This book grew out of a 2-semester graduate course in laser physics and quan-tum optics. It requires a solid understanding of elementary electromagnetismas well as at least one, but preferably two, semesters of quantum mechanics.

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 SchrSdinger Field Quantization

 13.8 The Gross-Pitaevskii Equation

 Problems

14 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

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