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EPJ Web of Conferences

A monolayer of three-level quantum Λ-emitters: A perspective system from the viewpoint of nonlinear optical dynamics and nanophotonics

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

Published Jan 1, 2019• 4 citations
Publisher

Abstract

The nonlinear optical response of a monolayer of regularly spaced three-level quantum emitters with a doublet in the ground state is studied theoretically. It is found that the system demonstrates multistability, self-oscillations and dynamical chaos. In a certain frequency range, the monolayer operates as a perfect bistable mirror.
DOI
10.1051/epjconf/201922002012

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arXiv:2009.11664•Sep 23, 2020•0 citations
Abstract We study theoretically the nonlinear optical response of a monolayer 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. The total retarded dipole–dipole interaction of the emitters is accounted for in the mean-field approximation. This interaction plays the role of a positive feedback, which (in combination with the immanent nonlinearity of emitters themselves) leads to multistability of the monolayer response. The stability of different response branches is analyzed using the Lyapunov exponents method. It is found that the instability type depends on the doublet splitting and changes from self-oscillations to chaos upon increasing the splitting. Another important property of the monolayer is its high (almost 100%) reflectance in a certain frequency range; i.e., within this range, the monolayer operates as a perfect nanometer mirror; moreover, reflection can be switched to transmission changing slightly the incident field amplitude (bistability). The possibility of application of the above mentioned monolayer optical properties in nanophotonics is discussed.
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.
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 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