can be promising for various nanophotonic applications.

DOI
10.1088/1742-6596/2103/1/012226

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Abstract We study theoretically the optical response of a 2D super-crystal of quantum Λ-emitters which are coupled by their secondary dipole field. The latter introduces a feedback into the system, the interplay of which with the intrinsic nonlinearity of emitters results in an exotic behavior of the system’s optical response, such as periodic or quasi-periodic self-oscillations and chaotic dynamics. We argue therefore that these predicted features can be promising for various nanophotonic applications.
We study theoretically the optical response of a monolayer comprizing regularly spaced quantum emitters with a doublet in the ground state (the so-called ΛΛΛ-emitters). The emitters' self-action through the retarded dipole-dipole interaction provides a positive feedback, interplay of which with the intrinsic nonlinearity of an isolated emitter, leads to an exotic optical dynamics of the system and prominent effects, such as multistability, self-oscillations, and quasi-chaotic behavior. %The bifurcation diagram approach is used to classify different scenarios of the system's behavior. In a certain spectral domain, the monolayer operates as a bistable mirror. The optical response of the monolayer manifests high sensitivity to the doublet splitting and relaxation within the doublet, suggesting the latter to be the key parameters to tailor the monolayer optical response. These properties make such a system very promising for nanophotonic applications. We discuss the relevance of the predicted nonlinear effects for nano-sized all-optical devices.
Abstract We address exotic optical response of a planar metasurface comprising a monolayer of regularly spaced quantum three-level emitters with a doublet in the ground state (the so-called Λ-emitters). All emitters are coupled by the retarded dipole field which depends on the current state of all emitters. This coupling introduces a feedback into the system. Complex interplay of the latter with the intrinsic nonlinearity of a three-level system results in several remarkable effects in the monolayer’s optical response, such as multistability, self-oscillations, and chaos. The peculiarity of the considered system is that some of the predicted nonlinear effects manifest themselves at very low excitation field intensities (on the order of 1 W/cm 2 ), which is advantageous for possible applications: the monolayer can operate as a perfect reflector, a bistable mirror, and a THz or noise generator. It is argued therefore that the proposed system is a promising candidate for a building block for various photonic nano-devices.
Abstract We study theoretically the nonlinear optical response of a super-lattice of regularly arranged three-level identical quantum emitters with a doublet in the excited state to the action of a monochromatic electromagnetic field quasi-resonant to optical transitions in the emitter, using into account the dephasing of the system. The total retarded dipole-dipole interaction of the emitters is accounted for in the mean-field approximation. This interaction plays the role of positive feedback, which (in combination with the immanent nonlinearity of emitters themselves) leads to multistability of the super-lattice response. The stability of different response branches is analyzed using the Lyapunov exponents’ method. Another important property of the super-lattice is its high reflectance in a certain frequency range; i.e., within this range, the super-lattice operates as a perfect nanometer mirror; moreover, reflection can be switched to transmission changing slightly the incident field amplitude (bistability). The possibility of the application of the above-mentioned super-lattice optical properties in nanophotonics is discussed.
High reflectance and optical dynamics of a metasurface comprizing quantum ΛΛΛ-emitters
In this Letter, we study theoretically reflectance of a monolayer comprizing regularly spaced quantum ΛΛΛ-emitters. Due to high density of the latter, the monolayer almost totally reflects the incident field in the vicinity of the system's collective (excitonic) resonance. The emitter self-action through the secondary field provides a positive feedback, interplay of which with the inherent nonlinearity of an emitter itself, results in an exotic behavior of the system reflectance, including bistability, self-oscillations, and chaotic dynamics. All these features might be of interest for nanophotonic applications
We conduct a theoretical study of the nonlinear optical response of a two-dimensional semiconductor quantum-dot supercrystal subjected to a quasiresonant continuous-wave excitation. A constituent quantum dot is modeled as a three-level ladderlike system (comprising the ground, the one-exciton, and the biexction states). To study the stationary response of the supercrystal, we propose an exact linear parametric method of solving the nonlinear steady-state problem, while to address the supercrystal optical dynamics qualitatively, we put forward a method to calculate the bifurcation diagram of the system. Analyzing the dynamics, we demonstrate that the supercrystal can exhibit multistability, periodic and aperiodic self-oscillations, and chaotic behavior, depending on parameters of the supercrystal and excitation conditions. The effects originate from the interplay of the intrinsic nonlinearity of quantum dots and the retarded interdot dipole-dipole interaction. The latter provides a positive feedback which results in the exotic supercrystal optical dynamics. These peculiarities of the supercrystal optical response open up a possibility for all-optical applications and devices. In particular, an all-optical switch, a tunable generator of THz pulses (in self-oscillating regime), a noise generator (in chaotic regime), and a tunable bistable mirror can be designed.