Quantum Optics

  1. Quantum States of Light
    1. Fock States
      1. Number State Definition
        1. Mathematical Properties
          1. Orthogonality
            1. Normalization
              1. Action of Ladder Operators
              2. Single-Photon States
                1. Generation Methods
                  1. Detection Properties
                  2. Multi-Photon States
                    1. N-Photon Fock States
                      1. Photon Number Uncertainty
                      2. Sub-Poissonian Character
                        1. Photon Number Fluctuations
                          1. Mandel Q Parameter
                        2. Coherent States
                          1. Definition and Construction
                            1. Displacement Operator
                              1. Action on Vacuum
                              2. Mathematical Properties
                                1. Normalization
                                  1. Overlap Functions
                                    1. Non-Orthogonality
                                    2. Physical Properties
                                      1. Minimum Uncertainty States
                                        1. Classical Field Correspondence
                                          1. Poissonian Photon Statistics
                                          2. Time Evolution
                                            1. Stability Under Evolution
                                              1. Phase Rotation
                                            2. Squeezed States
                                              1. Quadrature Operators
                                                1. Position and Momentum Quadratures
                                                  1. Uncertainty Relations
                                                    1. Variance Calculations
                                                    2. Squeezing Transformation
                                                      1. Squeeze Operator
                                                        1. Single-Mode Squeezing
                                                          1. Two-Mode Squeezing
                                                          2. Properties of Squeezed Light
                                                            1. Reduced Quantum Noise
                                                              1. Enhanced Sensitivity
                                                                1. Super-Poissonian Statistics
                                                                2. Generation Methods
                                                                  1. Parametric Processes
                                                                    1. Four-Wave Mixing
                                                                      1. Kerr Effect
                                                                    2. Thermal States
                                                                      1. Statistical Mixtures
                                                                        1. Density Matrix Formalism
                                                                          1. Mixed State Properties
                                                                          2. Thermal Distribution
                                                                            1. Planck Distribution
                                                                              1. Average Photon Number
                                                                                1. Photon Number Fluctuations
                                                                                2. Chaotic Light Properties
                                                                                  1. Bunching Behavior
                                                                                    1. Coherence Properties
                                                                                  2. Superposition States
                                                                                    1. Schrödinger Cat States
                                                                                      1. Even and Odd Coherent States
                                                                                        1. Superposition Principles
                                                                                        2. Decoherence Effects
                                                                                          1. Environmental Coupling
                                                                                            1. Decoherence Time Scales
                                                                                            2. Experimental Generation
                                                                                              1. Conditional Measurements
                                                                                                1. State Engineering
                                                                                              2. Phase Space Representations
                                                                                                1. Wigner Function
                                                                                                  1. Definition and Properties
                                                                                                    1. Phase Space Distribution
                                                                                                      1. Negativity and Nonclassicality
                                                                                                      2. Q-Function
                                                                                                        1. Husimi Distribution
                                                                                                          1. Positive Definite Property
                                                                                                          2. P-Representation
                                                                                                            1. Glauber-Sudarshan Function
                                                                                                              1. Classical vs Quantum States
                                                                                                                1. Singular Distributions

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                                                                                                            2. Quantization of the Electromagnetic Field

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                                                                                                            4. Light-Matter Interaction