Lectures on light : nonlinear and quantum optics using the density matrix / Stephen C. Rand.

Rand, Stephen C., author.
2nd ed.
Oxford : Oxford University Press, 2016.
1 online resource (395 p.)
Quantum optics.
Nonlinear optics.
Density matrices.
Electronic books.
This book bridges a gap between introductory optics texts and the vanguard of optical science, where light is used as a tool to probe the properties of new materials. A single mathematical tool is introduced that enables readers to understand laser tweezers, laser cooling, optical magnetism, squeezed light, and many other advanced topics.
Cover; Preface to the First Edition; Preface to the Second Edition; Contents; 1 Basic Classical Concepts; 1.1 Introduction; 1.2 Electric and Magnetic Interactions; 1.2.1 Classical Electromagnetism; 1.2.2 Maxwell's Equations; 1.2.3 The Wave Equation; 1.2.4 Absorption and Dispersion; 1.2.5 Resonant Response; 1.2.6 The Vectorial Character of Light; Supplementary Reading; 2 Basic Quantum Mechanics; 2.1 Particles and Waves; 2.2 Quantum Observables; 2.2.1 Calculation of Quantum Observables; 2.2.2 Time Development; 2.2.3 Symmetry; 2.2.4 Examples of Simple Quantum Systems
2.3 Dynamics of Two-Level Systems2.4 Representations; 2.4.1 Representations of Vector States and Operators; 2.4.2 Equations of Motion in Different Representations; 2.4.3 Matrix Representations of Operators; 2.4.4 Changing Representations; References; Problems; 3 Atom-Field Interactions; 3.1 The Interaction Hamiltonian; 3.2 Perturbation Theory; 3.3 Exact Analysis; 3.4 Preliminary Consideration of AC Stark or Rabi Splitting; 3.5 Transition Rates; 3.6 The Density Matrix; 3.6.1 Electric Dipole Transition Moments; 3.6.2 Pure Case Density Matrix; 3.6.3 Mixed Case Density Matrix; 3.7 Decay Phenomena
3.8 Bloch Equations3.9 Inhomogeneous Broadening, Polarization, and Signal Fields; 3.10 Homogeneous Line Broadening through Relaxation; 3.11 Two-Level Atoms Versus Real Atoms; References; Problems; 4 Transient Optical Response; 4.1 Optical Nutation; 4.1.1 Optical Nutation without Damping; 4.1.2 Optical Nutation with Damping; 4.2 Free Induction Decay; 4.3 Photon Echoes; 4.3.1 Algebraic Echo Analysis; 4.3.2 Rotation Matrix Analysis; 4.3.3 Density Matrix Operator Analysis; References; Problems; 5 Coherent Interactions of Fields with Atoms; 5.1 Stationary Atoms
5.1.1 Stationary Two-Level Atoms in a Traveling Wave5.1.2 Stationary Three-Level Atoms in a Traveling Wave; 5.1.3 Stationary Two-Level Atoms in a Standing Wave; 5.2 Moving Atoms; 5.2.1 Moving Atoms in a Traveling Wave; 5.2.2 Moving Atoms in a Standing Wave; 5.3 Tri-Level Coherence; 5.3.1 Two-Photon Coherence; 5.3.2 Zeeman Coherence; 5.4 Coherent Multiple Field Interactions; 5.4.1 Four-Wave Mixing; 5.4.2 Pump-Probe Experiments; 5.4.3 Quantum Interference; 5.4.4 Higher Order Interactions and Feynman Diagrams; References; Problems; 6 Quantized Fields and Coherent States
6.1 Quantization of the Electromagnetic Field6.2 Spontaneous Emission; 6.3 Weisskopf-Wigner Theory; 6.4 Coherent States; 6.5 Statistics ; 6.5.1 Classical Statistics of Light; 6.5.2 Quantum Statistics of Light; 6.6 Quantized Reservoir Theory; 6.6.1 The Reduced Density Matrix; 6.6.2 Application of the Reduced Density Matrix; 6.7 Resonance Fluorescence; 6.7.1 Fluorescence of Strongly Driven Atoms; 6.7.2 Coherence of Strongly Driven Two-Level Atoms; 6.8 Dressed Atom Theory; 6.8.1 Strong Coupling of Atoms to the Electromagnetic Field; 6.8.2 Dressed State Population Dynamics; References; Problems
7 Selected Topics and Applications
Description based upon print version of record.
Includes bibliographical references at the end of each chapters and index.
Description based on print version record.
Location Notes Your Loan Policy
Description Status Barcode Your Loan Policy