Nonlinear optical dynamics of a 2D semiconductor quantum dot super-crystal: Emerging multistability, self-oscillations and chaos

Abstract

We conduct a theoretical study of the nonlinear optical dynamics of a 2D super-crystal comprising regularly spaced identical semiconductor quantum dots (SQDs), subjected to a resonant continuous wave excitation. A single SQD is considered as three-level ladder-like systems involving the ground, one-exciton and bi-exction states. We show that the super - crystal reveals a rich nonlinear dynamics, exhibiting multistability, self-oscillations and chaos. The behaviour is driven by the retarded SQD-SQD interactions and bi-exciton binding energy.

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

“…the ladder [14][15][16] and Λ schemes of optical transitions [17]. It should be noted in this connection that in spite of the global similarity of responses of the abovementioned systems of three-level QEs, the physics of the optical response formation of a V-QE monolayer differs significantly from the other two analogs.…”

“…However, nonlinear optical properties of 2D SCs have been investigated to a far lesser extent. It was shown in recent publications [14][15][16][17] that the nonlinear response of a SC of quantum emitters (QEs) with a ladder scheme [14][15][16] and Λ scheme of optical transitions [17] exhibits multistability, self-oscillations, and dynamic chaos. In addition, in a certain frequency range, the SC almost totally reflects the incident field, i.e., operates as an ideal nanometer-thick mirror, which, in addition, exhibits bistability.…”

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

“…The field Ω, acting on a given QE in the monolayer, represents a sum of the external field Ω0 and the field produced by all other QEs in place of the given one. The near-zone (far-zone) part of the QE-QE interaction gives rise to a dynamic shift of the transition frequencies ω21 and ω32 (collective radiative relaxation of QEs), depending on the population difference of corresponding transitions [1,2], governing by the constants ΔL (shift) and γR (relaxation).…”

“…1, we present the result of calculations performed for the case when the external field is tuned into the resonance with the transition |1⟩↔|3⟩ (Δ31 = ω31 -ω0 = 0). Panel (b) shows the steady-state solution |Ω|-vs-|Ω0| for the set of parameters [2,3] given in the figure Summarizing, a monolayer of Λ-type QEs demonstrates multistability, self-oscillations, dynamical chaos and high reflectance, the features being perspective for nanophotonics.…”

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

“…In this way, the total (retarded) QE-QE dipole-dipole interaction is taken into account. The nearzone (far-zone) part of the QE-QE interaction gives rise to a dynamic renormalization of the transition frequencies ω21 and ω32 (relaxation constants γ21 and γ31), depending on the population difference of corresponding transitions [1,2]. The effects are described by the constants ΔL (shift) and γR (relaxation).…”