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

- Edition:
- 2nd ed.
- Publication:
- Oxford : Oxford University Press, 2016.
- Format/Description:
- Book

1 online resource (395 p.) - Subjects:
- Quantum optics.

Nonlinear optics.

Density matrices. - Form/Genre:
- Electronic books.
- Summary:
- 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.
- Contents:
- 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 - Notes:
- Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

Description based on print version record. - ISBN:
- 0-19-181783-X

0-19-107528-0 -
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