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Purcell effect and Lamb shift as interference phenomena.

Mikhail V Rybin1,2, Sergei F Mingaleev3, Mikhail F Limonov1,2

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This summary is machine-generated.

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.

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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.