Theoretical Studies of Förster Resonance Energy Transfer between Coupled Quantum Dots
Shiang-Yu Huang(黃翔昱)1*, Shu-Wei Wang(王書偉)1, Yan-Jhen Huang(黃彥禎)1, Yu-Lun Cheng(鄭宇倫)1, Guang-Yin Chen(陳光胤)2, Yueh-Nan Chen(陳岳男)3, Shun-Jen Cheng(鄭舜仁)1
1Department of Electrophysics, National Chiao Tung University, Hsinchu 300, Taiwan
2Department of Physics, National Chung Hsing University, Taichung 402, Taiwan
3Department of Physics, National Cheng Kung University, Tainan 701, Taiwan
* presenting author:黃翔昱,
Photosynthesis is a process in plants to harvest light and convert the energy from the light absorption to the biological chemical energy. In a natural photosynthesis process, the energy is transferred between different sites of Fenna-Matthews-Olson (FMO) complexes and end up at a reaction center where the chemical energy is converted [1] [2]. It has been well established that FMO complexes can conduct energy very efficiently. In this work, we attempt to design and theoretical study artificial photosynthesis systems made of solid-state nanostructures, e.g. semiconductor nanocrystal quantum dots (QDs), to replace the biological FMO complexes in real photosynthesis. Our purpose is to study, in the solid state light harvest devices embedded with coupled QDs, the physics of Förster resonance energy transfer (FRET) that is widely believed as the main mechanism of the high energy transfer efficiency in biological photosynthesis.In this work, we numerically simulate and theoretically analyze the FRET dynamics in coupled QDs using the quantum master equation theory [3]. As representative case studies we specifically consider a 1D chains and circle composed of few coupled QDs [4]. Theoretically, we treat each QDs as two-level subsystems (TLS) and consider one of them excited by incident light as a donor at initial time. Then, we monitor the dynamics of the exciton between transferred QDs, mediated by long ranged dipole-dipole interactions (DDI). In these simulations we find that essentially the dynamics of energy transfer between coupled QDs depends on not only the distances between QDs but also their spatial arrangement. As main results, we show that the 1D chain-like coupled QDs are more efficient to transfer energy as compared with the coupled QDs arranged in a circle.

[1] Carsten Olbrich et al., J. Phys. Chem. B, 115 (26), pp 8609–8621(2011)
[2] Guang-Yin Chen, Neill Lambert, Che-Ming Li, Yueh-Nan Chen, and Franco Nori
Phys. Rev. E 88, 032120 (2013)
[3] Carmichael H.J. Statistical methods in quantum optics 1: Master equations and Fokker-Planck equations (Springer, 1999)
[4] Guang-Yin Chen, Shin-Liang Chen, Che-Ming Li, Yueh-Nan Chen, Scientific Reports 3, Article number: 2514

Keywords: Photosynthesis, Förster resonance energy transfer, quantum master equation theory