Quantum Theory of Light

ISBN-10: 0198501765
ISBN-13: 9780198501763
Edition: 3rd 2000 (Revised)
Authors: Rodney Loudon
List price: $95.00
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Description: This third edition, like its two predecessors, provides a detailed account of the basic theory needed to understand the properties of light and its interactions with atoms, in particular the many nonclassical effects that have now been observed in  More...

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Book details

List price: $95.00
Edition: 3rd
Copyright year: 2000
Publisher: Oxford University Press, Incorporated
Publication date: 11/23/2000
Binding: Paperback
Pages: 448
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.430

This third edition, like its two predecessors, provides a detailed account of the basic theory needed to understand the properties of light and its interactions with atoms, in particular the many nonclassical effects that have now been observed in quantum-optical experiments. The earlier chapters describe the quantum mechanics of various optical processes, leading from the classical representation of the electromagnetic field to the quantum theory of light. The later chapters develop the theoretical descriptions of some of the key experiments in quantum optics. Over half of the material in this third edition is new. It includes topics that have come into prominence over the last two decades, such as the beamsplitter theory, squeezed light, two-photon interference, balanced homodyne detection, travelling-wave attenuation and amplification, quantum jumps, and the ranges of nonliner optical processes important in the generation of nonclassical light. The book is written as a textbook, with the treatment as a whole appropriate for graduate or postgraduate students, while earlier chapters are also suitable for final- year undergraduates. Over 100 problems help to intensify the understanding of the material presented.

Introduction: The photon
Planck's radiation law and the Einstein coefficients
Density of field modes in a cavity
Quantization of the field energy
Planck's law
Fluctuations in photon number
Einstein's A and B coefficients
Characteristics of the three Einstein transitions
Optical excitation of two-level atoms
Theory of optical attenuation
Population inversion: optical amplification
The laser
Radiation pressure
Quantum mechanics of the atom-radiation interaction
Time-dependent quantum mechanics
Form of the interaction Hamiltonian
Expressions for the Einstein coefficients
The Dirac delta-function and Fermi's golden rule
Radiative broadening and linear susceptibility
Doppler broadening and composite lineshape
The optical Bloch equations
Power broadening
Collision broadening
Bloch equations and rate equations
Classical theory of optical fluctuations and coherence
Models of chaotic light sources
The lossless optical beam-splitter
The Mach-Zehnder interferometer
Degree of first-order coherence
Interference fringes and frequency spectra
Intensity fluctuations of chaotic light
Degree of second-order coherence
The Brown-Twiss interferometer
Semiclassical theory of optical detection
Quantization of the radiation field
Potential theory for the classical electromagnetic field
The free classical field
The quantum-mechanical harmonic oscillator
Quantization of the electromagnetic field
Canonical commutation relation
Pure states and statistical mixtures
Time development of quantum-optical systems
Interaction of the quantized field with atoms
Second quantization of the atomic Hamiltonian
Photon absorption and emission rates
The photon intensity operator
Quantum degrees of first and second-order coherence
Single-mode quantum optics
Single-mode field operators
Number states
Coherent states
Chaotic light
The squeezed vacuum
Squeezed coherent states
Beam-splitter input-output relations
Single-photon input
Arbitrary single-arm input
Nonclassical light
Multimode and continuous-mode quantum optics
Multimode states
Continuous-mode field operators
Number states
Coherent states
Chaotic light: photon bunching and antibunching
The Mach-Zehnder interferometer
Photon pair states
Two-photon interference
Squeezed light
Quantum theory of direct detection
Homodyne detection
The electromagnetic vacuum
Optical generation, attenuation and amplification
Single-mode photon rate equations
Solutions for fixed atomic populations
Single-mode laser theory
Fluctuations in laser light
Travelling-wave attenuation
Travelling-wave amplification
Dynamics of the atom-radiation system
The source-field expression
Emission by a driven atom
Resonance fluorescence and light scattering
The scattering cross-section
Resonance fluorescence
Weak incident beam
Single-atom resonance fluorescence
Quantum jumps
Two-photon cascade emission
The Kramers-Heisenberg formula
Elastic Rayleigh scattering
Inelastic Raman scattering
Nonlinear quantum optics
The nonlinear susceptibility
Electromagnetic field quantization in media
Second-harmonic generation
Parametric down-conversion
Parametric amplification
Self-phase modulation
Single-beam two-photon absorption

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