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Nanophotonics I: Quantum Theory of Microcavities

Syllabus (optional additional material)

  1. Introduction
  2. General theory of optical resonators. Revision of electromagnetism.
  3. Classical electromagnetism in layered dielectrics. Transfer matrices, reflection coefficients, photonic eigenstates.
  4. Periodic dielectric structures and microcavities. Bloch theorem, photonic bandstructure, distributed Bragg reflectors. The planar microcavity. (Other microcavity designs.)
  5. Quantum theory of light I: Harmonic oscillator, cavity quantum electrodynamics, second quantization and photons.
  6. Quantum theory of light II: Simple features of the cavity field, (multimode fields and vacuum divergences, Casimir effect).
  7. Light-matter interaction. Dipole approximation, second quantization for atomic states, Jaynes-Cummings model.
  8. Solution to the Jaynes-Cummings model. Rabi splitting, Rabi oscillations.
  9. Light-matter interaction in semiconductors. Coupling strength in a quantum dot.
  10. Experimental realizations of the Jaynes-Cummings model in semiconductors.
  11. The Dicke model: collective Rabi splitting and polaritons in dots/wells/atomic ensembles.
  12. Connection to Lorenz oscillator model.

Course Materials

Lecture notes and problems

Overheads from final lecture (local access only)