1 Classical Electromagnetic Fields 1.1 Maxwell's Equations in a Vacuum 1.2 Maxwell's Equations in a Medium 1.3 Linear Dipole Oscillator 1.4 Coherence 1.5 Free-Electron Lasers Problems 2 Classical Nonlinear Optics 2.1 Nonlinear Dipole Oscillator 2.2 Coupled-Mode Equations 2.3 Cubic Nonlinearity 2.4 Four-Wave Mixing with Degenerate Pump Frequencies 2.5 Nonlinear Susceptibilities Problems 3 Quantum Mechanical Background 3.1 Review of Quantum Mechanics 3.2 Time-Dependent Perturbation Theory 3.3 Atom-Field Interaction for Two-Level Atoms 3.4 Simple Harmonic Oscillator Problems 4 Mixtures and the Density Operator 4.1 Level Damping 4.2 The Density Matrix 4.3 Vector Model of Density Matrix Problems 5 CW Field Interactions 5.1 Polarization of Two-Level Medium 5.2 Inhomogeneously Broadened Media 5.3 Counterpropagating Wave Interactions 5.4 Two-Photon Two-Level Model 5.5 Polarization of Semiconductor Gain Media Problems 6 Mechanical Effects of Light 6.1 Atom-Field Interaction 6.2 Doppler Cooling 6.3 The Near-Resonant Kapitza-Dirac Effect 6.4 Atom Interferometry Problems 7 Introduction to Laser Theory 7.1 The Laser Self-Consistency Equations 7.2 Steady-State Amplitude and Frequency 7.3 Standing-Wave, Doppler-Broadened Lasers 7.4 Two-Mode Operation and the Ring Laser 7.5 Mode Locking 7.6 Single-Mode Semiconductor Laser Theory 7.7 Transverse Variations and Gaussian Beams Problems 8 Optical Bistability 8.1 Simple Theory of Dispersive Optical Bistability 8.2 Absorptive Optical Bistability
8.3 Ikeda Instability Problems 9 Saturation Spectroscopy 9.1 Probe Wave Absorption Coefficient 9.2 Coherent Dips and the Dynamic Stark Effect 9.3 Inhomogeneously Broadened Media 9.4 Three-Level Saturation Spectroscopy 9.5 Dark States and Electromagnetically Induced Transparency Problems 10 Three and Four Wave Mixing 10.1 Phase Conjugation in Two-Level Media 10.2 Two-Level Coupled Mode Coefficients 10.3 Modulation Spectroscopy 10.4 Nondegenerate Phase Conjugation by Four-Wave Mixing Problems 11 Time-Varying Phenomena in Cavities 11.1 Relaxation Oscillations in Lasers 11.2 Stability of Single-Mode Laser Operation 11.3 Multimode Mode Locking 11.4 Single-Mode Laser and the Lorenz Model Problems 12 Coherent Transients 12.1 Optical Nutation 12.2 Free Induction Decay 12.3 Photon Echo 12.4 Ramsey Fringes 12.5 Pulse Propagation and Area Theorem 12.6 Self-Induced Transparency 12.7 Slow Light Problems 13 Field Quantization 13.1 Single-Mode Field Quantization 13.2 Multimode Field Quantization 13.3 Single-Mode Field in Thermal Equilibrium 13.4 Coherent States 13.5 Coherence of Quantum Fields 13.6 Quasi-Probability Distributions 13.7 Schrodinger Field Quantization 13.8 The Gross-Pitaevskii Equation Problems 14 Interaction Between Atoms and Quantized Fields 14.1 Dressed States 14.2 Jaynes-Cummings Model 14.3 Spontaneous Emission in Free Space 14.4 Quantum Beats Problems 15 System-Reservoir Interactions 15.1 Master Equation 15.2 Fokker-Planck Equation 15.3 Langevin Equations
15.4 Monte-Carlo Wave Functions 15.5 Quantum Regression Theorem and Noise Spectra Problems 16 Resonance Fluorescence 16.1 Phenomenology 16.2 Langevin Equations of Motion 16.3 Scattered Intensity and Spectrum 16.4 Connection with Probe Absorption 16.5 Photon Antibnnching 16.6 Off-Resonant Excitation Problems 17 Squeezed States of Light 17.1 Squeezing the Coherent State 17.2 Two-Sidemode Master Equation 17.3 Two-Mode Squeezing 17.4 Squeezed Vacuum Problems 18 Cavity Quantum ElectrodynAmlcs 18.1 Generalized Master Equation for the Atom-Cavity System 18.2 Weak Coupling Regime 18.3 Strong Coupling Regime 18.4 Velocity-Dependent Spontaneous Emission 18.5 Input-Output Formalism Problems 19 Quantum Theory of a Laser 19.1 The Micromaser 19.2 Single Mode Laser Master Equation 19.3 Laser Photon Statistics and Linewidth 19.4 Quantized Sidemode Buildup Problems 20 Entanglement, Bell Inequalities and Quantum Information 20.1 Einstein-Podolsky-Rosen Paradox and Bell Inequalities 20.2 Bipartite Entanglement 20.3 The Quantum Beam Splitter 20.4 Quantum Teleportation 20.5 Quantum Cryptography 20.6 Toward Quantum Computing Problems References Index
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