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Updated: Jun 20, 2026
07:39
Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
Published on: July 21, 2018
Coupled two-quantum-transition probability for laser photons and microwave plasmons
Optics Letters
|September 5, 2009
Summary
Researchers developed a new method for analyzing two-quantum transitions using a plasmon-state vector and a time-independent Hamiltonian. This approach simplifies calculations and allows for the application of Fermi
Area of Science:
- Quantum optics
- Solid-state physics
- Plasmonics
Background:
- Two-quantum transitions are fundamental processes in light-matter interactions.
- Calculating these transitions often involves complex, time-dependent Hamiltonians.
- Existing methods may not be suitable for all plasmonic systems.
Purpose of the Study:
- To develop a simplified theoretical framework for analyzing two-quantum transitions in plasmonic systems.
- To enable the application of Fermi's golden rule to these transitions.
- To investigate the role of different Hamiltonians in off-resonant frequency regimes.
Main Methods:
- Introduction of a plasmon-state vector analogous to a photon-field oscillator.
- Application of the rotating-wave approximation.
- Transformation to a time-independent interaction Hamiltonian.
Main Results:
- Fermi's golden rule can be applied to two-quantum transitions.
- A time-independent interaction Hamiltonian is achieved.
- The multipolar Hamiltonian is sufficient for off-resonant frequencies, despite the necessity of a vector potential for oscillator state vectors.
Conclusions:
- The proposed plasmon-state vector approach simplifies the theoretical treatment of two-quantum transitions.
- This method provides a pathway for more accurate predictions in plasmonics.
- The findings are relevant for understanding light-matter interactions in nanostructures.
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