Coherent fluorescence resonance energy transfer between two dipoles: Full quantum electrodynamics approach

Климов, В. В.; Sekatskiǐ, S. K.; Dietler, Giovanni

doi:10.1080/09500340408232502

Cited by 12 publications

(7 citation statements)

References 23 publications

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“…A numerically adequate method to solve some of the above problems was introduced in [17]. It is based on classical oscillators and uses the finite difference time domain (FDTD) method to compute RDDI in free space and some dielectric structures.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we demonstrate a computational method that simplifies the evaluation of RDDI, using the numerical equivalence between RDDI and the classical dipole response function [18]. Unlike previous works [17], we introduce a new approach capable of treating geometries with strong resonant optical cavities and photonic band edges where second order perturbation theory fails. Using a variational wavefunction expansion, we derive the time evolution of the expansion coefficients.…”

Section: Introductionmentioning

confidence: 99%

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Resonant dipole–dipole interaction in confined and strong-coupling dielectric geometries

El‐Ganainy

John

2013

New J. Phys.

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Using the electromagnetic response function of an electric dipole located within a dielectric geometry, we derive the mathematical equivalence between the classical response and quantum mechanical resonant dipole-dipole interaction between two quantum objects (atoms, quantum dots, etc). Cooperative spontaneous emission likewise emerges from this equivalence. We introduce a practical numerical technique using finite difference time domain for calculating both dipole-dipole interaction and collective spontaneous emission in confined dielectric structures, where strong light-matter coupling might arise. This method is capable of obtaining resonant dipole-dipole interaction over a wide range of frequencies in a single run. Our method recaptures the results of quantum mechanical second order perturbation theory for weak light-matter coupling. In strong coupling situations such as near a photonic band edge, second order Rayleigh-Schrödinger perturbation theory leads to divergences, and instead Brillouin-Wigner perturbation theory is required. This is equivalent to the use of a variational wavefunction to describe the exciton transfer between initial and final states. We introduce a system of coupled classical oscillators, that describes resonant dipole-dipole interaction and vacuum Rabi splitting in the strong-coupling regime, and that provides an effective numerical scheme based on the finite difference time domain method. This includes the effects of quantum entanglement and the correlation of quantum fluctuations. We discuss the crossover to Forster energy transfer when quantum correlations between the dipoles are damped by strong environmental interactions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Resonant dipole–dipole interaction in confined and strong-coupling dielectric geometries

El‐Ganainy

John

2013

New J. Phys.

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“…(14), (iii) random sources technique and (iv) Joule power losses approach to calculate the transfer rate for the acceptor state Eq. (26).…”

Section: Kinetic Equationsmentioning

confidence: 99%

“…A general theory of Förster transfer process has been developed in detail. [22][23][24][25][26][27] However, the relation between transfer process and the Purcell effect as well as the character of the transfer in each particular nanosystem, radiative or nonradiative, remains a subject of ac-…”

Section: Introductionmentioning

confidence: 99%

Nonradiative and radiative Förster energy transfer between quantum dots

Poddubny

Rodina

2016

J. Exp. Theor. Phys.

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We study theoretically nonradiative and radiative energy transfer between two localized quantum emitters, donor one (i.e. initially excited) and acceptor one (i.e. receiving the excitation). The rates of nonradiative and radiative processes are calculated depending on the spatial and spectral separation between donor and acceptor states and for different donor and acceptor lifetimes for typical parameters of semiconductor quantum dots. We find that the donor lifetime can be significantly modified only due to the nonradiative Förster energy transfer process at donor-acceptor separations ∼ 10 nm (depending on the acceptor radiative lifetime) and for the energy detuning not larger than 1÷2 meV. The efficiency of the nonradiative Förster energy transfer process under these conditions is close to unity and decreases rapidly with the increase of donor-acceptor distance or energy detuning. At large donor-acceptor separations > 40 nm the radiative corrections to the donor lifetime are comparable with nonradiative ones but are relatively weak.

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“…This situation is also quite common with the stan dard case of two interacting two level systems when the resonance condition is only approximately hold (see e.g. [30]), of which the inexact resonance for the coherently interacting donor and acceptor(s) is a par ticular example, see also [12,31,32].…”

Section: Discussionmentioning

confidence: 94%