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Contents

• List of Figures
• Introduction
  • Quantum Electrodynamics (QED)
  • Cavity QED (cQED)
  • Microcavity QED (mcQED)
  • Summary of contents
  
  
• Theoretical Background
  • The harmonic oscillator: bosonic states
  • The two level system: fermionic states
  • Coherent coupling
  • Incoherent processes: master equation and Lindblad terms
  • First order coherence function and the power spectrum
    • Basic examples
    • The manifold approach
  • The Quantum Regression Formula
  • Second order correlation function and the noise spectrum
  
  
• One quantum dot in a microcavity: the linear model
  • Introduction
  • Mean values
  • First order correlation function and power spectrum
    • Spontaneous Emission
    • Steady State under continuous incoherent pumping
    • Discussion
  • Strong and Weak Coupling at resonance
    • Spontaneous Emission
    • Steady State under continuous incoherent pumping
    • Discussion
  • Fitting of the experimental data
  • Second order correlation function
  • Possible extensions of this work
  • Conclusions
  
  
• Two coupled quantum dots
  • Introduction
  • First order correlation function and power spectrum
    • Mean values
    • Spectrum at resonance in the Steady State
  • Strong and Weak coupling at resonance
    • Vanishing pump (and SE) case in the manifold picture
    • The effect of the pump and the SC/WC phase space
  • Some examples
    • Optimally symmetrical cases:
    • Detrimentally symmetrical cases:
  • Second order correlation function
  • Possible extensions of this work
  • Conclusions
  
  
• One quantum dot in a microcavity: nonlinear models
  • Introduction
  • The anharmonic oscillator
    • First order correlation function and power spectrum
    • Second order correlation function
  • Linear model with excitonic interactions
    • Spectrum with the manifold method
    • Spectrum with the quantum regression formula
  • The Jaynes-Cummings model
    • First order correlation function and power spectrum
    • Vanishing pump case in the manifold picture
    • Population and Statistics
    • Weights and Renormalization
    • Spectrum at Resonance
    • Spectrum with detuning
  • Future work
  • Conclusions
  
  
• Two quantum dots in a microcavity
  • Introduction
  • Two quantum dots in a microcavity
    • Entanglement
    • Application in a three QD transport experiment
    • One-photon lasing
    • Two-photon lasing
  • One quantum dot in a cavity with a biexcitonic state
    • Effective Hamiltonian close to the two-photon resonance
    • Two-photon lasing
    • Spectrum with detuning
  • Future work
  • Conclusions
  
  
• Conclusions
• Bibliography