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Förster Interaction as a Control Mechanism for Quantum Tunneling Current in Coupled Donor-Acceptor Quantum Dots

D. A. M. Abo-Kahla, M. E. Shaheen

Published Apr 21, 2026• 0 citations
Publisher

Abstract

Abstract The analytical solution of the system consisting of donor-acceptor double quantum dots of approximately the same size, located inside a high-quality cavity is studied. The double quantum dots interact with the same phonon fields within the cavity, as well as with a single-mode electromagnetic field. The effect of the modified Förster interaction strength coefficient on the atomic occupation probabilities, ρ11(t), ρ22(t), the atomic population inversion ρz(t), the von Neumann entropy, the information entropies H(σx), H(σy) and H(σz), quantum Fisher information (FI ) and quantum coherence (Qc) of this system are investigated. The results clearly show that the modified Förster interaction strength coefficient (Ω) plays a pivotal role in controlling the dynamics of the coupled quantum dot system, where the interaction between quantum dots accelerates energy transfer and information exchange processes within the system. Hence, under the influence of the Förster interaction, which occurs when the donor’s emission spectrum overlaps with the acceptor’s absorption spectrum, a quantum tunneling current is generated between the two quantum dots using photons from negatively charged excitons. Also, the ability to control the degree of entanglement through Ω provides a mechanism to tune the properties of the quantum system.

DOI
10.21203/rs.3.rs-8910531/v1

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Abstract The analytical solution of the system consisting of donor-acceptor double quantum dots of approximately the same size, located inside a high-quality cavity is studied. The double quantum dots interact with the same phonon fields within the cavity, as well as with a single-mode electromagnetic field. The effect of the modified Förster interaction strength coefficient on the atomic occupation probabilities, ρ11(t), ρ22(t), the atomic population inversion ρz(t), the von Neumann entropy, the information entropies H(σx), H(σy) and H(σz), quantum Fisher information (FI ) and quantum coherence (Qc) of this system are investigated. The results clearly show that the modified Förster interaction strength coefficient (Ω) plays a pivotal role in controlling the dynamics of the coupled quantum dot system, where the interaction between quantum dots accelerates energy transfer and information exchange processes within the system. Hence, under the influence of the Förster interaction, which occurs when the donor’s emission spectrum overlaps with the acceptor’s absorption spectrum, a quantum tunneling current is generated between the two quantum dots using photons from negatively charged excitons. Also, the ability to control the degree of entanglement through Ω provides a mechanism to tune the properties of the quantum system.
We study the dynamics of excitonic states in one dimensional, dimer and trimer, and two dimensional arrangements of colloidal quantum dots using a density-matrix approach.The dots are coupled via a dipole-dipole interaction akin to the Förster mechanism.Coherent oscillations of tuned donor dots are shown to appear as plateaus in the acceptor dots, and therefore in their optical response.This behavior provides one with an interesting and unique handle to monitor the quantum state of clusters in an eavesdroping arrangement.A trimer cluster in a symmetrical loop shows steady states in a shorter characteristic time than the typical radiative lifetime of the dots.Breaking the symmetry of the loop results again in damping oscillatory states in the donor dots and plateaus in the eavesdropping/acceptor dot.The use of realistic parameters allows direct comparison with recent experiments and indicates that coherent state monitoring is possible in real experiments.Estimates of the Förster coupling V F are obtained from a microscopic description of the exciton levels in the quantum dot.We present results for different materials CdS, CdSe, GaAs, and InP as function of dot features.V F shows a nonmonotonic variation with dot sizes and a maximum value that depends on the specific dot sizes, material parameters, and dot separation.We also study the effect of the orientation factor on coherent energy transfer from a donor quantum dot to an acceptor quantum dot by calculating the polarization of the acceptor dot.We study how the measurement of the ac-ceptor polarization can be used to determine the relative orientation between the donor-acceptor pair.We also find that Förster coupling between dots results in a polarization memory transfer.
We propose a theoretical model for studying the dynamics of two-quantum dots system embeded in a nanocavity, which are coupled by Förster, dipolar interactions and the phonon assisted cavity feeding. The model takes into account photons looses, pumping and spontaneous emission of excitons via the Lindblad master equation formalism. The dynamics of the system is strongly influenced by the Förster and phononic interactions, and it is evidenced in the diagonal elements of the density matrix and the dispersion relation of the system. The entanglement of the system is quantified by the concurrence, and it is shown that the Förster interaction improves the entanglement in high excitation regime, in contrast to the effect due to the phonon assisted cavity feeding that tends to reduce it.
We investigate phonon-assisted mechanisms which contribute to the decoherence of excitonic qubits in quantum dot systems coupled by a Förster-type transfer process. Using the Fermi Golden Rule, we derive explicit expressions for the relaxation and dephasing times for excitonic qubits interacting with acoustic phonons via both the deformation potential and piezoelectric coupling. The decoherence times computed using the Fermi Golden Rule are consistent with those estimated using Bloch–Redfield theory at interdot tunnelling energies small enough for Markovian theories to be valid. Our results show that renormalization of interdot tunnelling frequencies due to phonon interactions is influenced mainly by bias and lattice temperature in GaAs/AlGaAs quantum dot systems.
This work investigates the impact of decoherence induced by pure dephasing and phonon-assisted tunneling mechanisms on the optical and quantum properties of two quantum dots. Special attention is given to the density matrix at steady state, and a detailed analysis of populations, coherences, optical transitions and the emission spectrum is performed. Additionally, we study the influence of both phonon-decoherence mechanisms on bipartite entanglement and the degree of mixedness of the system. In particular, our findings indicate that the phonon-assisted tunneling mechanism partially affects the coherences of the system and quantum properties when the imbalance of phonon absorption and emission is significant. Conversely, the pure dephasing mechanism does not affect the populations but strongly entangles the quantum dots and the reservoir, inducing maximally mixed states and significantly reducing the spectral splitting in the emission spectrum of the system.
We have studied energy transfer and photoluminescence in donor and acceptor quantum dots embedded in a nonlinear photonic crystal. The quantum dots are interacting with each other via the dipole-dipole interaction. The nonlinear photonic crystal modifies the dielectric constant of the hybrid system. Using the density matrix method, it is found that the energy transfer and photoluminescence in the donor quantum dot can be controlled by a pump field due to the nonlinearity of the photonic crystal. Additionally, our theoretical calculations agree with recent experiments. This hybrid system can be used to fabricate ultrafast switching and sensing nanodevices.
We provide a theoretical study for the dynamical behavior of two-photon Rabi oscillations in two coupled quantum dots. Each dot is a three-level quantum system (ground, one-exciton, and biexciton states). We describe the optical dynamics within the density matrix formalism framework. The two-photon Rabi oscillations are found to be significantly affected by the strength of the interdot dipolar interaction. Using a detuned laser pulse with an exciton state of the driven quantum dot in our numerical simulations, a direct coherent excitation between the biexciton states can be established, but whether Rabi oscillations can be observed depend mainly on the strength of the dipolar interaction and bandwidth of the excitation laser. When the strength of the dipolar coupling is less than the excitation laser bandwidth, the time-dependent populations of the various two biexciton states of the system exhibit coherent oscillations with several frequencies. However, as we increase the dipolar coupling strength, the population transfer between the quantum dots levels amazingly becomes forbidden, and the excitation gets trapped at the initial state. The reduction of the influence of the dipolar interaction leads to a manipulation of two-photon Rabi oscillation in an ultrashort timescale (∼ps), opening possibilities to achieve ultrafast quantum state control and quantum logic gate generation.