Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

Nonlinear optical dynamics of two-dimensional super-lattices of quantum V-emitters

Davut Ya. Bayramdurdiyev, R. F. Malikov, Igor Viktorovich Ryzhov, Victor A Malyshev

Published Nov 1, 2021• 0 citations
Publisher

Abstract

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.

DOI
10.1088/1742-6596/2103/1/012225

Related papers

Nonlinear Optical Dynamics and High Reflectance of a Monolayer of Three-Level Quantum Emitters with a Doublet in the Excited State

Д. Я. БАЙРАМДУРДЫЕВ, R. F. Malikov, Igor Viktorovich Ryzhov +1 more

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.

Journal of Experimental and Theoretical Physics•Aug 1, 2020•8 citations

Optical Dynamics of a Supercrystal of V-Type Quantum Emitters: Effects of the Dephasing of Electronic States

Д. Я. БАЙРАМДУРДЫЕВ, R. F. Malikov

Abstract The optical response of a two-dimensional supercrystal (monolayer) of quantum emitters with a doublet in the excited state to the action of a continuous external field was theoretically studied, considering the dephasing of the electronic states of the system. The secondary field acting on the V-emitter from other V-emitters of the system forms their nonlinearity and provides internal positive feedback, which leads to bistability and periodic and aperiodic self-oscillations, including chaotic behavior. In the presence of dephasing, the multistability of the optical response is preserved. Phase relaxation leads to a change in the scenario of the system dynamics from chaos to periodic oscillations of the field amplitude, i.e., to a chaos–limit cycle bifurcation and to a decrease in the reflectivity of the monolayer in linear and nonlinear modes.

Bulletin of the Russian Academy of Sciences Physics•Jun 1, 2024•0 citations

Multistability and high reflectance of a mono-layer of three-level quantum emitters with a doublet in the excited state

Davut Ya. Bayramdurdiyev, R. F. Malikov, Igor Viktorovich Ryzhov +1 more

We study theoretically the nonlinear optical response of a mono-layer of three-level quantum emitters with a doublet in the excited state. It is shown that the layer’s response exhibits multistability. In a certain frequency range, the monolayer operates as a perfect bistable mirror.

EPJ Web of Conferences•Jan 1, 2019•4 citations

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 +1 more

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.

EPJ Web of Conferences•Jan 1, 2019•4 citations

Optical dynamics of a supercrystal of V-type quantum emitters: effects of the electronic states' dephasing

Д. Я. БАЙРАМДУРДЫЕВ, R. F. Malikov

A theoretical study of the optical response of a two-dimensional supercrystal (monolayer) of quantum emitters with a doublet in the excited state to the action of a continuous external field has been carried out, considering the dephasing of the electronic states of the system. The secondary field acting on the V-emitter from other V-emitters of the system forms their nonlinearity and provides internal positive feedback, which leads to bistability, periodic and aperiodic auto-oscillations and including chaotic behavior. In the presence of dephasing, the multistability of the optical response is preserved. Phase relaxation leads to a change in the scenario of the system dynamics from chaos to periodic oscillations of the field amplitude, i. e., to a “chaos — limit cycle” bifurcation, a decrease in the reflectivity of the monolayer in linear and nonlinear modes.

Известия Российской академии наук Серия физическая•Jun 15, 2024•0 citations

Quantum metasurfaces with periodic arrays of ΛΛΛ-emitters

Igor Viktorovich Ryzhov, R. F. Malikov, A. V. Malyshev +1 more

We study theoretically the optical response of a monolayer comprizing regularly spaced quantum emitters with a doublet in the ground state (the so-called $Λ$-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.

arXiv:2009.08284•Sep 17, 2020•1 citation
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.
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 The optical response of a two-dimensional supercrystal (monolayer) of quantum emitters with a doublet in the excited state to the action of a continuous external field was theoretically studied, considering the dephasing of the electronic states of the system. The secondary field acting on the V-emitter from other V-emitters of the system forms their nonlinearity and provides internal positive feedback, which leads to bistability and periodic and aperiodic self-oscillations, including chaotic behavior. In the presence of dephasing, the multistability of the optical response is preserved. Phase relaxation leads to a change in the scenario of the system dynamics from chaos to periodic oscillations of the field amplitude, i.e., to a chaos–limit cycle bifurcation and to a decrease in the reflectivity of the monolayer in linear and nonlinear modes.
A theoretical study of the optical response of a two-dimensional supercrystal (monolayer) of quantum emitters with a doublet in the excited state to the action of a continuous external field has been carried out, considering the dephasing of the electronic states of the system. The secondary field acting on the V-emitter from other V-emitters of the system forms their nonlinearity and provides internal positive feedback, which leads to bistability, periodic and aperiodic auto-oscillations and including chaotic behavior. In the presence of dephasing, the multistability of the optical response is preserved. Phase relaxation leads to a change in the scenario of the system dynamics from chaos to periodic oscillations of the field amplitude, i. e., to a “chaos — limit cycle” bifurcation, a decrease in the reflectivity of the monolayer in linear and nonlinear modes.
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.