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Continuous-time quantum walk on an extended star graph: Trapping and superradiance transition
Saad Yalouz1, Vincent Pouthier1
1Institut UTINAM, Univ. Bourgogne Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France.
Physical Review. E
|March 18, 2018
Summary
This study models exciton dynamics on a star graph with a trap. Exciton absorption depends on graph size, while trapping dynamics are controlled by size and absorption rate, optimizing transfer efficiency.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Chemical physics
Background:
- Exciton dynamics are crucial in various physical and chemical processes.
- Understanding energy transfer in complex molecular structures is essential.
- Star graphs offer a simplified yet relevant model for studying transport phenomena.
Purpose of the Study:
- To introduce a tight-binding model for exciton dynamics on a star graph with a central trap.
- To analyze the influence of graph size and trap parameters on exciton behavior.
- To investigate conditions for optimized energy transfer efficiency.
Main Methods:
- Development of a tight-binding model.
- Analysis of eigenstates and eigenvalues (real and complex).
- Mathematical modeling of exciton population dynamics.
Main Results:
- Excitonic population absorbed by the trap is solely dependent on graph size.
- Trapping dynamics are governed by both graph size and absorption rate.
- Optimal transfer efficiency and minimized absorption time are achieved by tuning parameters near the superradiance transition.
Conclusions:
- The study reveals a size-dependent absorption of excitons.
- Trapping dynamics can be precisely controlled by adjusting network size and absorption rate.
- The findings highlight superoptimized and suboptimized transport efficiencies based on network size, linked to the superradiance phenomenon.
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