Quantum Optics

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Wigner functions, phase space dynamics, and quantum state visualization

$ Quantization of a Single-Mode FieldCanonical quantization of a single electromagnetic mode $ Quantum Fluctuations and Quadrature OperatorsVacuum fluctuations, zero-point energy, and quadrature operators $ Vacuum Fluctuations and Observable EffectsMultimode fields, thermal states, Casimir effect, and vacuum energy consequences $ Coherent StatesCoherent states: definition, photon statistics, displacement operator, and algebraic properties $ Phase-Space RepresentationsQ, P, and Wigner quasi-probability distributions for visualizing quantum light $ Coherence FunctionsFirst-order correlation and optical coherence $ Higher-Order CoherencePhoton bunching, antibunching, and g(2) functions $ Interferometry and Single-Photon ExperimentsSingle-photon experiments, beam splitters, HOM effect, and quantum-enhanced interferometry $ Squeezed StatesQuadrature squeezing, displaced squeezed states, and two-mode entanglement $ Atom-Field InteractionDipole coupling and the rotating wave approximation $ Jaynes-Cummings ModelJaynes-Cummings model, Rabi oscillations, and collapse-revival dynamics $ Cavity QEDStrong coupling regime in optical cavities $ Quantum MeasurementsMeasurement theory, POVMs, and quantum state tomography

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