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

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Abstract

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.

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About the authors

D. Ya. Bayramdurdyev

Akmullah Bashkir State Pedagogical University

Email: rfmalikov@mail.ru
Russian Federation, Ufa

R. F. Malikov

Akmullah Bashkir State Pedagogical University

Author for correspondence.
Email: rfmalikov@mail.ru
Russian Federation, Ufa

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Supplementary files

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2. Fig. 1. Schematic of energy levels and transitions of a quantum V-emitter

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3. Fig. 2. Stationary solutions when phase relaxation is taken into account

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4. Fig. 3. Dynamics and spectrum of the optical response of the supercrystal in the presence of phase relaxation

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5. Fig. 4. Effect of dephasing on the linear reflection coefficient R, which is a function of the resonance detuning Δ31. Doublet splitting value Δ32 = 200

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6. Fig. 5. Nonlinear reflection coefficient R of the supercrystal from intensity at different values of G of energy states dephasing. Dark (red) lines correspond to stable (unstable) regions of the reflection coefficient R

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