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
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
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
Mixtures and the Density Operator
4.1 Level Damping
4.2 The Density Matrix
4.3 Vector Model of Density Matrix
Problems
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
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
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
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
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 SchrSdinger Field Quantization
13.8 The Gross-Pitaevskii Equation
Problems
Interaction Between Atoms and Quantized Fields
14.1 Dressed States
14.2 Jaynes-Cummlngs Model
14.3 Spontaneous Emission in Free Space
14.4 Quantum Beats
Problems
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
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
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
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
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
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