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Purcell effect and Lamb shift as interference phenomena
Mikhail V Rybin1,2, Sergei F Mingaleev3, Mikhail F Limonov1,2
1Ioffe Institute, St. Petersburg 194021, Russia.
Scientific Reports
|February 11, 2016
Summary
This study explores classical explanations for quantum phenomena like the Purcell effect and Lamb shift in photonics. It demonstrates a link to Fano resonance using a photonic crystal waveguide, validating classical and quantum approaches.
Area of Science:
- Photonics
- Quantum Electrodynamics
- Condensed Matter Physics
Background:
- The Purcell effect and Lamb shift are quantum electrodynamic phenomena driven by zero-point vibrations.
- Classical explanations for these effects are less explored, particularly in photonic systems.
Purpose of the Study:
- To investigate the classical counterparts of the Purcell effect and Lamb shift in photonics.
- To explain these phenomena through wave interference.
- To demonstrate their connection to Fano resonance.
Main Methods:
- Analysis of a waveguide in a planar photonic crystal with a side-coupled defect.
- Comparison of results from quantum and classical approaches.
- Examination of wave interference phenomena.
Main Results:
- Perfect agreement found between quantum and classical approaches.
- Demonstrated link between these effects and Fano resonance.
- Purcell effect modified lifetime by over 25 times.
- Lamb shift exceeded 3 half-widths of the cavity spectral line.
Conclusions:
- Classical wave interference provides a valid explanation for the Purcell effect and Lamb shift in photonic systems.
- The waveguide-cavity geometry in photonic crystals is a suitable system for observing these effects.
- The study bridges quantum and classical descriptions of fundamental physical phenomena.
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