RESONANCE ENERGY TRANSFER BETWEEN TWO ATOMS IN THE PRESENCE OF a MULTILAYERED CYLINDRICAL WAVEGUIDE

RESONANCE ENERGY TRANSFER BETWEEN TWO ATOMS IN THE PRESENCE OF A MULTILAYERED-CYLINDRICAL WAVEGUIDE Abstract.. Resonance energy transfer RET between quantum emitters is an important proc

k tranminhhien@iuh.edu.vn

Keywords

RESONANCE ENERGY TRANSFER BETWEEN TWO ATOMS IN THE PRESENCE OF A

MULTILAYERED-CYLINDRICAL WAVEGUIDE Abstract Resonance energy transfer (RET) between quantum emitters is an important process in many different physical systems, as well as in chemistry and biology Considering the nature of this process and the potential to control it is a matter of widespread interest today We already know that radiative processes of any quantum emitters are affected by the environment Resonance energy transfer of two atoms is the exchange of excitation between them mediated by the quantum electromagnetic field; it can be significantly influented by environment

We consider the resonance energy transfer rate of atoms positioned inside of a multilayered-cylindrical waveguide The configuration studied is a Bragg-distributed mirror type The dependence of resonance energy transfer on the distance of the atoms-surface as well as the frequency dependence of the emitted photon will be considered The results show that the amplification or annihilation is very strong when the Bragg coditions are satisfied

Keywords Bragg-distributed mirror, Cylindrical waveguide, Resonance energy transfer

1

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6

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ó mode

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(A5) cho hàm Green và (A9

[1] Edited by Andrews D L and Demidov A A (1999), Resonant Energy transfer , Wiley, New York

[2]

Chem Phys 167, 229

[3] H van Amerongen, L Valkunas, and R van Grondelle, Photosynthetic Excitons Singapore: World Scientific (2000)

[5] Ho Trung Dung, Knöll L and Welsch D.-G (2002), Intermolecular energy transfer in the presence of dispersing and absorbing media , Phys Rev A 65, (043813)

[6] Marocico C A and Knoester J (2009), Intermolecular resonance energy transfer in the presence of a dielectric cylinder , Phys Rev A 79, (053816)

Phys Rev A 72, (063815)

Phys Rev A 98, (013849)

[9] S Y Buhmann and D.-G Welsch, "Born expansion of the Casimir Polder interaction of a ground-state atom with dielectric bodies", Appl Phys B: Lasers Opt 82, 189 (2006)

[10] L.-W Li, M.-S Leong, T.-S Yeo, and

P.-Journal of Electromagnetic Waves and Applications, Vol 14, 961-985, pp.961-972

ndedition, IEEE Press, Piscataway, New Jersey, 1994

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